A report states that adults 18- to 24- years-old send and receive 128 texts every day. Suppose we take a sample of 25- to 34- year-olds to see if their mean number of daily texts differs from the mean for 18- to 24- year-olds. (a) State the null and alternative hypotheses we should use to test whether the population mean daily number of texts for 25- to 34-year-olds differs from the population daily mean number of texts for 18- to 24-year-olds. (Enter != for # as needed.) Ho: u = 128 Ha: u! = 128 (b) Suppose a sample of thirty 25- to 34-year-olds showed a sample mean of 118.3 texts per day. Assume a population standard deviation of 33.17 texts per day. Compute the p-value. (Round your answer to four decimal places.) p-value = -1.60 X (c) With a = 0.05 as the level of significance, what is your conclusion? Reject Ho. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-olds. Do not reject Ho. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-olds. Reject Ho. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-olds. Do not reject Ho. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-olds. (d) Repeat the preceding hypothesis test using the critical value approach. State the null and alternative hypotheses. (Enter != for # as needed.) Ho: Ha: Find the value of the test statistic. (Round your answer to two decimal places.)Find the value of the test statistic. (Round your answer to two decimal places. ) State the critical values for the rejection rule. (Use a = 0.05. Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic s test statistic 2 State your conclusion. Reject Ho. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-olds. Do not reject Ho. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year- Reject Ho. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-olds. Do not reject Ho. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-olds
