# QNT/351 Week 3

A sample of 30 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.05 significance level.H0 : μ ≤ 20H1 : μ > 20a.Is this a one- or two-tailed test?H0, when z > evidence to conclude that the population mean is greater than 20.e.What is the p-value? (Round your answer to 4 decimal places.)p-valueH0. The mean number of calls is than 36 per week.——————————————————————————————————————————————–A United Nations report shows the mean family income for Mexican migrants to the United States is $27,300 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 20 Mexican family units reveals a mean to be $28,500 with a sample standard deviation of $9,651. Does this information disagree with the United Nations report? Apply the 0.01 significance level.a.State the null hypothesis and the alternate hypothesis.H0: μ =. This data the report.————————————————————————————————————-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 population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level.a.Is this a one- or two-tailed test?H0 when z < H0. There is evidence to conclude that the 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 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 ([removed], [removed]).b.Compute the value of the test statistic. (Round your answer to 3 decimal places.)Value of the test statistic[removed]c.What is your decision regarding the null hypothesis?[removed]Reject[removed]Do not reject