Question

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?

0.58 0.80 0.09 0.95 1.32
0.59 0.96

What is the confidence interval estimate of the population mean
μ?

_____ppm<μ<_____ppm (Round to 3 Decimal places as needed)

Does it appear that there is too much mercury in tuna sushi?

Answer #1

For the data given, we have the following descriptive statistics calculated using a statistics tool:

Sample size, n = 7

Sample mean, m = 0.76

Sample standard deviation, S = 0.388

Degrees of freedom, df = n-1 = 6

Standard error of mean, SE = S/(n^0.5) = 0.388/(6^0.5) = 0.158

For a 98% confidence interval, the critical t-value with df = 6 is:

t_{c} = 3.14

So, the 98% CI is as follows:

m - (tc*SE) < μ < m + (tc*SE)

Put the respective values:

0.76 - (3.14*0.158) < μ < 0.76 + (3.14*0.158)

**0.263 < μ < 1.256**

Since this interval also contains the values above 1, so we can say that it appears that there is too much mercury in tuna sushi.

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?
0.51 0.80 0.10 0.96 1.35 0.54 0.92
What is the confidence interval estimate of the...

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? 0.59 0.76 0.11 0.97
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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 99% confidence interval estimate of the
mean amount of mercury in the population. Does it appear that there
is too much mercury in tuna sushi?
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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 99%confidence interval estimate of the mean
amount of mercury in the population. Does it appear that there is
too much mercury in tuna sushi?
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what is the confidence interval estimate of the population...

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 95% confidence interval estimate of the
mean amount of mercury in the population. Does it appear that there
is too much mercury in tuna sushi?
0.61 0.80 0.09 0.93 1.27 0.50 0.90 What is the confidence
interval estimate of the...

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 99% confidence interval estimate of the
mean amount of mercury in the population. Does it appear that there
is too much mercury in tuna sushi?
0.59 , 0.72 , 0.10 , 0.92 , 1.23 , 0.57 , 0.84
What is...

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 99% confidence interval estimate of the
mean amount of mercury in the population. Does it appear that there
is too much mercury in tuna sushi?
0.55 0.76 0.09 0.88 1.33 0.51 0.85
What is the confidence interval estimate of the...

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
9999% confidence interval estimate of the mean amount of
mercury in the population. Does it appear that there is too much
mercury in tuna sushi?
0.51
0.71
0.09
0.90
1.23
0.51
0.80
What is the confidence interval estimate of the...

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?
0.51 0.77 0.10 0.94 1.28 0.49 0.96
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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 99% confidence interval estimate of the
mean amount of mercury in the population. Does it appear that there
is too much mercury in tuna sushi?
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