In: Statistics and Probability
Sol:
Sol:
Its a hypothesis test for single mean
Null hypothesis
Ho:
Alternative hypothesis
Ha:
alpha=0.05
test statistic is
t=xbar-mu/s/sqrt(n)
t=(71-69.6)/(2.9326/sqrt(11))
t=1.5833
degrees of freedom=n-1=11-1=10
p value can be found in excel as
=T.DIST.RT(1.5833;10)
=0.072217708
p=0.0722(to 4decimals)
statistical decision:
p=0.0722
alpha=0.05
p>alpha
since p value is greater than alpha,Fail to reject null hypothesis
Accept Null hypothesis.
Conclusion:
There is no sufficient statistical evidence at 5% level of significance to conclude that the mean height for the young men at the university is larger than average.
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