(b) Generate a bootstrap distribution, using at least 1000 simulated statistics. What is the standard error?
(c)Use the standard error to find a 95% confidence interval. Show your work. Is 98.6 in the
(d) Using the same distribution, find a 95% confidence interval using the “Two-tail” option on StatKey (or other technology to give percentiles from the bootstrap distribution).
(e) Compare the two 95% confidence intervals you found. Are they similar?
(f) Still using the same bootstrap distribution, give a 99% confidence interval.
(g) Is the 99% confidence interval wider or narrower than the 95% confidence interval?
(h) Clearly interpret the 99% confidence interval We are 99% sure that the mean body temperature for all healthy individuals is between98.017 and 98.544.Example: Problems with Bootstrap Distributions If a bootstrap distribution is not relatively symmetric, it is not appropriate to use the methods of this chapter to construct a confidence interval. Consider the following data set: 5, 6, 7, 8, 25, 100 (a) What is the standard deviation of this dataset?
(b) Use StatKey (or other technology) to create a bootstrap distribution for the standard deviationof this dataset. Describe the distribution. Is the distribution symmetric and bell-shaped?