In statistical process control, a Type I error occurs if we decide that the process is

51) In statistical process control, a Type I error occurs if we decide that the process is
A. under control when it is under control.
B. out of control when it is out of control.
C. under control when it is out of control.
D. out of control when it is under control.

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RES 342 RES342 Final Exam

Variations in process output that are caused by a number of randomly occurring events that are part of the production process are

50) Variations in process output that are caused by a number of randomly occurring events that are part of the production process are
A. special causes.
B. common causes.
C. out-of-control causes.
D. All of the these
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RES 342 RES342 Final Exam

When a change has occurred in the mean of the process distribution, the result is referred to as

49) When a change has occurred in the mean of the process distribution, the result is referred to as
A. a cycle.
B. a trend.
C. a level shift.
D. instability
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RES 342 RES342 Final Exam

A time series is a Smoothing time series data by the moving average method or exponential smoothing method is an attempt to remove the effect of the

48) Smoothing time series data by the moving average method or exponential smoothing method is an attempt to remove the effect of the
A. seasonal component.
B. irregular variation component.
C. trend component.
D. cyclical component.
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RES 342 RES342 Final Exam

If we want to measure the seasonal variations on stock market performance by quarter, we would need

46) If we want to measure the seasonal variations on stock market performance by quarter, we would need
A. 2 indicator variables.
B. 1 indicator variables.
C. 4 indicator variables.
D. 3 indicator variables.
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RES 342 RES342 Final Exam

If the Durbin-Watson statistic, DW, has values greater than 2, this indicates

45) If the Durbin-Watson statistic, DW, has values greater than 2, this indicates
A. a positive first–order autocorrelation.
B. a negative first–order autocorrelation.
C. no first–order autocorrelation at all.
D. None of the above
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RES 342 RES342 Final Exam

A regression analysis between sales, in $1,000, and advertising, in $100, resulted in the following least squares line

35) A regression analysis between sales, in $1,000, and advertising, in $100, resulted in the following least squares line: Sales' = 75 + 6*(Advertising). This implies that if advertising is $800, sales will be
A. $123,000.
B. $487,500.
C. $4,875.
D. $12,300.
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RES 342 RES342 Final Exam

Which of the following statements about multiple regression is TRUE?

44) Which of the following statements about multiple regression is TRUE?
A. If we have taken into account all relevant explanatory factors, the residuals from a multiple regression should be random.
B. The coefficient of multiple determination is calculated by taking the ratio of the regression sum of squares over the total sum of squares and subtracting that value from 1.
C. A multiple regression is called multiple because it has several data points.
D. The total sum of squares in a regression model will never exceed the regression sum of squares.
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RES 342 RES342 Final Exam

If a group of independent variables are not significant individually but are significant as a group at a specified level of significance, this is most likely due to

43) If a group of independent variables are not significant individually but are significant as a group at a specified level of significance, this is most likely due to
A. the absence of binary variables.
B. the presence of binary variables.
C. autocorrelation
D. multicollinearity.
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RES 342 RES342 Final Exam

When a dummy variable is included in a multiple regression model, the interpretation of the estimated slope coefficient does not make any sense.

38) The least squares regression line is obtained when the sum of the squared residuals is minimized.
A. True B. False

39) When a dummy variable is included in a multiple regression model, the interpretation of the estimated slope coefficient does not make any sense.
A. True B. False

40) An inverse relationship between an independent variable x and a dependent variable y means that, as x increases, y decreases, and vice versa.
A. True B. False

41) If the coefficient of correlation is –0.81, then the percentage of the variation in y that is explained by the regression line is 81%.
A. True B. False

42) Except for the values r = -1, 0, and 1, we cannot be specific in our interpretation of the coefficient of correlation r. However, when we square it, we produce a more meaningful statistic.
A. True B. False
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RES 342 RES342 Final Exam

What randomness exists in the linear regression model?

