A strength training program was administered to a population of marine recruits. The change in number of push-ups completed between the beginning and end of the program was approximately normally distributed with a mean improvement of 7.2 with a standard deviation of 2.5. In a sample of 25 recruits, the mean improvement is 8 push-ups.

What is n?

What is

What is the standard deviation of the sample means (x)x ?

What is x?

What is the probability of a sample mean improvement of more than 8 push-ups? Round your answer to 3 decimal places.

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