Question: Finding critical t-values. What critical value t from Table D should be used to calculate the margin of error for a confidence interval for the
Finding critical t∗-values. What critical value t∗ from Table D should be used to calculate the margin of error for a confidence interval for the mean of the population in each of the following situations?
(a) A 90% confidence interval based on n = 9 observations.
(b) A 90% confidence interval from an SRS of 36 observations.
(c) A 95% confidence interval from a sample of size 36.
(d) These cases illustrate how the size of the margin of error depends on the confidence level and on the sample size. Summarize the relationships illustrated.
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