Pacific region population parameter
Setup: Define Pacific region population parameter, including hypothesis statements, and specify the appropriate test.
--Define Pacific population parameter.
--Write the null and alternative hypotheses. Note: Remember, the salesperson believes that his sales are higher.
--Specify name of the test is Pacific Region.
--Identify whether it is a left-tailed, right-tailed, or two-tailed test.
--Identify significance level.
-Data Analysis Preparations: Describe sample summary statistics, provide a histogram and summary, check assumptions, and find the test statistic and significance level.
--Provide the descriptive statistics (sample size, mean, median, and standard deviation).
--Provide a histogram of the sample.
--Describe the sample by writing a sentence describing the shape, center, and spread of the sample.
--Determine whether the conditions to perform identified test have been met.
-Calculations: Calculate the p value, describe the p value and test statistic in regard to the normal curve graph, discuss how the p value relates to the significance level, and compare the p value to the significance level to reject or fail to reject the null hypothesis.
-Determine the appropriate test statistic, then calculate the test statistic.
Note: This calculation is (mean – target)/standard error. In this case, the mean is the Pacific regional mean (Pacific), and the target is 275.
--Calculate the p value.
--Note: For right-tailed, use the T.DIST.RT function in Excel, left-tailed is the T.DIST function, and two-tailed is the T.DIST.2T function. The degree of freedom is calculated by subtracting 1 from the sample size.
--Choose your test from the following:
=T.DIST.RT([test statistic], [degree of freedom])
=T.DIST([test statistic], [degree of freedom], 1)
=T.DIST.2T([test statistic], [degree of freedom])
--Using the normal curve graph as a reference, describe where the p value and test statistic would be placed.
-Test Decision: Discuss the relationship between the p value and the significance level, including a comparison between the two, and decide to reject or fail to reject the null hypothesis.
--Discuss how the p value relates to the significance level.
--Compare the p value and significance level, and make a decision to reject or fail to reject the null hypothesis.
-Conclusion: Discuss how the test relates to the hypothesis and discuss the statistical significance.
--Explain in one paragraph how the test decision relates to the hypothesis and whether the conclusions are statistically significant.