Question

9. Using the values that you found in numbers 1 and 2, perform the following hypothesis test. At a 10% significance level, test the claim that the women’s mean completion time is greater than ___________ (the men’s mean completion time).

1. Use the samples to find the mean completion time of the for the
   1. male runners- 29.91
   2. female runners- 31.57
2. Use the samples to find the sample standard deviation of the completion times for the
   1. male runners- .66
   2. female runners- 1.17

Sample sizes:

male: 32

female: 35

1. Ho: _________________   Ha: __________________ Label the claim.
2. What type of test will you use? (Z-Test, T-test, or 1-ProZTest) ____________________
3. Where is the rejection region? (Left-tailed, Right-tailed, Two-tailed test) _____________
4. Find the critical value(s). α = 0.10 ________________
5. What is the value of the standardized test statistic? _________________
6. What is your p-value? __________________
7. What is your decision? (Reject Ho or Fail to Reject Ho) _________________
8. Write your conclusion.
   There ____________ (is/is not) enough evidence to ______________ (support/reject) the claim that _________________.

Answer 1

There is enough evidence to support the claim that the women’s mean completion time is greater than the men’s mean completion time.