Twenty high school-aged students are randomly selected from three different scho

Question

Twenty high school-aged students are randomly selected from three different school districts: a district in the city, a district in the suburbs, and a district in a rural area. Each group of twenty students consisted of 10 boys and 10 girls. Each of the students was asked what price they paid for their last haircut. The datawere entered into SPSS and the two-way ANOVA output is shown below:

If the data were analyzed as a one-way ANOVA with six “treatments” corresponding to the six combinations of home region and gender, what would have been the value of the F statistic?

Price paid for last haircut 40 30 20 .. Student gender - 10 Fenale Mtale Rural Suburban Urban Student's home region Tests of Between-Subjects Effects Dependent Variable: Price paid for last haircut Type lII Sum of Squares 2674.005 703.583 231.803 2143.037 5752.427 df Sig Source SEX REGION SEX *REGION Error Corrected Total Mean Square 2674.005 351.791 115.901 39.686 67.379 8.864 2.920 2 062 54 59

Explanation / Answer

from the given output, the F statistic for region is 8.864.

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