MATH 130 Week 6 Practice Test 4

A manager wants to see if it is worth going back for an MBA degree. They randomly sample 18 managers' salaries before and after undertaking a MBA degree and record their salaries in thousands of dollars. Assume Salaries are normally distributed. Test the claim that the MBA degree, on average, increases a manager’s salary. Use a 10% level of significance. t-Test: Paired Two Sample for Means New Salary Old Salary Mean 59.82778 52.66667 Variance 175.5551 112.7012 Observations 18 18 Pearson Correlation 0.7464 Hypothesized Mean Difference 0 df 17 t Stat 3.4340 P(T=t) one-tail 0.0016 t Critical one-tail 1.3334 P(T=t) two-tail 0.0033 t Critical two-tail 1.7396 The hypotheses for this problem are: H0: μD = 0 H1: μD 0 What is the correct p-value?  A. -3.4340  B. -1.3334  C. 0.0033  D. 0.0016  E. 0.7464 Answer Key:D Feedback: No calculations are needed. The answer is given to you in the output. P(T=t) one-tail 0.0016 Question 2 of 20 0.0/ 1.0 Points An adviser is testing out a new online learning module for a placement test. They wish to test the claim that on average the new online learning module increased placement scores at a significance level of α = 0.05. For the context of this problem, μD=μnew–μold where the first data set represents the new test scores and the second data set represents old test scores. Assume the population is normally distributed.