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, 0.82, 0.09, 0.94, 1.29, 0.53, 0.83

1. What is the confidence interval estimate of the population mean u?

_____ppm < u < _____ppm (round to three decimal places)

Show all work please and thank you in advance!

Answer 1

We have given data in increasing order is,

0.09,0.53,0.58,0.82,0.83,0.94,1.29
Sample size:7

Mean (x̄): 0.7257

Standard deviation (s): 0.37589

Sample size =7  
Level of significance=1-0.98=   0.02  
Degree of freedom =6  
          
t critical value is (by using t table)=   3.143  
          
Confidence interval formula is   

=(0.279,1.172)      
          
          
          
Lower confidence limit=   0.279
          
Upper confidence limit=   1.172  

0.279 ppm < < 1.172 ppm