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The high temperature in Chicago for the month of August is normally distributed with a mean...

The high temperature in Chicago for the month of August is normally distributed with a mean of 80 degrees  F and a standard deviation of 8 degrees F. What is the probability that a random sample of 16 days in August will have an average high temperature below 75 degrees ?

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that ,

mean = = 80

standard deviation = = 8

= / n = 8 / 16 = 2

P( < 75) = P(( - ) / < (75 - 80) / 2)

= P(z < -2.5)

= 0.0062

Probability = 0.0062

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