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

9595​%

confidence interval estimate of the mean amount of mercury in the population. Does it appear that there is too much mercury in tuna​ sushi?

0.540.54  

0.740.74  

0.110.11  

0.920.92  

1.241.24  

0.490.49  

0.830.83

  

What is the confidence interval estimate of the population mean

Answer 1

Solution :

Data are as follows :

0.54, 0.74, 0.11, 0.92, 1.24, 0.49, 0.83

Mean=​​​​​​

Sample standard deviation=s=0.3597 (calculate by using excel command STDEV())

n=7, df=n-1=6

(From t-table)

95% CI ​​​​​​

  

​​​​​​

95% C. I. =(0.696-0.34192, 0.696+0.34192)

= (0.35408, 1.03792)

Wr can 95% confident that the population mean (μ) falls between 0.35408 and 1.03792.