SOLUTION: 3. The commercial manager of a radio station wants to determine whether the mean length of commercials on her station is equal to 24 seconds. A sample of 41 commercials had a mean

Question 1159718: 3. The commercial manager of a radio station wants to determine whether the mean length of commercials on her station is equal to 24 seconds. A sample of 41 commercials had a mean life of 26.20 seconds. The standard deviation of all commercials at this station is 7.29 seconds.
Assuming the population distribution of commercials to be normal:
(a) Find the value of the test statistic, rounded to two decimal places?
(b) Would you reject the null hypothesis in this test, using a significance level of 1%?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
2 way test
test statistic is a t(0.995, df=40), with critical value 2.704, (reject Ho if |t|>2.704)
t=(x bar-mean)/s/sqrt(n)
=(26.20-24)/7.29/sqrt(41)
t=1.93
fail to reject Ho, p-value is 0.06
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