find probability that mean of randomly selected sample

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The Old Farmer’s Almanac reports that the average personuses 123 gallons of water daily. If the standard deviation is 21gallons, find the probability that the mean of a randomly selected sample of 15 people will be between 120 and 126 gallons. Assume the variable is normally distributed.

The average time it takes a group of adults to complete acertain achievement test is 46.2 minutes. The standard deviation is8 minutes. Assume the variable is normally distributed.

a. Find the probability that a randomly selected adult will complete the test in less than 43 minutes.

b. Find the probability that, if 50 randomly selected adultstake the test, the mean time it takes the group to complete the test will be less than 43 minutes.

Reference no: EM13331712

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