Question #1: For each of the following questions, decide whether or not the samp

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Question #1: For each of the following questions, decide whether or not the sample data can be used to construct a confidence interval. DO NOT construct any of the intervals, just determine if the data meet the criteria for constructing an interval. Provide evidence for, or explain, why you believe the sample data does or does not meet the criteria. a) To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has recently been marketed. The FDA tests on this cigarette gave a mean nicotine content of 23.4 milligrams and standard deviation of 2.5 milligrams for a sample of n = 16 cigarettes Sample data can be used to construct a confidence interval for Sample data should not be used to construct a confidence interval for b) The NYS Department of Transportation is trying to determine if the "Hands-Free cell phone law" is effective. A survey of 562 non-fatal accidents (in NYS over the last 2 years) showed that 247 involved the use of a cell phone. Sample data can be used to construct a confidence interval for Sample data should not be used to construct a confidence interval for p c) The mean replacement time for a random sample of 21 microwave ovens is 7.6 years with a standard deviation of 2.4 years. The distribution of lifetimes of microwave ovens is known to be skewed left. Sample data can be used to construct a confidence interval for Sample data should not be used to construct a confidence interval for

Explanation / Answer

(A) The confidence interval for mu can be build given the data since for building the confidence interval for mu with unknown variance we just need sample mean, sample variance and the number of observations.

(B) The confidence interval for p can be build given the data since the estimate of phat can be obtained from the sample proportion and also estimate for the sample variace in this case is phat(1-phat)

(C) The confidence for sigma can't be build since the distribution is skewed .

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