My Notes Ask Your Each of the following is a confidence interval for -true avera

Question

My Notes Ask Your Each of the following is a confidence interval for -true average (i.e., population mean) resonance frequency (Hz) for all tennis rackets of a certain type: (112.4, 113.6) (112.1, 113.9) (a) What is the value of the sample mean resonance frequency? Hz (b) Both intervals were calculated from the same sample data. The confidence ievel 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 wider interval. O The second interval has the 90% confidence level because it is a narrower nera 0 The first interval has the 90% confidence level because it is a wider interval The first interval has the 90% confidence level because it is a narrower interval

Explanation / Answer

a) The value of the sample mean resonance frequency is

(112.4+113.6)/2 =113 Hz

b) The first interval has the 90% confidence level because it is a narrower interval.

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