Question

In: Statistics and Probability

A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 247...


A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 247 milligrams with s = 16.8 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.

Solutions

Expert Solution

The formula for constructing confidence interval for the true population mean, is given by

Given:

sample size,

sample mean,

sample standard deviation,

For 95% confidence, , then the critical value is,

Calculation for 95% confidence interval for

So the 95% confidence interval for the true mean cholesterol content in all such eggs is calculated as .

i.e.,

orchestra answered 2 years ago
Next > < Previous

Related Solutions

A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 182...
A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 182 milligrams with a standard deviation of 15.4 milligrams.  Construct a 99% confidence interval for the true mean cholesterol content of all such eggs. Write a sentence summarizing your results.
A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 230...
A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 230 milligrams with s = 11.3 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.
A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228...
A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with σ=19.0 milligrams. Construct a​ 95% confidence interval for the true mean cholesterol​ content, μ​, of all such eggs. A. 223mg <μ <232mg B.225mg <μ <233mg C.224mg <μ<232mg D.223mg <μ <231mg
A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228...
A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with σ = 19.0 milligrams. Construct a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs. Question 15 options: A) 224 mg < μ < 232 mg B) 223 mg < μ < 231 mg C) 225 mg < μ < 233 mg D) 223 mg < μ < 232 mg
A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228...
A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with σ = 19.0 milligrams. Construct a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs. Question 15 options: A) 224 mg < μ < 232 mg B) 223 mg < μ < 231 mg C) 225 mg < μ < 233 mg D) 223 mg < μ < 232 mg
A laboratory tested 12 chicken eggs and found that the mean amount of cholesterol was 183...
A laboratory tested 12 chicken eggs and found that the mean amount of cholesterol was 183 milligrams with s=12.7. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs and demonstrate two methods for finding margin of error.
A lab tested a random sample of 155 chicken eggs for their level of cholesterol. The...
A lab tested a random sample of 155 chicken eggs for their level of cholesterol. The average of the sample was 198 milligrams. The standard deviation of all eggs of this type is known to be 14.1 milligrams. What is the 95% confidence interval for the true mean cholesterol content of this type of chicken egg?
The cholesterol content of large chicken eggs is normally distributed with the mean of 170 milligrams...
The cholesterol content of large chicken eggs is normally distributed with the mean of 170 milligrams and standard deviation 18 milligrams. in 35% of the eggs, the cholestrolvcontent is less than what value?
B: The weights of chicken eggs are normally distributed with a mean of 56 grams and...
B: The weights of chicken eggs are normally distributed with a mean of 56 grams and a standard deviation of 4.8 grams. You think this value is low, and collect a dozen eggs with a mean weight of 57.5 grams. Use α=0.05. Part 1 (2 pts): Write your hypotheses in both symbols and words. Part 2 (4 pts): Test an appropriate hypothesis "by hand" using an alpha level of 0.05. Assume conditions are met (so don't check them). Be sure...
An Egg producer wants to estimate the mean number of eggs produced per chicken.  A sample of...
An Egg producer wants to estimate the mean number of eggs produced per chicken.  A sample of 16 chickens shows they produced an average of 21 eggs per month with a standard deviation of 1.7 eggs per month. a. Develop a 99% confidence interval for the population mean b. What is the best estimate of the population mean? c. What distribution would you use for this analysis?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT