# Week 6 tests.docx - Question 1 of 20 0.0 1.0 Points An...

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Question 1 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, μ D new –μ 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. H 0 : μ D = 0 H 1 : μ D < 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 58.1 55.8 58.3 53.7 83.6 76.6 49.5 47.5 51.8 48.9 20.6 11.4 35.2 30.6 46.7 54 22.5 21 47.7 58.5 51.5 42.6 76.6 61.2 29.6 26.8 14.5 12.5 43.7 56.3 57 43.1 66.1 72.8 38.1 42.2 42.4 51.3
Choose the correct decision and summary and state the p-value. Feedback:
Copy and paste the data into Excel. Use the Data Analysis Toolpak in Excel. Data - > Data Analysis -> scroll to where is says t:Test: Paired Two Samples for Means -> OK Variable 1 Range: is New LM
Variable 2 Range: is Old LM The Hypothesized Mean Difference is 0 and make sure you click Labels in the first row and click OK. You will get an output and this is the p-value you are looking for.
Question 2 of 20 0.0/ 1.0 Points A researcher is testing reaction times between the dominant and non-dominant hand. They randomly start with each hand for 20 subjects and their reaction times in milliseconds are recorded. Test to see if the reaction time is faster for the dominant hand using a 5% level of significance. The hypotheses are: H 0 : μ D = 0 H 1 : μ D > 0 t-Test: Paired Two Sample for Means Non- Dominant Dominant Mean 63.33 56.28 Variance 218.96431 58 128.75221 05 Observations 20 20 Pearson Correlation 0.9067 Hypothesized Mean Difference 0 df 19 t Stat 4.7951 P(T<=t) one-tail 0.0001 t Critical one-tail 1.7291 P(T<=t) two-tail 0.0001 t Critical two-tail 2.0930 What is the correct decision?