The mean preparation fee H&R Block charged retail customers last year was $183 ( TiJe Wall Street]o11n1al, March 7, 2012). Use this price as the population mean 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 of 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?

A. The salaries of pharmacy techs are normally distributed  with a mean of $33,000 and a standard deviation of $4,000.  If a pharmacy tech is selected at random, what is the probability they make more than $38,000?  The answer should be typed as a decimal with 4 decimal places.    B. The salaries of pharmacy techs are normally distributed with a mean of $33,000 and a standard deviation of $4,000. What is the minimum salary to be considered the top 6%?  Round final answer to the nearest whole number.    C. The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115.  The number of shoppers is normally distributed. For a random day, what is the probability that there are between 250 and 450 shoppers at the grocery store?  The answer should be typed as a decimal with 4 decimal places.

1.Calculate the probability of the height being less than 300, if the distribution of height was normal. Use the mean and standard deviations  2.Generate a graph to describe the distribution of height and insert it below. Would you think that the assumption that height was normal is accurate? Why or why not?   Are speed and height associated? Why or why not? Generate a graph or table that supports.

The mean salary offered to students who are graduating from Coastal State University this year is $ 24,215 , with a standard deviation of $ 3678 . A random sample of 85 Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these 85 students is $ 24,500 or less?