Each of the following is a confidence interval for mu = true average (i.e., popu

Question

Each of the following is a confidence interval for mu = true average (i.e., population mean) resonance frequency (Hz) for all tennis rackets of a certain type: (117.4, 118.6) (117.1, 118.9) (a) What is the value of the sample mean resonance frequency? (b) Both intervals were calculated from the same sample data. The confidence level for one of these intervals is 90% and for the other is 99%. Which of the intervals has the 90% confidence level, and why? The second interval has the 90% confidence level because it is a narrower interval. The first interval has the 90% confidence level because it is a narrower interval. The first interval has the 90% confidence level because it is a wider interval. The second interval has the 90% confidence level because it is a wider interval.

Explanation / Answer

a)) mean = middle value of confidence interval = (118.6 + 117.4) / 2 = 118

b) Option-B) The first interval has th e90% confidence level, because it is a narrower interval.

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