# Statistics Homework

A telephone company claims that the mean duration of all long-distance phone calls made by its residential customers is 10 minutes. A random sample of 100 long-distance calls made by its residential customers taken from the records of this company showed that the mean duration of calls for this sample is 9.20 minutes. The population standard deviation is known to be 3.80 minutes. Use 2% significance level to test that the mean duration of all long-distance calls made by residential customers is different from 10 minutes. Answer the following questions.

i. Identify the claim and state the H_{0} and H_{1}.

ii. Find the critical value.

iii. Calculate the test statistic.

iv. Calculate the p-value.

v. Make a decision to reject or fail to reject the H_{0}. vi. Interpret the decision in the context of the original claim.

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