Question

An educator claims that the average salary of substitute teachers in school districts in Allegheny County, Pennsylvania, is less than $60 per day. A random sample of eight school districts is selected, and the daily salaries (in dollars) are shown $60   $56 $60   $55   $70 $55 $60   $55. Is there enough evidence to support the educators claim at =0.10?

Group of answer choices

A.P value=0.2765; fail to reject H₀

B.P value=0.2765; reject H₀

C.P value=0.3130; fail to reject H₀

D.P value=0.3130; reject H₀

Answer 1

null hypothesis: Ho:             μ		=	60
Alternate Hypothesis: Ha:μ		<	60
0.1 level with left tailed test and n-1= 7 df, critical t=			-1.41
Decision rule :                   reject Ho if test statistic t<1.415
	population mean μ=	60
	sample mean         x=	58.88
	sample size             n=	8
	sample std deviation s=	5.083
	std error sx=s/√n=	1.7972
	test stat t='(x-μ)*√n/s=	-0.626
	p value                                 =	0.2765

option A is correct

A.P value=0.2765; fail to reject H₀