For the numerical questions below, express your answers in four decimal places.
Past experience indicates that average download times of an online newspaper via a browser on mobiles is normally distributed with a mean of 0.92 seconds and a population standard deviation of 0.74 seconds. 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 24 customers and recorded their average download times. The manager found the sample average to be 0.67 seconds. The manager is looking to conduct a statistical test at the 10% level of significance to determine whether the campaign lowered mean download times.
Part A) What is the null hypothesis?
H0: μ ≥ 0.92H0: μ < 0.92H0: μ = 0.67H0: μ ≥ 0.67H0: X̄≥ 0.92
Part B) What is the alternate hypothesis?
H1: μ < 0.92H1: μ ≥ 0.92H1: μ ≠ 0.67H0: μ < 0.67H0: X̄< 0.92
Part C) What is the value of α?
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