To determine how well a new method of teaching vocabulary is working in a certain elementary school,
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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.
The researchers plan to compute the sample mean x̄, then construct a 95%
confidence interval for the population mean test score.
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?
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