Q1- A sample of 31 observations is selected from a normal population. The sample mean is 30, and the

Q1- A sample of 31 observations is selected from a normal population. The sample mean is 30, and thepopulation standard deviation is 6. Conduct the following test of hypothesis using the 0.05 significancelevel.H0 : ? ? 27H1 : ? > 27a. Is this a one- or two-tailed test?"Two-tailed"-the alternate hypothesis is different from direction."One-tailed"-the alternate hypothesis is greater than direction.b. What is the decision rule? (Round your answer to 3 decimal places.)H0, when z >(Click to select)c. What is the value of the test statistic? (Round your answer to 2 decimal places.)Value of the test statisticd. What is your decision regarding H0?RejectDo not rejectThere isevidence to conclude that the population mean is greater than 27.(Click to select)e. What is the p-value? (Round your answer to 4 decimal places.)p-valueQ2- At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told,â€œYou can average $84 a day in tips.â€ Assume the population of daily tips is normally distributed with astandard deviation of $3.51. Over the first 46 days she was employed at the restaurant, the mean dailyamount of her tips was $86.54. At the 0.10 significance level, can Ms. Brigden conclude that her daily tipsaverage more than $84?a. State the null hypothesis and the alternate hypothesis.H0: ? ? 84 ; H1: ? < 84H0: ? >84 ; H1: ? = 84H0: ? = 84 ; H1: ? ? 84H0: ? ? 84 ; H1: ? > 84b. State the decision rule.Reject H1 if z < 1.28Reject H1 if z > 1.28Reject H0 if z < 1.28Reject H0 if z > 1.28c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)Value of the test statisticd. What is your decision regarding H0?Do not reject H0Reject H0e.What is the p-value? (Round your answer to 4 decimal places.)p-valueQ3- The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishingcompany, claims that the sales representatives make an average of 39 sales calls per week onprofessors. Several reps say that this estimate is too low. To investigate, a random sample of 25 salesrepresentatives reveals that the mean number of calls made last week was 40. The standard deviation ofthe sample is 3.8 calls. Using the 0.100 significance level, can we conclude that the mean number of callsper salesperson per week is more than 39?H0 : ? ? 39H1 : ? > 391. Compute the value of the test statistic. (Round your answer to 3 decimal places.)Value of the test statistic2.What is your decision regarding H0?H0. The mean number of calls is(Click to select)than 39 per week.(Click to select)Q4- A United Nations report shows the mean family income for Mexican migrants to the United States is$31,140 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 25 Mexican family unitsreveals a mean to be $38,690 with a sample standard deviation of $12,240. Does this informationdisagree with the United Nations report? Apply the 0.01 significance level.a. State the null hypothesis and the alternate hypothesis.H0: ? =H1: ? ?b. State the decision rule for .01 significance level. (Negative amounts should be indicated by aminus sign. Round your answers to 3 decimal places.)Reject H0 if t is not betweenandc. Compute the value of the test statistic. (Round your answer to 2 decimal places.)Value of the test statisticd. Does this information disagree with the United Nations report? Apply the 0.01 significance level.. This data(Click to select)the report.(Click to select)The following information is available.H0 : ? ? 220H1 : ? < 220Q5- A sample of 64 observations is selected from a normal population. The sample mean is 215, and thepopulation standard deviation is 15. Conduct the following test of hypothesis using the .025 significancelevel.a. Is this a one- or two-tailed test?One-tailed testTwo-tailed testb. What is the decision rule? (Negative amount should be indicated by a minus sign. Round youranswer to 2 decimal places.)H0 when z <(Click to select)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 statisticd. What is your decision regarding H0?RejectDo not rejecte. What is the p-value? (Round your answer to 4 decimal places.)p-valueGiven the following hypotheses:H0 : ? ? 10H1 : ? > 10Q6- A random sample of 10 observations is selected from a normal population. The sample mean was 12and 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 statisticc. What is your decision regarding the null hypothesis?H0. There is(Click to select)population mean is greater than 10.Q7- Given the following hypotheses:H0 : ? = 400H1 : ? ? 400evidence to conclude that the(Click to select)A random sample of 12 observations is selected from a normal population. The sample mean was 407and 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 youranswers to 3 decimal places.)Reject H0 when the test statistic isthe interval (,(Click to select)b. Compute the value of the test statistic. (Round your answer to 3 decimal places.)Value of the test statisticc. What is your decision regarding the null hypothesis?RejectDo not reject