The mean per capita consumption of milk per year is 138 liters with a standard deviation of 28 liters. if a sample of 60 people is randomly selected, what is the probability that the sample mean would be less than 132.25 liters? round your answer to four decimal places.

Question

Mathematics

Lincoln

29 January, 03:02

The mean per capita consumption of milk per year is 138 liters with a standard deviation of 28 liters. if a sample of 60 people is randomly selected, what is the probability that the sample mean would be less than 132.25 liters? round your answer to four decimal places.

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Nasir Hardin · Answer 1

The probability that the the sample mean would be less than x=132.25 will be calculated as follows:

z = (x-σ) / μ

μ - mean

σ - standard deviation

z = (132.25-138) / 28=-0.2054

thus:

P (X≤x) = 0.4207=42.07%