37) What randomness exists in the linear regression model?
A. The randomness from the explanatory variables, the X's
B. The randomness from what is unexplained, the error
C. The randomness of the dependent variable, the Y's
D. None of these
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RES 342 RES342 Final Exam

The least squares line is the line guaranteed to be the line of all possible lines

36) The least squares line is the line guaranteed to be the line of all possible lines
A. that has the smallest squared sum of the distance between observations and predictions.
B. that has the smallest sum of squared distance between observations and predictions.
C. around which the smallest square be drawn.
D. that connects the most observations with the fewest turns.
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RES 342 RES342 Final Exam

regression analysis between sales, in $1,000, and advertising, in $100, resulted in the following least squares line

35) A regression analysis between sales, in $1,000, and advertising, in $100, resulted in the following least squares line: Sales' = 75 + 6*(Advertising). This implies that if advertising is $800, sales will be
A. $123,000.
B. $487,500.
C. $4,875.
D. $12,300.
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RES 342 RES342 Final Exam

Two models were proposed for a simple regression of tree height on bark thickness, Model A: Height’ = 7.8*Bark + 37 and Model B

34) Two models were proposed for a simple regression of tree height on bark thickness, Model A: Height’ = 7.8*Bark + 37 and Model B: Height’ = 8*Bark + 35. Using the information and calculations below, which model is best? Model A: Height’ = 7.8*Bark + 37 Tree ID Height (feet) Bark Thickness (millimeters) Predicted Height Error Squared Error 1 150 15 2 175 18 177.4 -2.4 5.76 3 225 21 200.8 24.2 585.64 4 200 23 216.4 -16.4 268.96 Model 8: Height’ = 8*Bark + 35 Tree ID Height (feet) Bark Thickness (millimeters) Predicted Height Error Squared Error 1 150 15 155 -5 25 2 175 18 179 -4 16 3 225 21 203 22 484 4 200 23
A. Model A
B. Model B
C. The models are identical.
D. It is impossible to determine the best model.
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RES 342 RES342 Final Exam

the nonparametric counterpart of the randomized block model of the ANOVA is the

33) The nonparametric counterpart of the randomized block model of the ANOVA is the
A. Wilcoxon rank sum test.
B. Wilcoxon signed rank sum test.
C. Kruskal-Wallis test.
D. Friedman test.
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RES 342 RES342 Final Exam

If each group has at least five observations, the distribution of the Kruskal-Wallis H is

32) If each group has at least five observations, the distribution of the Kruskal-Wallis H is
A. F
B. x2
C. t
D. z
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RES 342 RES342 Final Exam

How many runs are in the sequence TFTFFFFTTF?

31) How many runs are in the sequence TFTFFFFTTF?
A. 2
B. 5
C. 4
D. 6
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RES 342 RES342 Final Exam

In the chi-squared goodness-of-fit test, if the expected frequencies ei and the observed frequencies fi were quite different, we would conclude that the

30) In the chi-squared goodness-of-fit test, if the expected frequencies ei and the observed frequencies fi were quite different, we would conclude that the
A. null hypothesis is false, and we would reject it.
B. alternative hypothesis is false, and we would reject it.
C. null hypothesis is true, and we would not reject it.
D. chi-squared distribution is invalid, and we would use the t-distribution. instead
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RES 342 RES342 Final Exam

Of the values for a chi-squared test statistic listed below, which one is most likely to lead to rejecting the null hypothesis in a goodness-of-fit test?

29) Of the values for a chi-squared test statistic listed below, which one is most likely to lead to rejecting the null hypothesis in a goodness-of-fit test?
A. 45
B. 1.2
C. 2.1
D. 0
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RES 342 RES342 Final Exam

A test of independence in a contingency table with five rows and four columns has the following degrees of freedom

28) A test of independence in a contingency table with five rows and four columns has the following degrees of freedom:
A. 20
B. 9
C. 12
D. 7
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RES 342 RES342 Final Exam

The nonparametric counterpart of the parametric one-way analysis of variance F-test is the

27) The nonparametric counterpart of the parametric one-way analysis of variance F-test is the
A. Kruskal-Wallis test.
B. Spearman’s rho.
C. Friedman test.
D. Wilcoxon signed rank sum test.
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RES 342 RES342 Final Exam

Consider the following data set: 14, 14, 15, 16, 18, 19, 19, 20, 21, 22, 23, 25, 25, 25, 25, and 28. The rank assigned to the four observations of value 25 is

