Question: For multiple choice questions and short-answer questions circle the correct answer. Show work where necessary. Each multiple choice/short answer question is worth 4 points. 1.
For multiple choice questions and short-answer questions circle the correct answer. Show work where necessary. Each multiple choice/short answer question is worth 4 points.
1. Classify the two given samples as independent or dependent.
Sample 1: Pre-training weights of 19 people
Sample 2: Post-training weights of the same 19 people
A) dependent
B) independent
2. As part of a marketing experiment, a department store regularly mailed discount coupons to 25 of its credit card holders. Their total credit card purchases over the next three months were compared to the credit card purchases over the next three months for 25 credit card holders who were not sent discount coupons. Determine whether the samples are dependent or independent.
A) dependent
B) independent
3. Classify the two given samples as independent or dependent.
Sample 1: The scores of 21 students who took the ACT
Sample 2: The scores of 21 different students who took the SAT
A) dependent B) independent
4. Find the p-value to test the claim that 1< 2. Two samples are randomly selected from each population. The sample statistics are given below. (assume equal variances if necessary)
| n1=29 | n2=16 |
| Please note there a bar line above the X, was not able to figure out how to add that here. X1=24 | Please note there a bar line above the X, was not able to figure out how to add that here. X2=2.9 |
| S1=1.9 | S2=2.5 |
5. Which test is used to compare the population means of three or more populations?
A) 2-sample t-test
B) T-test on the difference
C) ANOVA
D) X2 test
E) None of these
6. A sleep disorder specialist believes a new drug increases the number of hours of sleep patients get during the night. The specialist randomly selects 15 patients and records the number of hours of sleep each gets with and without the new drug. Write the null and alternative hypotheses that would be used to test his claim. H0 : ________ : Ha________
7. In a X2test for independence, the null hypothesis is:
a) (Micro) Ud=0
b) the variables are independent
c) the variables are dependent
d) p1= p2
e) None of these
8. A sports researcher is interested in determining if there is a relationship between the number of home team and visiting team wins and different sports. A random sample of 526 games is selected and the results are given below. Find the expected frequency for E1,2 to test the claim that the number of home team and visiting team wins are independent of the sport. Round to the nearest tenth if necessary.
| Football | Basketball | Soccer | Baseball | |
| Home Team Wins | 40 | 154 | 24 | 85 |
| Visiting Team Wins | 31 | 97 | 19 | 76 |
9. When two samples are dependent, what parameter (or parameters) is (or are) used in a hypothesis test to compare means?
a) (Micro symbol) U1 & U2
b) (Micro symbol) Ud
c) p1 and p2
d) Cannot be determined
10. One of the advances that has helped to diminish carpal tunnel syndrome is ergonomic keyboards. The ergonomic keyboards may also increase typing speed. Ten administrative assistants were chosen to type on both standard and ergonomic keyboards. The resulting typing speed follows:
| Assistant | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Standard | 70 | 68 | 54 | 56 | 58 | 64 | 62 | 51 | 64 | 53 |
| Ergonomic | 69 | 80 | 60 | 71 | 73 | 64 | 63 | 70 | 63 | 74 |
Assuming the populations are normal, write the null and alternative hypotheses you would use to test if the evidence suggests that the ergonomic keyboards increase typing speed. H0 : ________ : Ha________
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