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- The amount of time for a rat to get through a maze has mean 1.5 minutes and variance 1.0. Consider a random sample of 100 rats, and denote the average getting through time of these 100 rats as Y. Find the value yo, such that Pr(1.5 – yo < Ý < 1.5+ yo) = 0.95. -In a survey of 200 females who recently completed high school, 70% were enrolled in college. In a survey of 180 males who recently completed high school, 65% were enrolled in college. At α=0.09, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e).You study a population and are interested in the proportionpthat has a certain characteristic. You are unaware that this proportion of the population isp=0.67. You have taken a random sample of sizen 129of the population and determined that the proportion of the sample having the characteristic isp=0.73. His sample is Sample 1 in the following table. (In the table, Sample 1 is indicated by "M1", Sample 2 by "M2", and so on). (to) Based on Sample 1, plot the confidence intervals of80%and of95%for the population proportion. Use1,282for the critical value for the confidence interval of80%, and use1960 for the critical value for the confidence interval of95%. (If necessary, you can refer to a list of formulas .) • Write the upper limit and the lower limit on the graphs to indicate each confidence interval. Write the answers with two decimal places. • For the points (and ◆), write the population proportion,0.67. 0.47 80% confidence interval 0.67 0.68 X 0.78 Ś 0.84 0.47 95% confidence…
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