(Solution Library) A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the
Question: A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. Analysis of the mean salaries of the females and males in the sample is given below. Suppose the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.
| Hypothesized Difference | 0 |
| Level of Significance | 0.05 |
| Population 1 Sample | |
| Sample Size | 18 |
| Sample Mean | 48266.7 |
| Sample Standard Deviation | 13577.63 |
| Population 2 Sample | |
| Sample Size | 12 |
| Sample Mean | 55000 |
| Sample Standard Deviation | 11741.29 |
| Difference in Sample Means | -6733.3 |
| t -Test Statistic | -1.40193 |
| Lower-Tail Test | |
| Lower Critical Value | -1.70113 |
| p -Value | 0.085962 |
- According to the test run, state an appropriate alternative hypothesis.
- From the analysis in Table 10-2, what is the correct test statistic? Explain how you obtain your answer.
- What is the 95% confidence interval estimate for the difference between two means? Show how you obtain your answer.
- What conclusion do you reach for this test? Explain how you obtain your answer.
Deliverable: Word Document 