Question

In: Statistics and Probability

A farmer wants to determine the mean number of eggs produced per month. A sample of...

  1. A farmer wants to determine the mean number of eggs produced per month. A sample of 20 chickens shows they produce an average of 20 eggs per month with a sample standard deviation of of 2 eggs per month. a.What is the point estimate of the population mean? b.Why is a t-distribution necessary? _________________ c.what assumption must be made to use the t-distribution? _____________________
  2. What is the value of t for a 95% confidence interval? _______________________
  3. What is the 95% confidence interval? ___________________________
  4. Is it reasonable to assume the population mean is 21 eggs? _______ & Why or why not?

Solutions

Expert Solution


Related Solutions

A farmer wants to determine the mean number of eggs produced per month. A sample of...
A farmer wants to determine the mean number of eggs produced per month. A sample of 20 chickens shows they produce an average of 20 eggs per month with a sample Standard Deviation of 2 eggs per month. A. What is the point estimate of the population mean ? B. Why is a t distribution necessary? C. What assumptions must be made to use the t distribution? D. What is the value of t for a confidence interval ?e. What...
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?
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. Develope a 99% confidence interval for the population mean a. [19.27,22.73] b. [20.25,21.75] c. [19.75,22.25] d. [20.09,21.91] 2) 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...
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per...
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 16 chickens shows they laid an average of 18 eggs per month with a standard deviation of 5 eggs per month.   a-2. What is the best estimate of this value? ANS ________ For a 90% confidence interval, what is the value of t? (Round the final answer to 3 decimal places.) The value of t is______    d. Develop the...
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per...
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 30 chickens shows they laid an average of 25 eggs per month with a standard deviation of 12 eggs per month.   a-2. What is the best estimate of this value? c. For a 80% confidence interval, what is the value of t? (Round the final answer to 3 decimal places.) The value of t is  .    d. Develop the 80%...
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per...
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 34 chickens shows they laid an average of 27 eggs per month with a standard deviation of 14 eggs per month.   a-1. What is the value of the population mean? (Click to select)  It is unknown.  27.00  14 a-2. What is the best estimate of this value? b-1. Explain why we need to use the t distribution. (Click to select)  Use the t distribution...
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per...
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 20 chickens shows they laid an average of 21 eggs per month with a sample standard deviation of 2.99 eggs per month. (a-1) What is the value of the population mean?    (Click to select)21, 2.99, or It is unknown.    (a-2) What is the best estimate of this value?    (c) For a 99 percent confidence interval, the value...
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per...
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 20 chickens shows they laid an average of 20 eggs per month with a standard deviation of 2 eggs per month. Develop the 95% confidence interval for the population mean. Would it be reasonable to conclude that the population mean is 21 eggs? What about 25 eggs?
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per...
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 20 chickens shows they laid an average of 19 eggs per month with a sample standard deviation of 2.91 eggs per month. (a-1) What is the value of the population mean?    (Click to select)2.9119It is unknown.    (a-2) What is the best estimate of this value?    (c) For a 95 percent confidence interval, the value of t is...
A poultry farmer wants to know which breed of hen lays more eggs. A random sample...
A poultry farmer wants to know which breed of hen lays more eggs. A random sample of 60 values of the average daily egg production by the Rhode Island Red hens had a sample mean of 0.765 egg per hen and a sample standard deviation of 0.11. A random sample of 50 values of the average daily egg production by the Plymouth Rock hens had a mean of 0.559 egg per hen and a standard deviation of 0.09. Determine the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT