question archive An executive of a new telephone company wants to know whether the average length of evening long-distance telephone calls in a metropolitan area still equals 18
An executive of a new telephone company wants to know whether the average length of evening long-distance telephone calls in a metropolitan area still equals 18
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An executive of a new telephone company wants to know whether the average length of evening long-distance telephone calls in a metropolitan area still equals 18.1 minutes, as it did in the past. A simple random sample of 25 evening calls is to be used to find the answer at a significance level of α=0.05. After taking a sample of n = 25, the statistician finds a sample mean duration of calls of 17.2 minutes and sample variance of 4 minutes squared.
a) Formulate the null and alternative hypothesis.
b) What is the critical value and state the rejection rule?
c) What is the value of the test statistics?
d) What is the p-value for the test?
e) What is your conclusion?
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