Question #182505

The average number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is 660 mg, and the standard deviation is 35 mg. Assume that the variable is normally distributed. If a sample of 10 cups of ice cream is selected, what is the probability that the mean of the sample will be larger than 670 mg?


1
Expert's answer
2021-05-11T12:01:35-0400

Solution:

Given, μ=660,σ=35,n=10\mu=660,\sigma=35,n=10

XN(μ,σ2)X\sim N(\mu,\sigma^2)

Now, P(X>670)=P(z>67066035/10)=P(z>0.9035)P(X>670)=P(z>\dfrac{670-660}{35/\sqrt{10}})=P(z>0.9035)

=1P(z0.9035)10.81594=0.18403=1-P(z\le0.9035)\approx1-0.81594=0.18403


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS