Section 6.1 (please help with TI-84 calculator commands when possible) An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.3 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

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Section 6.1 (please help with TI-84 calculator commands when possible)

An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within
1.3
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
8​%
of the sample​ mean? within
9​%
of the sample​ mean? Explain.
A). The minimum sample size required to construct a 90% confidence interval is _________ students. (Round to the nearest whole number)
 
B) The 90% confidence interval is ________ , _________ . It (1) does or does not. Seem likely that the population mean could bed within 8% of the sample mean because 8% off from the sample mean would fall (2) outside or inside the confidence interval.  It (3) does or does not seem likely that the population mean could be within 9% of the sample mean because 9% off from the sample mean would fall (4) inside or outside the confidence interval .   (Round to 2 decimal places as needed)
 
 
 
 
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