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In a random sample of forty-eight 200-metre swims has a mean time of 3.12 minutes and a standard deviation of 0.09 minutes.
(a) Construct the 89% confidence interval for the population mean time.
(b) If all the other quantities remain the same, how does the indicated change affect the width of the confidence interval?
(i) Increase in the sample size
(ii) Increase in the level of confidence.
Graph the information using a histogram and a scatter plot in Excel as well. How does seeing the information in a graphical format provide more information?
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The best estimator or appreciative for the population proportion is 0.45. How large must the sample be?
If the alpha level is changed from a = .05 to a = .01, (a) What happens to the boundaries for the critical regions? (b) What happens to the probability of a type I error?
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