CAN SOMEONE ANSWER THE LAST QUESTION AT THE END OF THIS? Question: Whitmore Farm

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CAN SOMEONE ANSWER THE LAST QUESTION AT THE END OF THIS?

Question: Whitmore Farms sells the Ameraucana hens who lay light blue eggs. A random sample of 64 of these hens produced a mean standing height of 14.4 inches. The standard deviation of standing height of Ameraucana hens is known to be .8 inch.

What is the point estimate for the population mean, the expected height of all Ameraucana hens, based on this sample of 64 hens from whitmorefarm.com?
Answer: The point estimate for the population mean is 14.4, which is also the sample mean.
What is the standard error for the point estimate for the mean height of Ameraucana hens?
Answer: .1
Construct a 90% confidence interval to estimate the mean standing height of Ameraucana hens based on this sample of 64 hens from whitmorefarm.com.
Answer: 1.645
Construct a 95% confidence interval to estimate the mean standing height of Ameraucana hens based on this sample of 64 hens from whitmorefarm.com.
Answer: 1.96
Construct a 99% confidence interval to estimate the mean standing height of Ameraucana hens based on this sample of 64 hens from whitmorefarm.com.
Answer: 2.576
What was the Bound of Error associated with the 90% confidence interval to estimate the mean standing heights of Ameraucana hens that was calculated above?
Answer:

Explanation / Answer

Margin of error or the bound of error is the breadth of the error or it is expressed in formulae as :

Za/2 *Sigma/sqrt(n)

Za/2 for 90% CI is 1.645

So, 1.645*.8/sqrt(64) = +/- 0.1645

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