Assume the population of human body temperatures has a mean of 98.6 degrees Fahrenheit as is commonly believed. Assume the standard deviation is .62 degrees Fahrenheit. Find the probability that the mean of a sample of 106 randomly selected humans is lower than 98.5 degrees Fahrenheit. Write your answer using a decimal. Be sure to use the appropriate rounding rules.

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raphealnwobi raphealnwobi · Answer 1 · 2022-07-11T18:45:27+02:00

The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%

An equation is an expression that shows the relationship between two or more numbers and variables.

Z score is given as:

z = (raw score - mean) ÷ (standard deviation/√sample size)

Given mean of 98.6°F, standard deviation is 0.62°F, sample size = 106

For x < 98.5:

z = (98.5 - 98.6) ÷ (0.62÷√106) = -1.66

P(z < -1.66) = 0.0485

The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%

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