7. A researcher is in terested in testing whether there is a di fference in mean

Question

7. A researcher is in terested in testing whether there is a di fference in mean systoloic blood pressuree (SYSTOLIC) for different levels of marital status (MARITAL-STATUS). For the MARITAL-STATUS variable, M married, S single, W- widowed, D divorced. The researcher produces the Minitab output at the end of this test. Test the hypothesis Ho : 1 = 2 = 3 = 4 vs H1 : . j for at least one pair (i, j) using the 5% significance level. (a) Reject Ho since 12.13 is greater than 2.9223 (b) Do not reject Ho since.431 is greater than.05 (c) Reject Ho since 6.68 is greater than 3.451 (d) Reject Ho since 5.76 is greater than 2.7581 (e) Reject Ho since 19.39 is greater than 3.451

Explanation / Answer

The complete ANOVA table is shown below:

The critical value of F at alpha=0.05 and df1=3 and df2=62 is 2.76.

Since F=5.76 > 2.76, reject H0.

The correct option is (d).

Source DF SS MS F-value Marital-Status k-1=4-1=3 11669-9127=2542 2542/3=847.33 847.33/147.2=5.76 Error 9127/147.2=62 9127 147.2 Total 3+62=65 11669

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