# Question

a. Set the slider for level of confidence to 68%. Click “sample!” to construct one 68% confidence interval. Note the upper and lower confidence limits and calculate the width of the interval. Using “animate!” construct many samples and note the percent of intervals containing the true mean of 300. Click “stop” and “reset.”

b. Set the slider for level of confidence to 95%. Click “sample!” to construct one 95% confidence interval. Note the upper and lower confidence limits and calculate the width of the interval. Using “animate!” construct many samples and note the percent of intervals containing the true mean of 300. Click “stop” and “reset.”

c. Set the slider for level of confidence to 99%. Click “sample!” to construct one 99% confidence interval. Note the upper and lower confidence limits and calculate the width of the interval. Using “animate!” construct many samples and note the percent of intervals containing the true mean of 300. Click “stop.”

d. Using the information collected in parts a–c, what effect does the level of confidence have on the width of the interval? Why is this happening?

b. Set the slider for level of confidence to 95%. Click “sample!” to construct one 95% confidence interval. Note the upper and lower confidence limits and calculate the width of the interval. Using “animate!” construct many samples and note the percent of intervals containing the true mean of 300. Click “stop” and “reset.”

c. Set the slider for level of confidence to 99%. Click “sample!” to construct one 99% confidence interval. Note the upper and lower confidence limits and calculate the width of the interval. Using “animate!” construct many samples and note the percent of intervals containing the true mean of 300. Click “stop.”

d. Using the information collected in parts a–c, what effect does the level of confidence have on the width of the interval? Why is this happening?

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