Question

The Graduate Management Admission Council (GMAC) conducted an extensive and representative survey of first-year students in MBA programs. This study reported that the mean age of first-year MBA students was 27 years. A random sample of 45 first-year MBA students at a particular Eastern school had a mean age of 27.6 years and a standard deviation of 1.5 years. Is this sufficient evidence, at the 0.01 level, that the mean age of all first-year MBA students at this school is greater than the GMAC reported mean age?

1-Hypothesis test for one population mean (unknown population standard deviation)

2-Confidence interval estimate for one population mean (unknown population standard deviation)

3-Hypothesis test for population mean from paired differences

4-Confidence interval estimate for population mean from paired differences

5-Hypothesis test for difference in population means from two independent samples

6-Confidence interval estimate for difference in population means from two independent samples

7-Hypothesis test for one population proportion

8-Confidence interval estimate for one population proportion

9-Hypothesis test for difference between two population proportions

10-Confidence interval estimate for difference between two population proportions

Answer 1

correct option is:

1-Hypothesis test for one population mean (unknown population standard deviation)

below are the test details":

null hypothesis: HO: μ		=	27
Alternate Hypothesis: Ha: μ		>	27
0.01 level with right tail test and n-1= 44 df, critical t=				2.414
Decision rule :reject Ho if test statistic t>2.414
	population mean μ=	27
	sample mean 'x̄=	27.600
	sample size   n=	45.00
	sample std deviation s=	1.500
	std error 'sx=s/√n=	0.2236
	test stat t ='(x-μ)*√n/sx=	2.683

since test statistic falls in rejection region we reject null hypothesis
we have sufficient evidence to conclude that the mean age of all first-year MBA students at this school is greater than the GMAC reported mean age