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An educator claims that the average salary of substitute teachers in school districts in Allegheny County,...

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Statistics

An educator claims that the average salary of substituteteachers in school districts in Allegheny County, Pennsylvania, isless than $60 per day. A random sample of eight school districts isselected, and the daily salaries (in dollars) are shown$60   $56 $60   $55   $70 $55$60   $55. Is there enough evidence to support theeducators 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 & Explanation Solved by verified expert
3.9 Ratings (636 Votes)

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
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