26) Consider the following data set: 14, 14, 15, 16, 18, 19, 19, 20, 21, 22, 23, 25, 25, 25, 25, and 28. The rank assigned to the four observations of value 25 is
A. 12
B. 13
C. 12.5
D. 13.5
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RES 342 RES342 Final Exam

The appropriate measure of central location of ordinal data is the

25) The appropriate measure of central location of ordinal data is the
A. mean.
B. median.
C. mode.
D. all of these.
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RES 342 RES342 Final Exam

An analysis of variance (ANOVA) tests population variance

21) An analysis of variance (ANOVA) tests population variance.
A. True B. False

22) Hartley's test measures the equality of the means for several groups.
A. True B. False

23) When the problem objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called the randomized block design.
A. True B. False

24) Comparison of c means in a one-factor ANOVA is the same as using c repeated t-tests.
A. True B. False
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RES 342 RES342 Final Exam

If we simultaneously examine the effects of two factors on the dependent variable, along with the effects of interactions between different levels of those factors

20) If we simultaneously examine the effects of two factors on the dependent variable, along with the effects of interactions between different levels of those factors, we are performing a three-factor analysis of variance.
A. True B. False
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RES 342 RES342 Final Exam

The F-test of the randomized block design of the analysis of variance has the same requirements as the independent sample design; that is, the random variable must be normally distributed

19) The F-test of the randomized block design of the analysis of variance has the same requirements as the independent sample design; that is, the random variable must be normally distributed and the population variances must be equal.
A. True B. False
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RES 342 RES342 Final Exam

A test for equality of two variances has sample sizes n1 = 13 and n2 = 10. The degrees of freedom for the test are

18) A test for equality of two variances has sample sizes n1 = 13 and n2 = 10. The degrees of freedom for the test are
A. 21.
B. 13 and 10.
C. 26.
D. 12 and 9.
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RES 342 RES342 Final Exam

A pooled proportion estimate may be used to calculate the test statistic for a test of the equality of proportions when the

17) A pooled proportion estimate may be used to calculate the test statistic for a test of the equality of proportions when the
A. populations are normally distributed.
B. samples are independently drawn from the populations.
C. sample sizes are small.
D. null hypothesis states that the two population proportions are equal.
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RES 342 RES342 Final Exam

When testing for differences between two means, the Behrens-Fisher problem arises when the sample populations are

16) When testing for differences between two means, the Behrens-Fisher problem arises when the sample populations are
A. normal with equal variances.
B. are non-normal and have equal variances.
C. are normal with unequal variances.
D. are non-normal and have unequal variances.
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RES 342 RES342 Final Exam

The expected value of the sampling distribution of the sample mean equals the populations mean

15) The expected value of the sampling distribution of the sample mean equals the populations mean
A. When the population is normally distributed.
B. When the population size N>30.
C. When the population is symmetric.
D. For all populations.
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RES 342 RES342 Final Exam

The standard error of the sample mean is equal to 5 when n=25. If the sample size increases by a factor of four, who will the standard error change?

14) The standard error of the sample mean is equal to 5 when n=25. If the sample size increases by a factor of four, who will the standard error change?
A. It will double.
B. It will be cut to ¼ of 5.
C. It will be cut in half.
D. It will quadruple.
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RES 342 RES342 Final Exam

Which of the following statements is consistent with the Central Limit Theorem?

13) Which of the following statements is consistent with the Central Limit Theorem?
A. Means of samples of n=30 from an exponential distribution will be approximately normally distributed.
B. When µ and s are known, the population will be approximately normally distributed.
C. If a population has µ and s, a sample from that population will be normally distributed if the sample size is large enough.
D. When we know s, the variation in the sample means will be equal to that of the population.
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RES 342 RES342 Final Exam

Which of the following statements is false for an F-distribution?

12) Which of the following statements is false for an F-distribution?
A. Degrees of freedom for the numerator may be larger, smaller, or equal to the degrees of freedom for the denominator.
B. Variables that are F distributed range from 0 to infinity.
C. The exact shape of the distribution is determined by two numbers of degrees of freedom.
D. Degrees of freedom for the denominator are always smaller than degrees of freedom for the numerator.
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RES 342 RES342 Final Exam

The pooled variance of the two samples is the average of the sample variances when n1 = n2

11) The pooled variance of the two samples is the average of the sample variances when n1 = n2.
A. True B. False
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RES 342 RES342 Final Exam

In a test of the equality of two means, the variable of interest is the difference between the values of the observations, rather than the observations.

