10- One group of students claims that first-year students at a university must study an average of 2.5 hours a night during the school week. A skeptic suspects that they study less than that on average. A class survey found that the average study time claimed by a sample of 269 students is 137 minutes. Assume that the standard deviation of all study times is 65 minutes. The data provide convincing evidence that the average study time of all university students is less than what the student group claims (2.5 hours or 150 minutes) 18- Learning experiments on animals sometimes measure how long it takes rats to find their way through a maze. The average time is 18 seconds for a particular maze. A researcher thinks that a loud noise will make the rats complete the maze faster. It measures how long each of the 10 mice takes with a loud noise as a stimulus. The appropriate hypotheses for the significance test are one. Ho = 18; Ha: =/ 18. b. H : p = 18; Ha : >18. c. H : p < 18; Ha =18. d. Ho = 18; Ha : < 18. e. Ho x = 18; H : x< 18 19. Making conclusions A student performs a test of Ho: p = 0.75 versus Ha: p < 0.75 at the a = 0.05 significance level and gets a P-value of 0.22. The student writes: "Because the P-value is large, we accept Ho. The data provide convincing evidence that the null hypothesis is true." Explain what is wrong with this conclusion. 24. Reality TV Television networks rely heavily on ratings of TV shows when deciding whether to renew a show for another season. Suppose a network has decided that "Miniature Golf with the Stars" will only be renewed if it can be established that more than 12% of U.S. adults watch the show. A polling company asks a random sample of 2000 U.S. adults if they watch "Miniature Golf with the Stars." The network uses the data to perform a test of Ho: p = 0.12 Ha :p > 0.12 where p is the true proportion of all U.S. adults who watch the show. Describe a Type I error and a Type II error in this setting, and give a possible consequence of each