[Solution]University of Phoenix -QUANTATIVE 351 -A sample of 35 observations is selected from a normal population

A sample of 35 observations is selected from a normal population. The sample mean is 26, and the populationstandard deviation is 4. Conduct the following…

A sample of 35 observations is selected from a normal population. The sample mean is 26, and the populationstandard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level.H0 : μ ≤ 25H1 : μ > 25a. 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?Do not rejectRejectThere isevidence to conclude that the population mean is greater than 25.(Click to select)e. What is the p-value? (Round your answer to 4 decimal places.)p-valueAt the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average$72 a day in tips.” Assume the population of daily tips is normally distributed with a standard deviation of $2.45.Over the first 34 days she was employed at the restaurant, the mean daily amount of her tips was $73.07. At the0.10 significance level, can Ms. Brigden conclude that her daily tips average more than $72?a. State the null hypothesis and the alternate hypothesis.H0: μ >72 ; H1: μ = 72H0: μ = 72 ; H1: μ ≠ 72H0: μ ≥ 72 ; H1: μ < 72H0: μ ≤ 72 ; H1: μ > 72b. 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-valueThe Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claimsthat the sales representatives make an average of 40 sales calls per week on professors. Several reps say that thisestimate is too low. To investigate, a random sample of 38 sales representatives reveals that the mean number ofcalls made last week was 41. The standard deviation of the sample is 2.6 calls. Using the 0.025 significance level,can we conclude that the mean number of calls per salesperson per week is more than 40?H0 : μ ≤ 40H1 : μ > 401. 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 40 per week.(Click to select)A United Nations report shows the mean family income for Mexican migrants to the United States is $27,150 peryear. A FLOC (Farm Labor Organizing Committee) evaluation of 30 Mexican family units reveals a mean to be$29,500 with a sample standard deviation of $11,150. Does this information disagree with the United Nationsreport? Apply the 0.01 significance level.a. State the null hypothesis and the alternate hypothesis.H0: μ =H1: μ ≠b. State the decision rule for .01 significance level. (Negative amounts should be indicated by a minus 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 : μ ≥ 220H1 : μ < 220A sample of 64 observations is selected from a normal population. The sample mean is 215, and the populationstandard deviation is 15. Conduct the following test of hypothesis using the .025 significance level.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 your answer to 2decimal 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 youranswer 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 : μ ≤ 10H1 : μ > 10A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the samplestandard 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)evidence to conclude that the(Click to select)population mean is greater than 10.Given the following hypotheses:H0 : μ = 400H1 : μ ≠ 400A random sample of 12 observations is selected from a normal population. The sample mean was 407 and thesample 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 3decimal 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?Do not reject

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