10) In a test of the equality of two means, the variable of interest is the difference between the values of the observations, rather than the observations.
A. True B. False
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RES 342 RES342 Final Exam

A test for equality of two variances has samples sizes n1 = 13 and n2 = 10. The degrees of freedom for the test are

9) A test for equality of two variances has samples sizes n1 = 13 and n2 = 10. The degrees of freedom for the test are
A. 12 and 9.
B. 21.
C. 26.
D. 13 and 10.
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RES 342 RES342 Final Exam

You are conducting a two-tailed test of means but your software package only calculates a one-tailed p-value equal to 0.13. The actual p-value for your test is A. need a table to calculate this value

8) You are conducting a two-tailed test of means but your software package only calculates a one-tailed p-value equal to 0.13. The actual p-value for your test is
A. need a table to calculate this value.
B. 0.13
C. 0.065
D. 0.26
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RES 342 RES342 Final Exam

A test for equality of two variances is based on

7) A test for equality of two variances is based on
A. the ratio of the sample variances
B. A. the difference between the sample variances.
C. the difference between the population variances.
D. C. the difference between the sample coefficients of variation.
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RES 342 RES342 Final Exam

The Roman Senate has become concerned about the loyalty of the army in Gaul commanded by Julius Caesar. They claim that, of the 80,000 men in the army, at least 28,000 are foreign barbarians.

6) The Roman Senate has become concerned about the loyalty of the army in Gaul commanded by Julius Caesar. They claim that, of the 80,000 men in the army, at least 28,000 are foreign barbarians. Caesar believes there are fewer barbarians, so the Senate should not worry. He polls one legion of 1,000 men and finds that 340 of them are barbarians. What is the appropriate set of hypotheses to determine if the Senatorial concern is valid?
A. H0: B ? 0.35 H1: B < 0.35 B. H0: B = 0.35 H1: = B > 0.35
C. H0: B # X.XX H1: = B > 0.34
D. H0: : # XX,XXX H1: : > 28,000
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RES 342 RES342 Final Exam

The Roman Senate has become concerned about the loyalty of the army in Gaul commanded by Julius Caesar. They claim that, of the 80,000 men in the army, at least 28,000 are foreign barbarians.

5) The Roman Senate has become concerned about the loyalty of the army in Gaul commanded by Julius Caesar. They claim that, of the 80,000 men in the army, at least 28,000 are foreign barbarians. Caesar believes there are fewer barbarians, so the Senate should not worry. He polls one legion of 1,000 men and finds that 340 of them are barbarians. What is the test statistic for this hypothesis test?
A. (0.34-0.35)/0.063
B. (0.35-0.34)/100
C. (0.34-0.35)/0.015
D. (0.35-0.34)/0.2275
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RES 342 RES342 Final Exam

Type II error is committed when we reject a null hypothesis that is true. A. True

1) Type II error is committed when we reject a null hypothesis that is true. A. True B. False
2) If the p-value is less than a in a two-tailed test, the null should be rejected. A. True B. False
3) The value that separates a rejection region from a non-rejection region is called the test statistic. A. True B. False
4) In classical hypothesis testing, the test statistic is to the critical value what the ________________.
A. level of significance is to the test statistic
B. p-value is to alpha
C. critical value is to alpha
D. test statistic is to the p-value
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RES 342 RES342 Final Exam

An analysis of graduates from a local business college was performed to determine if there was a relationship between GPA and starting salary of recent graduates

54) An analysis of graduates from a local business college was performed to determine if there was a relationship between GPA and starting salary of recent graduates. It was believed that a higher GPA would result in a higher starting salary. The analysis of data collected from recent graduates produced the following correlation matrix.
Salary GPA
0.902
Business 0.911 0.851
Which statement is correct regarding the interpretation of the analysis?

