Current Attempt in Progress Use the tdistribution and the sample results to complete the test of the hypotheses. Use a 5 % signicance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal. Test H0 3M = 15 vs Ha : M > 15 usingthe sample resultsic' = 17.2.5 = 6.4,with n = 40. Part 1 (a) Give the test statistic and the p-value. Round your answer for the test statistic to two decimal places and your answer for the pvalue to three decimal places. 9 of 16 - / 10 E . . . two decimal places. point estimate = margin of error = The 90% confidence interval is to9 of 16 - / 10 E . . . Use the t-distribution to find a confidence interval for a mean u given the relevant sample results. Give the best point estimate for M, the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed. A 90% confidence interval for M using the sample results x = 144.2, s = 49.6, and n = 50 Round your answer for the point estimate to one decimal place, and your answers for the margin of error and the confidence interval to two decimal places. point estimate = margin of error =Current Attempt in Progress A data collection method is described to investigate a difference in means. Determine which data analysis method is more appropriate: paired data difference in means or difference in means with two separate groups. In a study to determine whether the color red increases how attractive men nd women, one group of men rate the attractiveness of a woman after seeing her picture on a red background and another group of men rate the same woman after seeing her picture on a white background. 0 Paired data difference in means 0 Difference in means with two separate groups 110f16 I "'N. _\\ N .0. O 00 O O 0 O 0 1O 12 14 16 18 BMGam Figure 1 Body mass gain (in grams) for mice with a bright night light Is it appropriate to use a tdistribution in this situation? 0 Yes O No Current Attempt in Progress What sample size is needed to give a margin of error within i 2 in estimating a population mean with 99% condence, assuming a previous sample had S = 3.0. Round your answer up to the nearest integer. sample size = \fCurrent Attempt in Progress Bright Light at Night Makes Even Fatter Mice A study was conducted in which mice who had a light on at night (rather than complete darkness) ate most of their calories when they should have been resting. These mice gained a signicant amount of weight, despite eating the same number of calories as mice kept in total darkness. The time of eating seemed to have a signicant effect. A group of mice had bright light on all the time (day and night). There were 9 mice in the group with bright light at night and they gained an average of 11.0 g with a standard deviation of 2.6. The data are shown in Figure 1. 0000 00 O 0 10 12 14 16 18 BMGmn GU re 1 Body mass gain (in grams) for mice with a bright night light 12 of 16 A data collection method is described to investigate a difference in means. Determine which data analysis method is more appropriate: paired data difference in means or difference in means with two separate groups. To study the effect of sitting with a laptop computer on one's lap on scrotal temperature, 29 men have their scrotal temperature tested before and then after sitting with a laptop for onehoun O Paired data difference in means 0 Difference in means with two separate groups