An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.6 years of the population mean. Assume the population of ages is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.8 years. (b) The sample mean is 21 years of age. Using the minimum sample size with a 90% level of confidence, does it seem likely that the population mean could be within 10% of the sample mean? within 11% of the sample mean? Explain. A) The minimum sample size required to construct a 90% confidence interval is _____4_____ students. B) The 90% confidence interval is (_______ , _________). It (1) does or does not, seem likely that the population mean could be within 9% of the sample mean because 9% off rom the sample mean would fall (2) inside or outside the confidence interval. It (3) does or does not, seem likely that the population mean could be within 10% of the sample mean because 10% off from the sample mean would fall (4) outside or inside the confidence interval. (Round to 2 decimal places as needed)
An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.6 years of the population mean. Assume the population of ages is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.8 years. (b) The sample mean is 21 years of age. Using the minimum sample size with a 90% level of confidence, does it seem likely that the population mean could be within 10% of the sample mean? within 11% of the sample mean? Explain. A) The minimum sample size required to construct a 90% confidence interval is _____4_____ students. B) The 90% confidence interval is (_______ , _________). It (1) does or does not, seem likely that the population mean could be within 9% of the sample mean because 9% off rom the sample mean would fall (2) inside or outside the confidence interval. It (3) does or does not, seem likely that the population mean could be within 10% of the sample mean because 10% off from the sample mean would fall (4) outside or inside the confidence interval. (Round to 2 decimal places as needed)
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I need help with stats/2023, sorry I keep submitting confidence intervals, but I am having internet and computer issues, I appreciate your help.
An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within
normally distributed.
1.6
years of the population mean. Assume the population of ages is (a) Determine the minimum sample size required to construct a
90%
confidence interval for the population mean. Assume the population standard deviation is
1.8
years.(b) The sample mean is
21
years of age. Using the minimum sample size with a
90%
level of confidence, does it seem likely that the population mean could be within
10%
of the sample mean? within
11%
of the sample mean? Explain.A) The minimum sample size required to construct a 90% confidence interval is _____4_____ students.
B) The 90% confidence interval is (_______ , _________). It (1) does or does not, seem likely that the population mean could be within 9% of the sample mean because 9% off rom the sample mean would fall (2) inside or outside the confidence interval. It (3) does or does not, seem likely that the population mean could be within 10% of the sample mean because 10% off from the sample mean would fall (4) outside or inside the confidence interval.
(Round to 2 decimal places as needed)
Thank you
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