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For the numerical questions below, express your answers in four
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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 ??

Answer:

Answer

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?

Answer:

Answer

Part F) What is the p-value?

Answer:

Answer

 







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