In 2015, the average duration of long-distance telephone calls from a certain town was 3.9 minutes.A telephone company wants to perform a test to determine whether this average duration of longdistance calls has changed. Fifty calls, originating from the town, was randomly selected and the following summary minutes. ∑ ? = 205 ∑(? − ?̅)            2 = 56.43 a) Using the p value approach at the 1% level of significance, test whether the mean duration of long-distance calls from the town had increased.  b) Construct the 99% confidence interval for the population mean duration of the long-distance calls from the town.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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In 2015, the average duration of long-distance telephone calls from a certain town was 3.9 minutes.A telephone company wants to perform a test to determine whether this average duration of longdistance calls has changed. Fifty calls, originating from the town, was randomly selected and the
following summary minutes.

∑ ? = 205 ∑(? − ?̅)            2 = 56.43

a) Using the p value approach at the 1% level of significance, test whether the mean duration of
long-distance calls from the town had increased. 

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

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