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A telephone company claims that the mean duration of a long-distance phone calls made by its residential customers are 10 minutes. A random sample of 86 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. Test the claim that the mean duration of a long-distance phone calls is less than 10 minutes. Use a = 0.05. Answer the following questions. a. Identify the claim and state the Ho and H1. b. Find the critical value. c. Calculate the test statistic.

A telephone company claims that the mean duration of a long-distance phone calls made by its residential customers are 10 minutes. A random sample of 86 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. Test the claim that the mean duration of a long-distance phone calls is less than 10 minutes. Use a = 0.05. Answer the following questions. a. Identify the claim and state the Ho and H1. b. Find the critical value. c. Calculate the test statistic.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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A telephone company claims that the mean duration of a long-distance phone calls made by its residential customers are 10 minutes. A random sample of 86 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. Test the claim that the mean duration of a long-distance phone calls is less than 10 minutes. Use a = 0.05. Answer the following questions. a. Identify the claim and state the Ho and H1. b. Find the critical value. c. Calculate the test statistic. d. Make a decision to reject or fail to reject the Ho. e. Interpret the decision.
Transcribed Image Text:A telephone company claims that the mean duration of a long-distance phone calls made by its residential customers are 10 minutes. A random sample of 86 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. Test the claim that the mean duration of a long-distance phone calls is less than 10 minutes. Use a = 0.05. Answer the following questions. a. Identify the claim and state the Ho and H1. b. Find the critical value. c. Calculate the test statistic. d. Make a decision to reject or fail to reject the Ho. e. Interpret the decision.
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