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# What is the confidence interval estimate of the population mean mu​? This is due at 11:59 pm

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3 weeks ago
 What is the confidence interval estimate of the population mean mu​? This is due at 11:59 pm 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?0.51, 0.75, 0.09, 0.87, 1.36, 0.57, 0.80 Read 90 times 9 Replies
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Educator
3 weeks ago
 Begin by finding the mean ($$mean=\overline{x}$$)Add 0.51, 0.75, 0.09, 0.87, 1.36, 0.57, 0.80 then divide the sum by 7 (given there are 7 measurements)$$\overline{x}=0.70714285714286$$ (keep 2 significant figures)The standard deviation (we'll denote it as $$\sigma$$) can be calculated using your calculator:$$\sigma =0.38767315639657$$ (should be 2 significant figures)UL/LL = means +/- standard deviation / sqrt(population size)UL = $$0.707\pm \frac{0.387}{\sqrt{7}}$$UL = $$0.85$$LL = $$0.56$$[0.56, 0.85]No, given the range is less than 1. Hope that helps, and hope I'm right
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Educator
3 weeks ago
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wrote...
3 weeks ago Edited: 3 weeks ago, Biala
 It says that it is incorrect.Post Merge: 3 weeks agoIt also has to be three decimal places.
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Educator
3 weeks ago
 I made a critical error, fixing it now!
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Educator
3 weeks ago
 UL/LL = means +/- (z-score @ 95%)[standard deviation / sqrt(population size)]$$0.707\pm \left(1.96\right)\frac{0.387}{\sqrt{7}}$$UL = $$0.994$$LL = $$0.420$$Try these instead, now to 3 significant figuresAnswer is still no, because the range is less than 1Hope this is right, been a while since I've done statistics
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wrote...
3 weeks ago
 Thank you for the help but there was an error in the system and I guess it counted my attempt for a similar question and now I can't put anything in. I didn't even use all of my attempts so that's a bit of a bummer.
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Educator
3 weeks ago
 Honestly I panicked because I thought it was due @ 11:30, like before (I take half the blame )
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3 weeks ago
 It's okay. You tried to help and that's what matters. I got most of the questions right too so it isn't that much of a loss. Thank you again! This forum is a lot of help.Post Merge: 3 weeks agoI will just mark it as solved.
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Educator
3 weeks ago
 welcome :-)
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