Math 302 Week 6 Test 1 Questions And Answer

New LMOld LM57.155.858.351.783.676.650.547.551.548.620.615.5An 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 = 0.05. For the context of this problem, D=new-old 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.H0: D = 0H1: D < 0You obtain the following paired sample of 19 students that took the placement test before and after the learning module:New LMOld LM35.229.946.75423.52148.858.553.142.676.661.229.626.314.511.443.756.35746.166.172.938.143.244.451.1Find the p-value. Round answer to 4 decimal places.p-value = 0.1987A manager wants to see if it worth going back for a 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 managers salary. Use a 10% level of significance.t-Test: Paired Two Sample for MeansNew SalaryOld SalaryMean61.87856.999Variance177.5551115.8012Observations1818Pearson Correlation0.7464Hypothesized Mean Difference0df17t Stat2.9870P(T p2In this scenario, what is the test statistic? (Round to 4 decimal places) z = 0.6766State the null and alternative hypotheses. H0: