In 2015, the average duration of long-distance telephone calls from a certain town was 9.4 minutes. A telephone company wants to perform a test to determine whether this average duration of long-distance calls has changed. Twenty calls, originating from the town, was Course Name and Code –randomly selected and the mean duration was 10.2 minutes with a standard deviation of 4.8 minutes. a) Using a 1% level of significance, Complete the following: Give the null and alternative hypotheses of this test. ] ii. Determine the critical value(s) of this test. iii. Compute the value of the test statistic

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In 2015, the average duration of long-distance telephone calls from a certain town was 9.4 minutes. A telephone company wants to perform a test to determine whether this average duration of long-distance calls has changed. Twenty calls, originating from the town, was Course Name and Code –randomly selected and the mean duration was 10.2 minutes with a standard deviation of 4.8 minutes.

  1. a) Using a 1% level of significance, Complete the following:
  2. Give the null and alternative hypotheses of this test.

] ii. Determine the critical value(s) of this test.

iii. Compute the value of the test statistic

  1. State the decision rule
  2. Give your decision based on the available sample evidence.

] vi. Hence, state your conclusion.

] b) Construct the 99% confidence interval for the population mean duration of the long-distance calls from the town

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