Find the sample size needed to estimate the mean age of movie patrons such that it can be said with 95​%confidence that the sample mean is within 1.5 years of the population mean. Assume that σ=19.6 ​years, based on a previous report. Could the sample be obtained from one movie at one​ theater?         Question content area bottom Part 1 The required sample size is:   Part 2 Could the sample be obtained from one movie at one​ theater?     A. The sample should not be obtained from one movie at one​ theater, because that sample could be easily biased.​ Instead, a stratified sample of the broader population should be obtained.   B. The sample should not be obtained from one movie at one​ theater, because that sample could be easily biased.​ Instead, a cluster sample of the broader population should be obtained.   C. The sample should be obtained from one movie at one​ theater, because that sample is representative of the population.   D. The sample should not be obtained from one movie at one​ theater, because that sample could be easily biased.​ Instead, a simple random sample of the broader population should be obtained.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Find the sample size needed to estimate the mean age of movie patrons such that it can be said with 95​%confidence that the sample mean is within 1.5 years of the population mean. Assume that
σ=19.6 ​years, based on a previous report. Could the sample be obtained from one movie at one​ theater?
 
 
 
 

Question content area bottom

Part 1
The required sample size is:  
Part 2
Could the sample be obtained from one movie at one​ theater?
 
 
A.
The sample should not be obtained from one movie at one​ theater, because that sample could be easily biased.​ Instead, a stratified sample of the broader population should be obtained.
 
B.
The sample should not be obtained from one movie at one​ theater, because that sample could be easily biased.​ Instead, a cluster sample of the broader population should be obtained.
 
C.
The sample should be obtained from one movie at one​ theater, because that sample is representative of the population.
 
D.
The sample should not be obtained from one movie at one​ theater, because that sample could be easily biased.​ Instead, a simple random sample of the broader population should be obtained.
A random sample of 863 births in a state included 429 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.512. Do
these sample results provide strong evidence against that belief?
Construct a 95% confidence interval estimate of the proportion of boys in all births.
<p< (Round to three decimal places as needed.)
Do these sample results provide strong evidence against that belief?
A. There is not strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is contained within the 95% confidence interval.
B. There is strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is contained within the 95% confidence interval.
C. There is strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is not contained within the 95% confidence interval.
D. There is not strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is not contained within the 95% confidence interval.
Transcribed Image Text:A random sample of 863 births in a state included 429 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.512. Do these sample results provide strong evidence against that belief? Construct a 95% confidence interval estimate of the proportion of boys in all births. <p< (Round to three decimal places as needed.) Do these sample results provide strong evidence against that belief? A. There is not strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is contained within the 95% confidence interval. B. There is strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is contained within the 95% confidence interval. C. There is strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is not contained within the 95% confidence interval. D. There is not strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is not contained within the 95% confidence interval.
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