Step 1. Test Set-up The current electric Tesla Model S can travel an average of 300 miles on a single charge, μ equals 300 miles, with a presumed population standard deviation, σ, of 40 miles. You are a researcher for the team that is developing a prototype for the next Tesla Model S. Your objective is to produce a vehicle that will be able to be driven significantly more than 300 miles on a single charge. You have conducted a test of your most promising prototype; 100 test drives were made. Here are the results: What test statistic should you use? Step 2. Select the Level of Significance, α A 5 percent significance level has been selected. Step 3. State the null hypothesis (H0) and alternate hypothesis (H1) H0: H1: Follow the examples shown in Clear-Sighted Statistics. Step 4. Compose the decision rule using critical values not p-values. Follow the examples shown in Clear-Sighted Statistics. Step 5. Calculate the Value of the Test Statistic, p-value, Effect Size, and Power Step 6: Decide and Report Your report must be frames in the context of this problem. Consider the issue of practical significance in your report. Merely stating that you failed to reject the Null Hypothesis or you rejected the Null Hypothesis is not sufficient. 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, σ. 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. The question Tony wants to answer is: 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 25 homes and paints them with the new paint. Here are the results: The population mean, μ, is presumed to be 3.5 days and the population standard deviation, σ, is unknown. Using Microsoft Excel, find the sample mean, X̅, and sample standard deviation, s, and complete the appropriate significance test. What test statistic should you use? Step 2. Select the Level of Significance, α The level of significance is set at 5 percent. Step 3. State the null hypothesis (H0) and alternate hypothesis (H1) H0: H1: Follow the examples shown in Clear-Sighted Statistics. Step 4. Compose the decision rule using critical values not p-values. Follow the examples shown in Clear-Sighted Statistics. Step 5. Calculate the Value of the Test Statistic, p-value, Effect Size, and Power Step 6: Decide and Report Your report must be frames in the context of this problem. Consider the issue of practical significance in your report. Merely stating that you failed to reject the Null Hypothesis or you rejected the Null Hypothesis is not sufficient. Exercise 3 Step 1. Test Set-up The Dean of Students at Nunya Business College claims that by the time of graduation, 95 percent of graduating seniors have accepted offers for full-time salaried jobs in their area of study. The leaders of student government think this is an exaggeration. They take a random sample of 81 students. Seventy-three of them had accepted a job just before graduation. You have been asked to determine whether the student survey provides sufficient evidence that fewer than 95 percent of graduating seniors have accepted jobs prior to graduating. What test statistic should you use? Step 2. Select the Level of Significance, α You have decided to use a 5% significance level. Step 3. State the null hypothesis (H0) and alternate hypothesis (H1) H0: H1: Follow the examples shown in Clear-Sighted Statistics. Step 4. Compose the decision rule using critical values not p-values. Follow the examples shown in Clear-Sighted Statistics. Step 5. Calculate the Value of the Test Statistic, p-value, Effect Size, and Power Step 6: Decide and Report Your report must be frames in the context of this problem. Consider the issue of practical significance in your report. Merely stating that you failed to reject the Null Hypothesis or you rejected the Null Hypothesis is not sufficient.