3/3 94% Exercise 2 Step 1. Test Set-up Tony V. owns a house painting business in Seattle. He estimates that it takes his crew three-and-a-half days to paint the interior of a typical house. He has no estimate of the population standard deviation, a. He is testing a new paint that is supposed to dry faster than the paint he has been using for over thirty years. He estimates that the average time to paint a house is 3.5 days, the new paint is just as good as the old paint and costs the same. Research Question: Does the new paint allow him to complete a house painting job faster than the paint he has been using? He takes a random sample of 30 homes and paints them with the new paint. Here are the results: Number of Days to Paint House Assignment04.pdf Page 2 of 3 Assignment 04: Chapters 13 & 14 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 The population mean, u, is presumed to be 3.5 days and the population standard deviation, a, is unknown. Using Microsoft Excel, find the sample mean, X, and sample standard deviation, s, and complete the appropriate significance test. What test statistic should you use and why? (There are three basic one-sample hypothesis tests: 1) z-test for the population mean, 2) z-test for the population proportion, and 3) t-test for the population mean.) Based on the research question is this a left-tailed, two-tailed, or right-tailed test?