QUESTION 1:
3. [3/6 Points] DETAILS PREVIOUS ANSWERS ASWSBE14 9.E.010. 1/2 Submissions Used M You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho: MS 25 Ha: M > 25 A sample of 40 provided a sample mean of 26.1. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) 1.16 (b) Find the p-value. (Round your answer to four decimal places.) p-value = 0.1230 (c) At a = 0.01, state your conclusion. O Reject Ho. There is sufficient evidence to conclude that M > 25. O Reject Ho. There is insufficient evidence to conclude that u > 25. Do not reject Ho. There is sufficient evidence to conclude that u > 25. O Do not reject Ho. There is insufficient evidence to conclude that u > 25. X (d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic s 1.16 test statistic 2 2.33 State your conclusion. O Reject Ho. There is sufficient evidence to conclude that M > 25. Reject Ho. There is insufficient evidence to conclude that u > 25. Do not reject Ho. There is sufficient evidence to conclude that u > 25. O Do not reject Ho. There is insufficient evidence to conclude that M > 25. X[7/8 Points] DETAILS PREVIOUS ANSWERS ASWSBE14 9.E.017. 1/2 Submissions Used You may need to use the appropriate appendix table or technology to answer this question. 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 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 = 0.1096 (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. 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. O Reject H. 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.) u = 128 H. u! = 128 Find the value of the test statistic. (Round your answer to two decimal places.) -1.601 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 1.96 x test statistic 2 1.96 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- 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. O Reject H . 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[419 Points] PREVIOUS ANSWERS AS'WSBE14 9.E.025. 1I2 Submissions Used You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: u a 45 H3: )4
