In: Statistics and Probability
A food safety guideline is that the mercury in fish should be
below 1 part per million (ppm). Listed below are the amounts
of
mercury (ppm) found in tuna sushi sampled at different stores in a
major city. Construct a 98% confidence interval estimate
of the mean amount of mercury in the population. Does it appear
that there is too much mercury in tuna sushi?
0.54 0.80 0.10 0.88 1.33 0.58 0.90
What is the confidence interval estimate of the population mean
μ?
---------ppm< μ <------- ppm
(Round to three decimal places as needed.)
Does it appear that there is too much mercury in tuna sushi?
A. 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.
B. 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.
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.
D. 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.
The calculation is shown below:
SNO | Amount of Mercury |
1 | 0.54 |
2 | 0.8 |
3 | 0.1 |
4 | 0.88 |
5 | 1.33 |
6 | 0.58 |
7 | 0.9 |
Total | 5.13 |
Mean | 0.732857143 |
Standard Deviation | 0.381169878 |
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.
Hence option B is the correct answer