Question

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 28 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 16 high school students. What can we say about the shape of the distribution of the sample mean time?

1. What can we say about the shape of the distribution of the sample mean time?

2. What is the standard error of the mean time? (Round your answer to 2 decimal places.)

3. What percent of the sample means will be greater than 28.75 minutes? (Round your z values and final answers to 2 decimal places.)

4. What percent of the sample means will be greater than 26.75 minutes? (Round your z values and final answers to 2 decimal places.)

5. What percent of the sample means will be greater than 26.75 but less than 28.75 minutes? (Round your z values and final answers to 2 decimal places.)

Answer 1