%3D |3| Part (d) Construct a 95% confidence interval for the population mean height of males of this country. O State the confidence interval. (Round your answers to two decimal places. () Sketch the graph. 20 2 2. () Calculate the error bound. (Round your answer to two decimal places.) O Part (e) What will happen to the level of confidence obtained if 1,000 males are surveyed instead of 46? Why? O The confidence interval will increase in size, because an increase in sample size decreases variability, which means a larger interval will be O The confidence intenval will decrease in size, because an increase in sample size increases variability, which means a smaller interval will be The confidence interval will decrease in size, because an increase in sample size decreases variability, which means a smaller interval will b O The confidence interval will increase in size, because an increase in sample size increases variability, which means a larger interval will be ne

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Among various ethnic groups, the standard deviation of heights is known to be approximately three inches. We wish to construct a 95% confidence interval for the mean height of males from a certain country. Forty-five males are surveyed from a particular country. The sample mean is 71 inches. The sample standard deviation is 2.7 inches.

 

%3D
|3|
Part (d)
Construct a 95% confidence interval for the population mean height of males of this country.
O State the confidence interval. (Round your answers to two decimal places.
() Sketch the graph.
20
2
2.
() Calculate the error bound. (Round your answer to two decimal places.)
O Part (e)
What will happen to the level of confidence obtained if 1,000 males are surveyed instead of 46? Why?
O The confidence interval will increase in size, because an increase in sample size decreases variability, which means a larger interval will be
O The confidence intenval will decrease in size, because an increase in sample size increases variability, which means a smaller interval will be
The confidence interval will decrease in size, because an increase in sample size decreases variability, which means a smaller interval will b
O The confidence interval will increase in size, because an increase in sample size increases variability, which means a larger interval will be ne
Transcribed Image Text:%3D |3| Part (d) Construct a 95% confidence interval for the population mean height of males of this country. O State the confidence interval. (Round your answers to two decimal places. () Sketch the graph. 20 2 2. () Calculate the error bound. (Round your answer to two decimal places.) O Part (e) What will happen to the level of confidence obtained if 1,000 males are surveyed instead of 46? Why? O The confidence interval will increase in size, because an increase in sample size decreases variability, which means a larger interval will be O The confidence intenval will decrease in size, because an increase in sample size increases variability, which means a smaller interval will be The confidence interval will decrease in size, because an increase in sample size decreases variability, which means a smaller interval will b O The confidence interval will increase in size, because an increase in sample size increases variability, which means a larger interval will be ne
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