Question

8. A random sample is obtained from a normal population with a mean of µ =...

8. A random sample is obtained from a normal population with a mean of µ = 80 and a standard deviation of σ = 8. Which of the following outcomes is more likely? Explain your answer.

          A. A sample mean greater than 86 for a sample of n = 4 scores.

          B. A sample mean greater than 84 for a sample of n = 16 scores.

9. The distribution of SAT scores is normal with a mean of µ = 500 and a standard deviation of σ = 100. If the mean SAT score is computed from a sample of n = 100 students from this population…

A. What range of values should contain the sample mean 95% of the time?

B. What range of values should contain the sample mean 99% of the time?

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