Name: Assignment 17: Testing Claims on a Single Mean A local taxi company advertises that it can do the trip from Tufts to Logan in less than 14 minutes. In a random sample of 49 trips, the mean trip length is 13.8 minutes, with a standard deviation of 1 minute. Use the critical-value method with a significance level of a = .05 to test the hypothesis that the mean trip length for all such trips is less than 14 minutes. 1. What are the hypotheses? 2. What is the sampling distribution? That is, which chart will you need to use to find the critical values and p-value? 3. What is the test statistic? Simplify it without using a calculator. 4. Find the critical value(s). If the exact degrees of freedom are not on the chart, use the closest row. 5. Draw a picture and state your conclusion. 6. If you used a significance level of a = .1 instead, which of the above steps would change? Draw the picture for this scenario. 7. If you used the p-value method instead, what is the p-value