1. value: 10.00 points A sample of 43 observations is selected from a normal population. The sample mean is 30, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level. H0 : 29 H1 : > 29 e. What is the p-value? (Round your answer to 4 decimal places.) p-value 2. value: 10.00 points At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, \"You can average $81 a day in tips.\" Assume the population of daily tips is normally distributed with a standard deviation of $3.46. Over the first 43 days she was employed at the restaurant, the mean daily amount of her tips was $82.20. At the 0.01 significance level, can Ms. Brigden conclude that her daily tips average more than $81? e. What is the p-value? (Round your answer to 4 decimal places.) p-value 3. value: 10.00 points The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 36 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 40 sales representatives reveals that the mean number of calls made last week was 43. The standard deviation of the sample is 6.4 calls. Using the 0.050 significance level, can we conclude that the mean number of calls per salesperson per week is more than 36? H0 : 36 H1 : > 36 1. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic 5. value: 10.00 points The following information is available. H0 : 220 H1 : < 220 A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level. b. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) H0 when z < Reject c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Value of the test statistic e. What is the p-value? (Round your answer to 4 decimal places.) p-value 6. value: 10.00 points Given the following hypotheses: H0 : 10 H1 : > 10 A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation 3. Using the .05 significance level: a. State the decision rule. (Round your answer to 3 decimal places.) Reject H0 if t > b. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic 7. value: 10.00 points Given the following hypotheses: H0 : = 400 H1 : 400 A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level: a. State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) Reject H0 when the test statistic is the interval ( , outside b. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic )