Answer in Statistics and Probability for Adnil #145893

Question #145893

Suppose the mean amount of cholesterol in eggs labeled “large” is 186 milligrams, with standard deviation 7 milligrams. Find the probability that the mean amount of cholesterol in a sample of 144 eggs will be within 2 milligrams of the population mean.

Expert's answer

μ $\overline{X}$ =μ=186

σ $\overline{X}$ =σ/ $\sqrt{n}$ =7/12=0.583

Z=(188−186)/0.583=3.43

P(184< $\overline{X}$ <188)=P(-Z<x<Z)=P(-3.43<x<3.43)=0.9994

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Comments

Assignment Expert

24.11.20, 23:25

Dear Azzz, please use the panel for submitting new questions.

Assignment Expert

24.11.20, 23:24

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Azzz

24.11.20, 20:49

Sugar is packed in 5-pound bags. An inspector suspects the bags may not contain 5 pounds. A sample of 50 bags produces a mean of 4.6 pounds and a standard deviation of 0.7 pound. Is there enough evidence to conclude that the bags do not contain 5 pounds as stated, at α = 0.05? Also, find the 95% confidence interval of the true mean.

Ashaa

24.11.20, 20:45

Thank you

Assignment Expert

24.11.20, 20:14

Dear Azman, the answer is 0.9994 and it was explained in a solution of the question.

Assignment Expert

24.11.20, 20:14

Dear Ashaa, the answer is 0.9994 and it was explained in a solution of the question.

Azman

24.11.20, 11:59

Hi.. is there answer for these

Ashaa

24.11.20, 11:57

Hi.. is there answer for these