Suppose that a customer service center claims that the telephone call it receives last 112 seconds on average, with a standard deviation of 9 seconds. If you took a sample of 324 telephone calls, which of the following mean times would be within the 95% confidence interval? A. 115.5 seconds B. 112.5 seconds C. 114.5 seconds D. 113.5 seconds

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Suppose that a customer service center claims that the telephone call it receives last 112 seconds on average, with a standard deviation of 9 seconds. If you took a sample of 324 telephone calls, which of the following mean times would be within the 95% confidence interval? A. 115.5 seconds B. 112.5 seconds C. 114.5 seconds D. 113.5 seconds

Mathematics
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margin of error = 1.96*9/sqrt(324) = 0.98 so the confidence interval is\[\large (112-0.98, 112+0.98) = (111.02, 112.98 )\]
look at the options and pick the one that lies in that interval

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so it would be 112.5?
Yep!
Thanks a lot!
yw

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