Using the data in Exercise 5.72, determine the number of sample observations that would be required to estimate μ to within 1 minute, using a 95% confidence interval. (Hint: Substitute s = 12.36 for σ in your calculations.)
REFERENCE:
5.72 : As part of an overall evaluation of training methods, an experiment was conducted to determine the average exercise capacity of healthy male army inductees. To do this, each male in a random sample of 35 healthy army inductees exercised on a bicycle ergometer (a device for measuring work done by the muscles) under a fixed work load until he tired. Blood pressure, pulse rates, and other indicators were carefully monitored to ensure that no one’s health was in danger. The exercise capacities (mean time, in minutes) for the 35 inductees are listed here.
a. Use these data to construct a 95% confidence interval for μ , the average exercise capacity for healthy male inductees. Interpret your findings.
b. How would your interval change using a 99% confidence interval?
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