Using 64 randomly selected phone calls, the average call length was calculated to be 4.2 minutes. It is known from previous studies that the variance of the length of phone calls is 1.44min 2. Assuming that the length of calls has a normal distribution (a) estimate an interval estimate of the length of a telephone conversation at the 0.95 confidence level (b) confidence 0.99 c) Compare the length of the two intervals and explain how the length of the interval depends on the confidence level.

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Chapter1: Combinatorial Analysis
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Using 64 randomly selected phone calls, the average call length was calculated to be 4.2 minutes. It is known from previous studies that the variance of the length of phone calls is 1.44min 2. Assuming that the length of calls has a normal distribution


(a) estimate an interval estimate of the length of a telephone conversation at the 0.95 confidence level
(b) confidence 0.99
c) Compare the length of the two intervals and explain how the length of the interval depends on the confidence level.

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