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 72 inches. The sample standard deviation is 2.9 inches. O Part (a) O Part (b) O Part (c) O Part (d) Construct a 95% confidence interval for the population mean height of males of this country. ) State the confidence interval. (Round your answers to two decimal places.) (i) Sketch the graph.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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can someone explain how I do this problem? I'm lost and keep messing up, I only have 2 more tries to get it correct, thanks

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 72 inches. The sample standard deviation is 2.9 inches.
+ Part (a)
Part (b)
Part (c)
O Part (d)
Construct a 95% confidence interval for the population mean height of males of this country.
(i) State the confidence interval. (Round your answers to two decimal places.)
(ii) Sketch the graph.
C.L. =
(iii) Calculate the error bound. (Round your answer to two decimal places.)
Part (e)
What will happen to the level of confidence obtained if 1,000 males are surveyed instead of 45? Why?
The confidence interval will increase in size, because an increase in sample size decreases variability, which means a larger interval will be needed to capture the true population mean.
The confidence interval will decrease in size, because an increase in sample size increases variability, which means a smaller interval will be enough to capture the true population mean.
The confidence interval will decrease in size, because an increase in sample size decreases variability, which means a smaller interval will be enough to capture the true population mean.
The confidence interval will increase in size, because an increase in sample size increases variability, which means a larger interval will be needed to capture the true population mean.
Transcribed Image Text: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 72 inches. The sample standard deviation is 2.9 inches. + Part (a) Part (b) Part (c) O Part (d) Construct a 95% confidence interval for the population mean height of males of this country. (i) State the confidence interval. (Round your answers to two decimal places.) (ii) Sketch the graph. C.L. = (iii) Calculate the error bound. (Round your answer to two decimal places.) Part (e) What will happen to the level of confidence obtained if 1,000 males are surveyed instead of 45? Why? The confidence interval will increase in size, because an increase in sample size decreases variability, which means a larger interval will be needed to capture the true population mean. The confidence interval will decrease in size, because an increase in sample size increases variability, which means a smaller interval will be enough to capture the true population mean. The confidence interval will decrease in size, because an increase in sample size decreases variability, which means a smaller interval will be enough to capture the true population mean. The confidence interval will increase in size, because an increase in sample size increases variability, which means a larger interval will be needed to capture the true population mean.
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