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For the numerical questions below, express your answers in four decimal places.

Past experience indicates that monthly data use from mobiles is normally distributed with a mean of 879 MB and a population standard deviation of 703 MB. After an advertising campaign aimed at showing the benefits of a new nationwide 4G network, the manager of a telecommunications firm took a random sample of 16 customers and recorded their monthly data usage. The manager found the sample average to be 1079.36 MB. The manager is looking to conduct a statistical test at the 5% level of significance to determine whether the campaign increased the amount that customers download.

Part A) What is the null hypothesis?

H0: ? ? 879

H0: ? > 879

H0: ? = 1079.36

H0: ? ? 1079.36

H0: X?? 879

Part B) What is the alternate hypothesis?

H1: ? > 879

H1: ? ? 879

H1: ? ? 1079.36

H0: ? > 1079.36

H0: X?> 879

Part C) What is the value of ??

Part D) What is the sampling distribution of the sample mean?

The sampling distribution is normal since the population standard deviation is known.

The sampling distribution is a student-t since the population standard deviation is known.

There is not enough information to answer this question.

Part E) What is the value of the test statistic?

Part F) What is the p-value?

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This question was answered on: Feb 21, 2020

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