Section 6.1 (please use TI-84 commands if possible) An admissions director wants to estimate the mean age of all students at a college.  THe estimate must be within 1.4 years of the population mean.  Assume the population of ages is normally distrubuted. (A) Determine the minimum sample size required to construct a 90% confidence interval for the population mean.  Assume the population standard deviation is 1.6 years. (Round to a whole number ) _______________ (B) The sample mean is 20 years of age.  Using the minimum sample size of a 90% level of confidence, does it seem likely that the population mean could be within 9% of the sample mean?  Within the 10% of the sample mean?  Explain (A) confidence interval of 90% ______________ (round to nearest whole number) (B) the 90% confidence interval is ___________, ________________ (1) It is  does or does not seem likely that the population mean could be within 9% of the sample mean because 9% off front he 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 10% of the sample mean because 10% off from the sample mean would fall (4) outside or inside the confidence interval. (Round to two decima places as needed)

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Author:Amos Gilat
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Section 6.1 (please use TI-84 commands if possible)

An admissions director wants to estimate the mean age of all students at a college.  THe estimate must be within 1.4 years of the population mean.  Assume the population of ages is normally distrubuted.

(A) Determine the minimum sample size required to construct a 90% confidence interval for the population mean.  Assume the population standard deviation is 1.6 years. (Round to a whole number ) _______________

(B) The sample mean is 20 years of age.  Using the minimum sample size of a 90% level of confidence, does it seem likely that the population mean could be within 9% of the sample mean?  Within the 10% of the sample mean?  Explain

(A) confidence interval of 90% ______________ (round to nearest whole number)

(B) the 90% confidence interval is ___________, ________________ (1) It is  does or does not seem likely that the population mean could be within 9% of the sample mean because 9% off front he 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 10% of the sample mean because 10% off from the sample mean would fall (4) outside or inside the confidence interval. (Round to two decima places as needed)

 

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