MGMT 650 Quiz 8 Answers (2020) UMUC.docx

MGMT 650 Quiz 8 Answers (2020)
UMUC
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MGMT 650 Quiz 8 Answers (2020) UMUC
1. The director for Weight Watchers International wants to determine if the changes in their program results
in better weight loss. She selected 25 Weight Watcher members at random and compared their weight 6
months later to weight at the start of the program. The results are in this excel file:
2. Refer to the Weight Watchers file here: Weight Watchers.xlsx
Use Excel to test. For each paired difference, compute After – Before. In Data Analysis, t-Test: Paired
Two Sample for means, select the After data for Variable 1 Range. Note that the critical value output by
Data Analysis for this test is always positive. In this problem, the sign of the critical value is negative
corresponding to a 1-tailed test with lower reject region and negative lower critical value.
What is the t-statistic (t-score)?
3. Refer to the Weight Watchers file here:
Weight Watchers.xlsx
Use Excel to test. For each paired difference, compute After – Before. In Data Analysis, t-Test: Paired
Two Sample for means, select the After data for Variable 1 Range. Note that the critical value output by
Data Analysis for this test is always positive. In this problem, the sign of the critical value is negative
corresponding to a 1-tailed test with lower reject region and negative lower critical value.
What is the critical t-value?
4. Refer to the Weight Watchers file here:
Weight Watchers.xlsx
Use Excel to test. For each paired difference, compute After – Before. In Data Analysis, t-Test: Paired
Two Sample for means, select the After data for Variable 1 Range. Note that the critical value output by
Data Analysis for this test is always positive. In this problem, the sign of the critical value is negative
corresponding to a 1-tailed test with lower reject region and negative lower critical value.
What is your conclusion?
5. A new drug is created to help people with depression. When testing the drug, what are the null and
alternative hypotheses?
6. Match the null hypothesis (H0) to the correct alternative hypothesis (H1):
7. H0: Prototype design has at most 37 mpg vs. HA: Prototype design has greater than 37 mpg. If H0 is
rejected, the action will be move the prototype design to production.
What kind of test is required?
8. Match up the following:
9. For a test of the population proportion, what is the distribution of the test statistic?
10. What is the test statistic for sample of size 25, mean 13.97, and standard deviation 1.48? Enter the test
statistic with 2 decimal places.
11. sample of size 20 yields a sample mean of 23.5 and a sample standard deviation of 4.3.
Test H0: Mean ≥ 25 at α = 0.10. HA: Mean < 25. This is a one-tailed test with lower reject region bounded
by a negative critical value.
12. The results of sampling independent populations:
sample 1 from population 1
• mean 80
• population variance 3
• sample size 25
sample 2 from population 2

• mean 81
• population variance 2
• sample size 50
Note that the population variances are known. Test H0: (population1 mean - population2 mean) ≤ 0 at α =
0.05. HA: (population1 mean - population2 mean) > 0. This is a one-tailed test with upper reject region
and positive critical value.
13. The results of sampling independent populations:
sample 1 from population 1
• mean 1000
• sample standard deviation 400
• sample size 50
sample 2 from population 2
• mean 1250
• sample standard deviation 500
• sample size 75
Test the H0: population1 mean = population2 mean at α = 0.01. HA: population1 mean ≠ population2
mean. This is a two-tailed test with both a negative lower critical value and a positive upper critical value.
Separate variances is assumed.