The mean per capita consumption of milk per year is 131 liters with a variance of 841. If a sample of 132 people is randomly selected, what is the probability that the sample mean would be less than 133.5 liters? Round your answer to four decimal places.

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Willow Kirby

11 December, 10:53

The mean per capita consumption of milk per year is 131 liters with a variance of 841. If a sample of 132 people is randomly selected, what is the probability that the sample mean would be less than 133.5 liters? Round your answer to four decimal places.

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Raul Serrano · 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%