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- September 13, 2020
- By menge

**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 399 MB and a population standard deviation of 359 MB. After an advertising campaign aimed at showcasing the new nationwide 4G network, the manager of a telecommunications firm took a random sample of 23 customers and recorded their monthly data usage. The manager found the sample average to be 451.4 MB. The manager is looking to conduct a statistical test at the 10% level of significance to determine whether the campaign has changed customers downloading habits.

**Part A) **What is the null hypothesis?

H0: ? = 399

H0: ? ? 399

H0: ? > 451.4

H0: ? = 451.4

H0: X?= 399

**Part B) **What is the alternate hypothesis?

H1: ? ? 399H1: ? = 399H1: ? ? 451.4H0: ? ? 451.4H0: X?? 399

**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?

________