a) Calculate the sample mean, x. b) Calculate the sample standard deviation c) 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. d) Construct the 99% confidence interval for the population mean duration of the long-distance calls from the town.
a) Calculate the sample mean, x. b) Calculate the sample standard deviation c) 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. d) Construct the 99% confidence interval for the population mean duration of the long-distance calls from the town.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Question 2
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 long-
distance calls has changed. Fifty calls, originating from the town, was randomly selected and the
following summary minutes.
Σx= 205
E(x - x)? = 56.43
a) Calculate the sample mean, &.
b) Calculate the sample standard deviation
c) 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.
d) Construct the 99% confidence interval for the population mean duration of the long-distance
calls from the town.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F900acad2-339c-4bca-8ace-980ad5fd116e%2F04ab69ae-4f88-481c-bb3d-a1f82be63082%2Foqsfpyk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 2
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 long-
distance calls has changed. Fifty calls, originating from the town, was randomly selected and the
following summary minutes.
Σx= 205
E(x - x)? = 56.43
a) Calculate the sample mean, &.
b) Calculate the sample standard deviation
c) 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.
d) Construct the 99% confidence interval for the population mean duration of the long-distance
calls from the town.
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