# population standard deviation

SOLUTION AT Australian Expert Writers

A sample of 37 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.

H0 : μ ≤ 26

H1 : μ > 26

a.

Is this a one- or two-tailed test?

H0, when z > evidence to conclude that the population mean is greater than 26. e.What is the p-value? (Round your answer to 4 decimal places.) At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $82 a day in tips.” Assume the population of daily tips is normally distributed with a standard deviation of $3.26. Over the first 44 days she was employed at the restaurant, the mean daily amount of her tips was $84.61. At the 0.02 significance level, can Ms. Brigden conclude that her daily tips average more than $82? a.State the null hypothesis and the alternate hypothesis. H0. The mean number of calls is than 39 per week. 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 units reveals a mean to be $34,120 with a sample standard deviation of $10,050. 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 ≥ 220 H1 : μ < 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. 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 = 400 H1 : μ ≠ 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 ([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 p-value[removed] p-value[removed] p-value [removed]

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