Solution :
= 68.7
M =66.7
=18.8
n =54
This is the left tailed test .
The null and alternative hypothesis is ,
H0 : = 68.7
Ha : < 68.7
Test statistic = z
= (M - ) / / n
= (66.7 -68.7) / 18.8 / 54
= -0.782
Test statistic = z = -0.782
P(z < -0.782 ) = 0.2171
P-value = 0.2171
= 0.002
P-value >
0.2171 > 0.02
Fail to reject the null hypothesis .
There is not sufficient evidence to warrent rejection of the claim that the population mean is less than 68.7
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