Question

what is the confidence interval estimate of the population mean μ?
0.450 ppm < μ < 1.022 ppm
(round to three decimal places as needed.)
does it appear that there is too much mercury in tuna sushi?
o a. yes, because it is possible that the mean is not greater than 1 ppm. also, at least one of the sample values exceeds 1 ppm, so at least some of the fish have too much mercury.
o b. no, because it is not possible that the mean is greater than 1 ppm. also, at least one of the sample values is less than 1 ppm, so at least some of the fish are safe.
o c. no, because it is possible that the mean is not greater than 1 ppm. also, at least one of the sample values is less than 1 ppm, so at least some of the fish are safe.
o d. yes, because it is possible that the mean is greater than 1 ppm. also, at least one of the sample values exceeds 1 ppm, so at least some of the fish have too much mercury.

Explanation:

Step1: Analyze the confidence interval

The confidence interval is \(0.450\ \text{ppm}<\mu < 1.022\ \text{ppm}\).

Step2: Check if the upper bound is greater than 1 ppm

Since \(1.022> 1\), it is possible that the mean is greater than \(1\ \text{ppm}\). Also, check the sample values: at least one of the sample values exceeds \(1\ \text{ppm}\), so at least some of the fish have too much mercury.

Answer:

A. Yes, because it is possible that the mean is not greater than \(1\ \text{ppm}\). Also, at least one of the sample values exceeds \(1\ \text{ppm}\), so at least some of the fish have too much mercury.