n admissions director wants to estimate the mean age of all students enrolled at a college.  The estimate must be within 1.7 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 20years of age.  Using the minimum sample size with a 90% confidence, does it seem likely that the population mean could be within the 10% of the sample mean?  Within 11% of the sample mean?  Explain

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Section 6.1

(please help with TI-84 calculator when possible)

An admissions director wants to estimate the mean age of all students enrolled at a college.  The estimate must be within 1.7 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 20years of age.  Using the minimum sample size with a 90% confidence, does it seem likely that the population mean could be within the 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 ___________ students.

(Round to nearest whole number)

(b) The 90% confidence interval is( _________ , ____________ ).  It (1) ___________ seem like that the population mean could within 10% of the sample mean because 10%off from the sample mean would fall (2) ___________ the confidence interval.  It (3) ___________ seem likely that the population mean could be within 11% of the sample mean because 11%off from the sample mean would fall (4) ____________.

1) does or does not

2) outside or inside

3) does or does not

4) inside or outside

 

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