Step 1. Test Set-up Tony V. owns a house painting business in Seattle. Based in his data, that it takes his crew three-and-a-half days to paint the interior of a typical house (u = 3.5). He has no estimate of the population standard deviation, 6. He is testing a new paint that is supposed to dry faster than the paint he has been using for over thirty years. The new paint is just as good as the old paint and costs the same. Research Question: Does the new paint allow Tony to complete a house painting job faster than the paint he has been using? Question 1: Sample Size Cohen's d effect size is estimated at 0.25, which is a small effect. See the table below: Cohen's d ES Thresholds Small Medium 0.5 0.2 Large 0.8 Using the Statistics Kingdom sample size calculator run an a priori statistical power calculation. Will a sample of 100 be large enough to achieve 80% statistical power. Link: https://www.statskingdom.com/sample size t z.html. Will a sample of 35 homes achieve 80% or more statistical power? Place and X in the appropriation box: Yes No Here is the sample of 35 houses Tony painted using the new paint.: Days to Paint a House 3.40 3.75 3.33 3.50 3.33 3.50 3.00 3.40 3.50 3.40 3.00 2.85 3.85 3.33 3.33 3.25 3.00 3.50 3.50 3.33 3.33 2.75 3.50 2.75 3.40 3.33 3.50 3.50 0.33 3.40 3.50 3.33 3.50 3.00 3.40 Question 2: What test statistic should you use and why? Place an X in the correct box. Provide the reason for your answer below the checklist. Check Correct Test Test z-test for the population mean, jµ t-test for the population mean, u z-test for the population proportion, a Answer: Question 3: Based on the research question is this a left-tailed, two-tailed, or right-tailed test? Place an X in the correct box. Provide the reason for your answer below the checklist. Check Correct Tails Left-tail Two-tails Test Right-tail Answer:

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