A local gym has found that each member, on average, spends 73 minutes at the gym...

A local gym has found that each member, on average, spends 73 minutes at the gym per week, with a standard deviation of 11 minutes. Assume the amount of time that members spend at the gym has a normal distribution.

a. What is the probability that a randomly selected customer spends less than 85 minutes at the gym?

b. Suppose the gym surveys a random sample of 25 members about the amount of time they spend at the gym each week. What are the expected value and standard deviation (standard error) of the sample mean of the time spent at the gym?

c. If 25 members are randomly selected, what is the probability that the average time spent at the gym exceeds 75 minutes?

Expert Solution

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orchestra answered 2 years ago

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