Question 7 options:
The owner of the Britten's Egg Farm wants to estimate the meannumber of eggs produced per chicken. A representativerandom sample of 25 chickens show they produce an average of 20eggs per month with a sample standard deviation(s) of 2 eggs per month. The distribution is known to besymmetrical and is close enough to normal to be treated as a normaldistribution.
Answer the following questions related to the above paragraphand calculate a 90% confidence interval for the mean number of eggsproduced per chicken on the Britten's Egg Farm.
a What is the point estimate of the meannumber of eggs produced per chicken?
Enter answer with 0 decimalplaces (integer).
b What is the appropriate distributionfor calculating a 90% confidence interval?
c The degrees of freedom (df) for this problem is?
Enter Na or 0 for the df if the appropriate distribution does notrequired a df.
e The 90% conference interval for themean number eggs produced per month is:
Enter the lower and upper limits for the conference interval byentering the lower limit first.
Rounded each conference limit to 1 decimal point.
F Prior to this study the owner of theBritten's Egg Farm Egg Farm believed the mean amount off eggsproduced per month on his farm was 22.
Does the study support his belief with a 90% confidence?
a Yes. The mean amount of eggs producedper month on his farm could be 22 per month because the number 22is not contained in the confidence interval.
b Yes. The mean amount of eggsproduced per month on his farm could be 22 per month because thenumber 22 is contained in the confidence interval.
c No. The mean amount of eggsproduced per month on his farm is most likely not 22 per monthbecause the number 22 is not contained in the confidenceinterval.
d No. The mean amount of eggs producedper month on his farm is most likely not 22 per month because thenumber 22 is contained in the confidence interval.
e The owner can not comment on the mean amountof eggs produced per month on his farm because the confidenceinterval is based upon a sample.
Enter the correct answer by selecting and entering theappropriate letter.
