In: Math
Answer the questions below using the appropriate statistical technique. For questions involving the use of hypothesis testing, you must:
1. State the null and research hypotheses
2. Provide the Z(critical), T(critical), or χ 2 (critical) score corresponding to the α threshold for your test
3. Provide your test statistic
4. Provide your decision about statistical significance
An advantage that often comes with a basic knowledge of statistics is a change in salary. To see whether this was the case for Tulane University graduates, you took a random sample of 57 students who completed a statistics class and asked about their starting salaries (in thousands) after graduation. The sample had a mean of 53.3 with a standard deviation of 3.72 (i.e., x = 53.3 and s = 3.72). A call to the Office of the Registrar indicates that the average starting salary value for all Tulane students is 47.1. Do students who take statistics courses earn an equal salary compared to Tulane students generally? Use α = 0.001.