A food safety guideline is that the mercury in fish should be below 1 part per million​ (ppm). 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?

UkusakazaL

UkusakazaL

Answered question

2021-08-01

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?
0.600.820.090.891.290.490.82
What is the confidence interval estimate of the population mean μ?
? p±<μ< ? p±

Answer & Explanation

ddaeeric

ddaeeric

Beginner2021-08-01Added 1 answers

Step 1
x(xx¯)(xx¯)20.60.114290.013061220.820.105710.011175510.090.624290.389732650.890.175710.030875511.290.575710.331446940.490.224290.050304080.820.105710.01117551Total50.83777143
Here n=7
Sampke mean =x=xn=0.714
Sample S.D.=s=1n1(xx)2=0.3737
Step 2
Confidence Level=95Significance Level=α=(10095)%=0.05Degrees of freedom=n1=71=6Critical value=t=2.447[using Excel=TINV(0.05, 6)]
Standard Error =sn=0.1412
Margin of Error (M.E) =tsn=0.3456
Lower Limit=x(M.E)=0.3687
Upper Limit=x+(M.E)=1.0599

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