SOLUTION: Please help
An experimental egg farm is raising chickens to produce low cholesterol eggs. A lab tested 25 randomly selected eggs and found that the mean amount of cholesterol wa
Algebra ->
Probability-and-statistics
-> SOLUTION: Please help
An experimental egg farm is raising chickens to produce low cholesterol eggs. A lab tested 25 randomly selected eggs and found that the mean amount of cholesterol wa
Log On
Question 324063: Please help
An experimental egg farm is raising chickens to produce low cholesterol eggs. A lab tested 25 randomly selected eggs and found that the mean amount of cholesterol was 190 mg. The sample standard deviation was found to be s = 18.0 mg on this group. Assume that the population is normally distributed.
a. Find the margin of error for a 95% confidence interval. Round your answer to the nearest tenths.
b.Find a 95% confidence interval for the mean cholesterol content for all experimental eggs. Assume that the population is normally distributed.
You can put this solution on YOUR website! An experimental egg farm is raising chickens to produce low cholesterol eggs. A lab tested 25 randomly selected eggs and found that the mean amount of cholesterol was 190 mg. The sample standard deviation was found to be s = 18.0 mg on this group. Assume that the population is normally distributed.
a. Find the margin of error for a 95% confidence interval. Round your answer to the nearest tenths.
ME = ts/sqrt(n)
t for 0.975 with df = 24 = 2.0639
s = 18
n = 25
---
ME = 2.0639*18/sqrt(25) = 7.43
--------------------------------------------
b.Find a 95% confidence interval for the mean cholesterol content for all experimental eggs. Assume that the population is normally distributed.
95$ CI: 190-7.43 < u < 190+7.43
182.47 < u < 197.43
=======================================
Cheers,
Stan H.
(