Question

A leading manufacturing company claims that, its employees have 14 years’ average experience. A study on the experience of 10 randomly selected employees given in Dataset E. At α=0.10, is the number of years’ experience of the employees is really different than the company’s claim? (Use traditional testing of hypothesis).

	Years.of.Experience
1	14
2	13
3	18
4	11
5	19
6	13
7	15
8	13
9	15
10	12

Answer 1

null hypothesis: HO: μ		=	14
Alternate Hypothesis: Ha: μ		≠	14
0.1 level with two tail test and n-1= 9 df, critical t=				1.833
Decision rule :reject Ho if absolute value of test statistic|t|>1.833
	population mean μ=	14
	sample mean 'x̄=	14.300
	sample size    n=	10.00
	std deviation s=	2.541
	std error ='sx=s/√n=	0.8035
	test stat t ='(x-μ)*√n/sx=(14.3-14)/0.8035 =	0.373

since test statistic does not falls in rejection region we fail to reject null hypothesis

we do not have have sufficient evidence to conclude that the number of years’ experience of the employees is really different than the company’s claim