The owner of Britten’s Egg Farm wants to estimate the mean number of eggs produced per chicken. A sample of 17 chickens shows they produced an average of 19 eggs per month with a standard deviation of 7 eggs per month. (Use  t Distribution Table.)a) For a 98% confidence interval, what is the value of t? (Round your answer to 3 decimal places.) b) Develop the 98% confidence interval for the population mean. (Round your answers to 2 decimal places.)confidence interval ____________ to _____________

Question
Asked Nov 7, 2019

The owner of Britten’s Egg Farm wants to estimate the mean number of eggs produced per chicken. A sample of 17 chickens shows they produced an average of 19 eggs per month with a standard deviation of 7 eggs per month. (Use  t Distribution Table.)

a) For a 98% confidence interval, what is the value of t? (Round your answer to 3 decimal places.)

 

b) Develop the 98% confidence interval for the population mean. (Round your answers to 2 decimal places.)

confidence interval ____________ to _____________

 

 

 

check_circleExpert Solution
Step 1

Given information:

Sample size(n)=17

Sample mean=19

Sample standard deviation=7

Step 2

a)

Confidence level=98%

So,

Significance level=1- Confidence level

                                      =1-98%

                                      =1-0.98

                                     =0.02

Step 3

Degree of freedom=n-1

=17-1

=16

Using t-table, the value of t-critical at 0....

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