Question: The researchers now plan to construct a 99% confidence interval for the test scores described in Exercise 11. a. What is the critical value z2

The researchers now plan to construct a 99% confidence interval for the test scores described in Exercise 11.

a. What is the critical value zα∕2 for this confidence interval?

b. Find the margin of error for this confidence interval.

c. Let m represent the margin of error for this confidence interval. For what percentage of all samples will the confidence interval x̄ ± m cover the true population mean?

Exercise 11

To determine how well a new method of teaching vocabulary is working in a certain elementary school, education researchers plan to give a vocabulary test to a sample of 100 sixth graders. It is known that scores on this test have a standard deviation of 8.

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