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In school, student records suggest that the population of students spends an average of 5.5 hours...

In school, student records suggest that the population of students spends an average of 5.5 hours per week playing organized sports. The population's standard deviation is 2.2 hours per week. The hours follow normal distribution.

a. What is the chance RAC will find a sample mean between 5 and 6 hours?

b.Calculate the probability that the sample mean will be greater than 5.3 and 5.7 hours.

c. How strange would it be to obtain a sample mean greater than 6.5 hours?

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Answer #1

For known population standard deviation σ value we use z distribution

Z= x-u /(σ n)

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