# statistics

posted by .

An experimental egg farm is raising chickens to produce low cholesterol eggs. A lab tested 12 randomly selected eggs and found that the mean amount of cholesterol was x = 186 mg. The sample standard deviation was found to be s = 19.0 mg on this group. Assume that the population is normally distributed.

Question: Find the margin of error for a 95% confidence interval. Round your answer to the nearest tenths.

Question: Find a 95% confidence interval for the mean µ cholesterol content for all experimental eggs. Assume that the population is normally distributed.
1.96 – 9.31 = 7.35
1.96 + 9.31 = 11.27

• statistics -

Why is it the "√16" when n - 1 = 11?

Standard error of the mean = Standard deviation/√(n-1)

95% confidence interval = mean ± 1.96 SE. Why are you not using mean = 186?

## Similar Questions

1. ### statistics

investigators at an agricultural research facility randomly assigned equal numbers of chicken to be housed in two rooms. In room #1, chickens experienced normal day/night cycles. In the other room, lights were left on 24 hours a day. …
2. ### Statistics

The serum cholesterol levels in men aged 18 to 24 are normally distributed with a mean of 178.1 and a standard deviation of 40.7. A group of 9 men aged 18 to 24 randomly selected. 1. Find the probability that there are at least 2 men …
3. ### statistics

9) A 95% confidence interval for the true mean cholesterol of adult males based on 25 randomly selected subjects extends from 175 mg/L to 250 mg/L. A proper interpretation of the confidence interval would be that: A) 95% of the population …
4. ### statistics

mean cholesterol is 175mg/dl..standard deviation =20mg/dl assume approx normal distribution ..is varied. what percentage has a cholesterol level above 155mg/dl?
5. ### statistics

The cholesterol levels of young women aged 20 to 34 vary approximately normal with mean 185 milligrams per deciliter and standard deviation 39 mg/dl. Cholesterol levels for men vary with mean 222mg/dl and standard deviation 37 mg/dl …
6. ### algebra & trigonometry

A patient is not allowed to have more than 300 milligrams of cholesterol per day from a diet of eggs and meat. Each egg provides 150 milligrams of cholesterol. Each ounce of meat provides 100 milligrams of cholesterol. Write an inequality …
7. ### math

A patient is not allowed to have more than 300 milligrams of cholesterol per day from a diet of eggs and meat. Each egg provides 150 milligrams of cholesterol. Each ounce of meat provides 100 milligrams of cholesterol.
8. ### Statistics

I'm taking stats online which is making it even more difficult for me and I have nowhere to begin when answering this question. 1. A pharmaceutical industry claimed that their new product will lower the cholesterol level by an average …
9. ### statistics

The following table shows the summary statistic of the cholesterol levels of two groups of men in 2014. From 25 to 40 years old, the mean is 224, standard deviation is 5.5 and the sample size is 12. From 41 to 55 years old, the mean …
10. ### math

A farmer collected some eggs from his farm and found b eggs broken. He packed the remaining eggs in c egg cartons. Each egg carton can hold a dozen eggs and no eggs were leftover. Write an algebraic expression for the number of eggs …

More Similar Questions