A researcher takes sample temperatures in Fahrenheit of 18 days from Detroit (Group 1] and 22 days from Salt Lake City [Group 2}. Test the claim that the mean temperature in Detroit is less than the mean temperature in Salt Lake City. Use a significance level of or = 0.01. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. Round answers to 4 decimal places. Detroit Salt Lake City 59.1 77.9 61.2 79.9 64.2 71.4 80.9 68.2 53.8 63.4 64.6 83.8 57.3 84.1 67.4 60.9 63.6 76 74.6 77.5 59.1 72.7 79.9 71.4 67.3 76.7 76.1 81.3 65.8 81.6 66.8 66.3 57.3 67.6 61.2 80.8 68.8 83.4 76.7 79.6 What are the correct hypotheses? Note this may View better in full screen mode. Select the correct symbols for each of the 6 spaces. HG: | Select an answer v H \"P v H Select an answer vl H1: | Select an answer v H \"P v H Select an answer V| Based on the hypotheses, find the foLLowing: Test Statistic = p-value = The p-value is Select an answer v to alpha. The cot cotton to to . The correct summary would be: I Select an answer v I the claim that the mean temperature in Detroit is less than the mean temperature in SaLt Lake City