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In: Statistics and Probability

# In a recent survey of high school students, it was found that the amount of time...

In a recent survey of high school students, it was found that the amount of time spent on reading books per week was normally distributed with a mean of 32 minutes. Assume the distribution of weekly reading time follows the normal distribution with a population standard deviation of 2 minutes. Suppose we select a sample of 20 high school students.

a. What is the standard error of the mean time? Answer

b. What percent of the sample means will be greater than 32.50 minutes?  Answer

c. What percent of the sample means will be greater than 31.50 minutes?  Answer

d.    What percent of the sample means will be greater than 31.50 but less than 32.50 minutes? Answer

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