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 detemine 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)2 = 56.43 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.

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Please help with answers for a, b, c and d

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
Σ(-3)2-56.43
a) Calculate the sample mean, i.
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.
Transcribed Image Text: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 Σ(-3)2-56.43 a) Calculate the sample mean, i. 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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