A. Nothing can be stated based on this data analysis.
B. GPA is explaining about 50% of the variation.
C. The belief that there is a relationship between GPA and starting salary is correct.
D. The belief that there is a relationship between GPA and starting salary is incorrect. Download 2 Sets of Final Exams : click HERE





RES 342 RES342 Final Exam

The owner of a local construction company that specializes in outdoor structures desires to make a prediction regarding the next business year sales.

53) The owner of a local construction company that specializes in outdoor structures desires to make a prediction regarding the next business year sales. Expansion of the business is one possible decision that could be made. It has been determined that the business needs to be at least $8 million dollars in annual sales before expansion could be considered. The following is data for the past 6 years. (Sales in millions of dollars.)
Year Sales Year Sales
2004 7.45 2007 7.94
2005 7.83 2008 7.76
2006 8.07 2009 7.90
The statistical analysis of the data produced this least square trend equation.
Y' = 7.634 + 0.05457t
What should the owner's decision be regarding expansion in 2010?

A. Expansion should be delayed
B. Expansion decision could go either way based on data
C. Cannot make a decision based on this data
D. Expansion should be considered
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RES 342 RES342 Final Exam

Midwest State University Office of Registrar is reviewing the university’s enrollment for the past 10 years. It is know that there are seasonal variable that affects the university’s enrollment

Midwest State University Office of Registrar is reviewing the university’s enrollment for the past 10 years. It is know that there are seasonal variable that affects the university’s enrollment. To be better able to address business decisions that are affected by enrollment, an analysis of data was necessary. The school operates on a quarter system of enrollment starting typically with fall quarter and ending with summer quarter. The analysis of the data produced these four quarterly indexes.
Fall Winter Spring Summer
1.2617 1.1896 1.1040 0.4447
Which statement is correct based on this analysis?

A. The pattern is predictable and reasonable.
B. Fall quarter needs to receive major attention to handle enrollment.
C. Summer quarter appears to be too low.
D. Winter and spring quarters should be treated differently.
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RES 342 RES342 Final Exam

The time series component that reflects variability over short, repetitive time periods that last less than one year is called

51) The time series component that reflects variability over short, repetitive time periods that last less than one year is called

A. seasonal variation.
B. cyclical variation.
C. long–term trend.
D. irregular variation.
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RES 342 RES342 Final Exam

A time series is a model that attempts to analyze the relationship between a dependent variable and one or more independent variables.

50) A time series is

A. a model that attempts to analyze the relationship between a dependent variable and one or more independent variables.
B. a set of measurements on a variable taken over some time period in chronological order.
C. a set of measurements on a variable collected at the same time or approximately the same period of time.
D. a model that attempts to forecast the future value of a variable.
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RES 342 RES342 Final Exam

49) If a quarterly seasonal index is 0.66, it implies that

49) If a quarterly seasonal index is 0.66, it implies that

A. the other three quarter percentages will total 34%
B. the quarter's sales are 66% of the year total sales
C. the quarter's sales are 6% above the yearly average
D. the quarter's sales are 66% of the yearly average
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RES 342 RES342 Final Exam

If the net regression coefficients in the population are significantly different from zero, what can be included?

If the net regression coefficients in the population are significantly different from zero, what can be included?

A. At least one of the net regression coefficients is not equal to zero.
B. No relationship exists between the dependent variable and any of the independent variables.
C. Very strong correlations exist among the variables.
D. Good predictions are not possible.
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RES 342 RES342 Final Exam

Which of the following statements about multiple regression is TRUE?

47) Which of the following statements about multiple regression is TRUE?

A. If we have taken into account all relevant explanatory factors, the residuals from a multiple regression should be random.
B. A multiple regression is called multiple because it has several data points.
C. The coefficient of multiple determination is calculated by taking the ratio of the regression sum of squares over the total sum of squares and subtracting that value from 1.
D. The total sum of squares in a regression model will never exceed the regression sum of squares.
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RES 342 RES342 Final Exam

In a multiple regression ANOVA table, explained variation is represented by

46) In a multiple regression ANOVA table, explained variation is represented by

A. the regression coefficients
B. the regression sum of squares
C. the correlation matrix
D. the total sum of squares
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RES 342 RES342 Final Exam

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