A) what is the probability that the mean price for a sample of

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The mean preparation fee H&R Block charged retail customers in 2012 was $183. Use this price as the population means and assume the population standard deviation of preparation fees is $50.

a)      What is the probability that the mean price for a sample of 30 H&R Block retail customers is within $8 if the population mean?

 

b)      What is the probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean?

 

 

c)      What is the probability that the mean price for a sample of 100 H&R Block retail customers is within $8 of the population mean?

 

d)     Which, if any, of the sample sizes in parts a, b,and c would you recommend to have at least a .95 probability that the sample mean is within $8 of the population mean?