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Use the Minitab display to test the claims. Use the =0.05 significance level. Th

ID: 3317695 • Letter: U

Question

Use the Minitab display to test the claims. Use the =0.05 significance level. The sample data are SAT scores on the verbal and math portions of SAT-I.

Analysis of Variance for SAT SourceGenderVer/MathInteractionErrorTotalDF1113841SS52452607531514375772465813MS5245260753151410427F5.030.583.02P0.0310.450.091


1. Test the claim that SAT scores are not affected by an interaction between gender and test (verbal/math).

(a) The Ftest statistic is  .

(b) The P-value is  .

(c) Does there appear to be a significant effect from the interaction between gender and test?

A. No
B. Yes

2. Test the claim that gender has an effect on SAT scores.

(a) The Ftest statistic is  .

(b) The P-value is  .

(c) Is there sufficient evidence to support the claim that gender has an effect on SAT scores?

A. No
B. Yes

3. Test the claim that the type of test (math/verbal) has an effect on SAT scores.

(a) The Ftest statistic is  .

(b) The P-value is  .

(c) Is there sufficient evidence to support the claim that the type of test has an effect on SAT scores?

A. Yes
B. No

Explanation / Answer

1)

(a) The Ftest statistic is 3.02.

(b) The P-value is 0.09.

(c) No.

2)

(a) The Ftest statistic is 5.03.

(b) The P-value is 0.031.

(c) Yes.

3)

(a) The Ftest statistic is 0.58.

(b) The P-value is 0.45.

(c) No.

Source DF SS MS F P Gender 1 52452 52452 5.030401841 0.031 Ver/Math 1 6075 6075 0.582622039 0.45 Interaction 1 31514 31514 3.022345833 0.091 Error 38 375772 10427 Total 41 465813