The average number of pushups a United States Marine does daily is 300, with a standard deviation of 50. (c) If 36 Marines are selected at random, what is the sampling distribution of their mean weight x? (d) Thirty-six Marines are selected at random. What is the probability that their mean number of push-ups is greater than 310? (e) Thirty-six Marines are selected at random. What is the probability that their mean number of push-ups is between 290 and 310?
The average number of pushups a United States Marine does daily is 300, with a standard deviation of 50.
(c) If 36 Marines are selected at random, what is the sampling distribution of their mean weight x?
(d) Thirty-six Marines are selected at random. What is the probability that their mean number of push-ups is greater than 310?
(e) Thirty-six Marines are selected at random. What is the probability that their mean number of push-ups is between 290 and 310?
(f) If 100 Marines are selected at random, what is the sampling distribution of their mean weight x?
(g) One hundred Marines are selected at random. What is the probability that their mean number of push-ups is greater than 310?
(h) One hundred Marines are selected at random. What is the probability that their mean number of push-ups is between 290 and 310?
(j) Briefly explain what a z-score is and find the z-score for a Marine who does 310 push-ups.
(k) Briefly explain how you could select a (good) sample using the cluster process as well as the stratified process.
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