Question

NOW, imagine we selected the following individuals from a different real estate group in the company Student Their Research Methods II Grades E 10 F 12 G 7 Н 8 10. With your discussion group, tell me if this new sample of agents (E, F, G, and H) differ significantly from what you would expect given the population of whole company. Hint: It might help to work through the eight steps again, but all I need to see for this question #10 is you APA write-up.

Answer 1

For agents A,B,C,D, we are to compute Z test, which I have done in MINITAB.

For the total number of home sales for 2018, we find the population mean to be 6.366667 and population standard deviation to be 2.613852

One-Sample Z: Number of homes sold in 2018

Test of μ = 6.36667 vs ≠ 6.36667
The assumed standard deviation = 2.61385

Variable N Mean StDev SE Mean 95% CI Z P
Number of homes sold in 4 7.75 1.71 1.31 (5.19, 10.31) 1.06 0.290

As the p-value is greater than 0.05, thus we fail to reject the null hypothesis at 5% level of significance and hence we can conclude at 5% level of significance, that this sample doesnot differ significantly from the given popoulation.

For the new sample after being included in the previous sample, a Z test is again conducted.

One-Sample Z: Number of homes sold in 2018

Test of μ = 6.36667 vs ≠ 6.36667
The assumed standard deviation = 2.61385

Variable N Mean StDev SE Mean 95% CI Z P
Number of homes sold in 8 8.500 2.000 0.924 (6.689, 10.311) 2.31 0.021

As the p-value is less than 0.05, thus we freject the null hypothesis at 5% level of significance and hence we can conclude at 5% level of significance, that this sample differs significantly from the given popoulation.