An online math tutor service would like to claim that the average time spent taking a standardized test after students go through tutoring is less than the average time spent before going through tutoring. A simple random sample of students takes a pre-test, then goes through tutoring and takes a post-test. Results of the sample are shown below. Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail Before After 82.333 74.944 110.118 199.820 18 18 0.727 0 17 -3.227 0.002 -1.740 0.005 -2.110 99% What are the population parameters? Pick Is the two-sample hypothesis test a paired t-test or an unpaired t-test? Pick What is the level of significance? Ex: 0.12 P(T<=t) two-tail t Critical two-tail Confidence Level What is the null hypothesis? Ho: Mafter Pick before What is the alternative hypothesis? Ha: Pafter Pick before Should Ho be rejected or does Ho fail to be rejected? Pick What conclusion can be drawn from the data? Pick ✓evidence exists to support the claim that the mean time spent taking a test after tutoring is less than the mean time spent taking a test before tutoring.

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