SOLUTION: In a labour management discussion it was brought up that workers at a certain large plant take on average 32.6 minutes to get to work. If a random sample of 60 workers took on the
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Question 1162464: In a labour management discussion it was brought up that workers at a certain large plant take on average 32.6 minutes to get to work. If a random sample of 60 workers took on the average 33.8 minutes with a standard deviation of 6.1 minutes, can we reject the null hypothesis u= 32.6 in a favor of the alternative hypothesis u > 32.6 at the 0.05 level of significance? ( Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Assuming normality and that observations used to estimate s come from normal distribution.
Ho: mu <=32.6
Ha: mu > 32.6
alpha=0.05 P{reject Ho|Ho true}
test statistic is a t 0.975 df=59
critical value is t>1.67
calculation is t=(x bar-mean)/s/sqrt(60)
=1.2* sqrt(60)/6.1
=1.52
fail to reject Ho.
p-value=0.066
