Question

Each of the following is a confidence interval for u = true average (i.e., population mean) resonance frequency (Hz) for all tennis rackets of a certain type: (117.6, 118.4) (117.4, 118.6) (a) What is the value of the sample mean resonance frequency? Hz (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? O The first interval has the 90% confidence level because it is a narrower interval. 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 interval. O The first interval has the 90% confidence level because it is a wider interval. Need Help? Read It Talk to a Tutor

Answer 1

Answer Date: 29/04/2020 The value of sample mean resonance frequency is, Lower Confidence Limit + Upper Confidence Limit 117.6 +118.4 = 118 The value of sample mean resonance frequency is 118). Both intervals were calculated from same sample data. The confidence level for one of these intervals is 90% and for the other is 99%. The first interval has the 90% confidence level because it is a narrower interval.

The option part (2) the second interval has the 90% confidence level because it is a wider interval is incorrect due to as confidence level increases as confidence interval is wider, so the second interval is 99%. The option part (3) the second interval has the 90% confidence level because it is a narrower interval is incorrect due to the second interval is 99%. The option part (4) the first interval has the 90% confidence level because it is a wider interval is incorrect due to the first interval is narrower. The answer option is 1.