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The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishingcompany, claims that the sales representatives make an average of 42 sales calls per week on professors.Several reps say that this estimate is too low. To investigate, a random sample of 37 sales representativesreveals that the mean number of calls made last week was 44. The standard deviation of the sample is2.9 calls. Using the 0.100 significance level, can we conclude that the mean number of calls persalesperson per week is more than 42?H0 : ? ? 42H1 : ? > 421. Compute the value of the test statistic. (Round your answer to 3 decimal places.)Value of the test statisticA United Nations report shows the mean family income for Mexican migrants to the United States is$28,540 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 28 Mexican family unitsreveals a mean to be $34,120 with a sample standard deviation of $10,050. 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 a minussign. Round your answers to 3 decimal places.)Reject H0 if T is not betweenc.andCompute the value of the test statistic. (Round your answer to 2 decimal places.)Value of the test statisticThe following information is available.H0 : ? ? 220H1 : ? < 220A 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. What is the decision rule? (Negative amount should be indicated by a minus sign. Round youranswer to 2 decimal places.)Reject H0 when z 10A 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 statisticGiven the following hypotheses:H0 : ? = 400H1 : ? ? 400A 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 is (Outside/Inside) the interval _____,_______b.Compute the value of the test statistic. (Round your answer to 3 decimal places.)Value of the test statistic _________
