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What is the confidence interval estimate of the population mean mu? This is due at 11:59 pm
Biala
Biala
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3 weeks ago
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
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bio_man
wrote...
#1
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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bio_man
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#2
Educator
3 weeks ago
If you like the answer, please mark it solved
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Biala
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#3
3 weeks ago
Edited:
3 weeks ago, Biala
It says that it is incorrect.
Post Merge: 3 weeks ago
It also has to be three decimal places.
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bio_man
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#4
Educator
3 weeks ago
I made a critical error, fixing it now!
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bio_man
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#5
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 figures
Answer is still no, because the range is less than 1
Hope this is right, been a while since I've done statistics
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Biala
wrote...
#6
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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bio_man
wrote...
#7
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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Biala
wrote...
#8
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 ago
I will just mark it as solved.
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bio_man
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#9
Educator
3 weeks ago
welcome :-)
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