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Week 6 Test 1 - American Public University MATH 302 | COMPLETED

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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. Fo ...

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. H0: μD = 0 H1: μD < 0 You obtain the following paired sample of 19 students that took the placement test before and after the learning module: New LM Old LM 35.2 29.9 46.7 54 23.5 21 48.8 58.5 53.1 42.6 76.6 61.2 29.6 26.3 14.5 11.4 43.7 56.3 57 46.1 66.1 72.9 38.1 43.2 44.4 51.1 Find the p-value. Round answer to 4 decimal places. p-value = 0.1987 A 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 manager’s salary. Use a 10% level of significance. t-Test: Paired Two Sample for Means New Salary Old Salary Mean 61.878 56.999 Variance 177.5551 115.8012 Observations 18 18 Pearson Correlation 0.7464 Hypothesized Mean Difference 0 df 17 t Stat 2.9870 P(T<=t) one-tail 0.0024 t Critical one-tail 1.3334 P(T<=t) two-tail 0.0048 t Critical two-tail 1.7396 The hypotheses for this problem are: H0: μD = 0 H1: μD > 0 What is the correct test statistic? 2.9870 A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The study was performed at the end of the school year and asked each if they had used steroids at any point in the last school year. Of the upperclassmen, 25 claimed to have used steroids in the last school year, and of the underclassmen, 19 claimed to have used steroids. Run a 95% confidence interval to test for a significant difference in the proportions of students who used steroids. Enter the confidence interval

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