Question

Suppose a developer of tax preparation software would like to determine if the median tax refund last year differs among various regions of a country. A random sample of taxpayer​ refunds, in​ dollars, from four regions were recorded and are shown in the table below.

Region 1 (in dollars)	Region 2	Region 3	Region 4
388	330	644	1054
1278	924	605	330
356	350	1670	574
361	739	433	87
1716	590	1618	201

Calculate the test statistic.

The test statistic is _________. (Round to two decimal places)

Calculate p value. ____________. (Round to three decimal places)

Determine if the null hypothesis should be rejected or not rejected.

Answer 1

We can directly use here one way anova by Excel.

Step1 ) Enter data in Excel.

Step 2) Data >>Data analysis >> One way anova >>Select data >>click on label in first row >>ok

F test statistic value is =1.20

P value is =0.341

P value is = 0.341 > 0.05

Therefore,   the null hypothesis should not rejected.