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?
________