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Sample Midterm 2 with Answers - Statistical Methods | STAT 2000, Exams of Data Analysis & Statistical Methods

Utah State University (USU)Data Analysis & Statistical Methods

Material Type: Exam; Class: Statistical Methods; Subject: Statistics; University: Utah State University; Term: Spring 2000;

Typology: Exams

Pre 2010

Uploaded on 07/30/2009

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koofers-user-0bm 🇺🇸

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Stat 2000 International – Sample Midterm 2 - Answers
1. Correct answer: d. discrete random variable
2. Correct answer: b. 0.62
3. Correct answer: c. 4
4. Correct answer: b. $145
5. Correct answer: a. 0.923
6. Correct answer: b. About 88.0F
7. Correct answer: b. to become more peaked
8. Correct answer: d. The sampling distribution of the proportion of "heads" in 50 flips of a fair
coin would be skewed towards the higher values.
9. Correct answer: b. 68
10. Correct answer: c. $268.33
11. Correct answer: c. describe the sampling distribution of sample proportions
12. Correct answer: d. 52% to 55%
13. Correct answer: d. We can be 95% confident that between 78% and 84% of all adults say they
always wear seatbelts in the front seat of a car.
14. Correct answer: c. 22.1 to 23.9 [explanation: the most narrow interval]
15. Correct answer: b. We can be 90% confident that the true average body temperature of healthy
adult Americans is between 98.17 and 98.44 degrees Fahrenheit.
16. Answer: P(at most 5) = .60
17. Answer: 56 expected blacks; SD= 7.178
18. Answer: They are the same: both 0.2.
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Stat 2000 International – Sample Midterm 2 - Answers

1. Correct answer: d. discrete random variable 2. Correct answer: b. 0. 3. Correct answer: c. 4 4. Correct answer: b. $ 5. Correct answer: a. 0. 6. Correct answer: b. About 88.0F 7. Correct answer: b. to become more peaked 8. Correct answer: d. The sampling distribution of the proportion of "heads" in 50 flips of a fair coin would be skewed towards the higher values. 9. Correct answer: b. 68 10. Correct answer: c. $268. 11. Correct answer: c. describe the sampling distribution of sample proportions 12. Correct answer: d. 52% to 55% 13. Correct answer: d. We can be 95% confident that between 78% and 84% of all adults say they always wear seatbelts in the front seat of a car. 14. Correct answer: c. 22.1 to 23.9 [explanation: the most narrow interval] 15. Correct answer: b. We can be 90% confident that the true average body temperature of healthy adult Americans is between 98.17 and 98.44 degrees Fahrenheit. 16. Answer: P(at most 5) =. 17. Answer: 56 expected blacks; SD= 7. 18. Answer: They are the same: both 0.2.

19. Answer:

P( 25 < s < 35) = P( ( n -1)25^2/30^2 < ( n -1)s^2/30^2 < ( n -1)35^2/30^2) = P(9225/900 < Chi-squared on n -1 < 9*1225/900) = P(2.25 < Chi-squared on 9 df < 12.25) = P(Chi-squared on 9 df > 2.25) - P(Chi-squared on 9 df > 12.25) = 0.9869 - 0.1996 = 0.

20. Answer: n = 20 and p = 0. 21. Answer: 0.9125 or between 91st^ and 92nd^ percentile. 22. Answer: 0.

For a height of 62, the z-score is (62-65)/2.7 = -1.11. In the probability calculator, type "- 1.11" in the z-score box and click on "Left." The proportion of women with heights lower than 62 is 0.1335.

For a height of 68, the z-score is (68-65)/2.7 = 1.11. In the probability calculator, type "1.11" in the z-score box and click on "Left." The proportion of women with heights lower than 68 is 0.8665.

The proportion of women with heights lower than 68 is 0.8665, including those with heights below 62. And, the proportion of women with heights lower than 62 is 0.1335. Therefore, the proportion of women with heights between 62 and 68 is 0.8665 - 0.1335 = 0.733.

23. Answer : 0.

In the binomial calculator, specify: n = 50 p = 0. Prob X is "at least" "30" The binomial calculator tells you that there is a 0.1013 chance that at least 30 of the 50 participants prefer Brand A.

24. Answer: 0

[explanation: df = (# rows - 1)(# columns - 1) = (3-1)(2-1) = 2. ]

chance = 0