Show will your work. Indicate dearly the methods you use, because you will be gr

Question

Show will your work. Indicate dearly the methods you use, because you will be graded on the correctness of war methods as well as on the accuracy and completeness of your results and explanations. A study of college freshmen's study habits found that the time (in hours) that freshmen use to stud each week follows a distribution with a mean of 7.2 hours and a standard deviation of 53 hours. Can you calculate the probability that a randomly chosen freshman studies more than 9 hours? If so, do it. If not explain why not. What is the shape of the sampling distribution of the mean for samples of 55 randomly selected freshmen? Justify your answer. What are the mean and standard deviation for the mean number of hours spent studying by an SRS of 55 freshmen? Find the probability that the average number of hours spent studying by an SRS of 55 students is greater than 9 hours. Show your work.

Explanation / Answer

Hi, If you like my answer, please rate my answer first and according to my answer...that way only I can earn points. Thanks a)Assuming normal distribution with mean = 7.2, and standard deviation = 5.3 hours P (X>9) = P(Z> (9-7.2)/5.3) = P(Z>0.34) = 0.36693 b) Since the population is assumed to be normal and n>30, it is also normal distribution. c) The mean = 7.2 Standard Deviation = 5.3 / (55)^0.5 = 0.715 d) P(Xmean>9) = P(Z>(9-7.2)/0.715) = P(Z>2.52) =0.00587

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