Mat221 Final Quiz Answered



(TCO 9) The hours of study and the final exam grades have this type of relationship:
ลท = 5.76(hours) + 35.31. Based on this linear regression equation, estimate the expected grade for a student spending 8 hours studying. Round your answer to two decimal places. (Points : 6)
46.08
81.39
91.45
85.29

2. (TCO 5) At a drive through window of a bank it’s found that 10 customers get served every 15 minutes. The bank’s manage is interested in finding a way to increase the number of customers that can be served. He thought that knowing the probability of serving 12 customers per 15 minutes could be helpful to him in the decision making process. Choose the best answer of the following: (Points : 6)
This is an example of a Poisson probability experiment
This is an example of a Binomial probability experiment
This is neither a Poisson nor a Binomial probability experiment
Not enough information to determine the type of experiment

3. (TCO 5) Microfracture knee surgery has a 75% chance of success on patients with degenerative knees. The surgery is performed on 5 patients. Find the probability of the surgery being successful on more than 3 patients? (Points : 6)
0.487304
0.367188
0.632813
0.762695

4. (TCO 5) It has been recorded that 10 people get killed by shark attack every year. What is the probability of having 5 or 6 people get killed by shark attack this year? (Points : 6)
0.130141
0.026484
0.100889
0.067086

5. (TCO 2) The median teaching hours for a full time faculty at a state university is eight hours per week. What does this tell you about the typical teaching hours for full time faculty at that university? (Points : 6)
Half of the full time faculties teach less than eight hours per week while half teaches more than eight hours per week.
The average teaching hours for full time faculty is eight hours per week.
More full time faculty teaches eight hours per week than any other number of teaching hours.
The number of teaching hours for full time faculty in not very consistent because eight is such a low number.

6. (TCO 6) Assuming that the data are normally distributed with a mean of 25 and a standard deviation of 1.25, what is the z-score for a value of 27? (Points : 6)
2.30
1.60
3.10
-1.60

7. (TCO 8) The mean hours of Internet usage by adults in the US in claimed to be 25 hours per week. A hypothesis test is performed at a level of significance of 0.05 with a P-value of 0.08. Choose the best interpretation of the hypothesis test. (Points : 6)
Reject the null hypothesis; there is enough evidence to reject the claim that the mean of hours Internet usage by adults in the US is 25 hours per week.
Reject the null hypothesis; there is enough evidence to support the claim that the mean hours Internet usage by adults in the US is 25 hours per week.
Fail to reject the null hypothesis; there is not enough evidence to reject the claim that the mean hours of Internet usage by adults in the US is 25 hours per week.
Fail to reject the null hypothesis; there is not enough evidence to support the claim that the mean hours of Internet usage by adults in the US is 25 hours per week.


8. (TCO 8) A result of an entry level exam reveals that 22% of students fail that exam.
In a hypothesis test conducted at a level of significance of 2%, a P-value of 0.045 was obtained. Choose the best interpretation of the hypothesis test. (Points : 6)
Fail to reject the null hypothesis; there is not enough evidence to reject the claim that 22% of students fail the entry level exam.
Fail to reject the null hypothesis; there is not enough evidence to support the claim that 22% of students fail the entry level exam.
Reject the null hypothesis; there is enough evidence to reject the claim that 22% of students fail the entry level exam.
Reject the null hypothesis; there is enough evidence to support the claim that 22% of students fail the entry level exam.

9. (TCO 2) A bank is going to choose between two systems A and B which helps in measuring customers waiting time. During the trial period, both systems showed an average waiting time of 10 minutes. Type A showed a standard deviation of 2 minutes while type B showed a standard deviation of 4 minutes. Which of the two systems the bank should choose? (Points : 6)
System A because in shows more consistency in measuring the average waiting time.
System B because in shows more consistency in measuring the average waiting time.
Either because their mean waiting time is the same in both systems.
Neither because the given information is not enough to make a decision
10. (TCO 4) A jar contains balls of four different colors; red, blue, yellow and green. The total balls are divides as 45% red, 35% blue, 15% yellow, and 5% green. If you are to select one ball at random. Find the expected value of your winning amount if the payments are set to be $5, $15, $25, $60 for red, blue, yellow and green ball respectively.
Winning amount
5
15
25
60
Probability
45%
35%
15%
5%
(Points : 6)
The expected winning amount is $28.50
The expected winning amount is $14.25
The expected winning amount is $25.50
The expected winning amount is $11.25

11. (TCO 3) The grades of 20 students are listed in the stem and leaf diagram below. What is the probability of randomly selected student to have a grade more than or equal to 60 and less than or equal to 80.
4 | 4
5 | 6 8
6 | 5 7 9
7 | 1 5 7 8 8 9
8 | 0 2 5 7 8 8 9
9 | 7
 (Points : 6)
0.65
0.50
0.45
-0.55

12. (TCO 1) A researcher is considering using 90% confidence interval for his research project instead of 95%. What happens to the required sample size if the confidence level is decreased from 95% to 90% and the same error margin is allowed in each case? (Points : 6)
The sample size remains unchanged
The sample size needs to increase
The sample size needs to decrease
Not enough information is provided to draw a conclusion regarding the sample size in this case.
13. (TCO 6) Horse race time is found to be normally distributed with a mean value of 10 minutes and a standard deviation of 2 minutes. Horses whose race time is in the top 5% will not be eligible to participate in a second round. What is the lowers race time that makes a horse losses his eligibility to participate in a second round? (Points : 6)
13.29
12
6.71
15.29
14. (TCO 5) A class containing 20 students 8 of them are females. In how many ways can we select a group of 5 male students?(Points : 6)
56
792
6720
95040
15. (TCO 6) Research shows that the life time of Everlast automobile tires is normally distributed with a mean value of 60,000 miles and a standard deviation of 5,000 miles. What is the probability of having a tire that lasts more than 67,000 miles? (Points : 6)
0.9192
0.0808
1.40
0.0793

16. (TCO 10) A research shows that employee salaries at company XYX, in thousands of dollars, are given by the equation y-hat= 48.5 + 2.2 a + 1.5 b where ‘a’ is the years of experience, and ‘b’ is the education level in years. In thousands of dollars, predict the salary for an employee with 10 years experience and 14 years education level. (Points : 6)
52.2
72.5
70.5
91.5
17. (TCO 9) Describe the correlation in this graph.

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