The instructor wanted to determine if SAT scores differ by gender in the SAT coaching class. She randomly selected four males and four females from all of the students that completed the SAT coaching class and compared their final SAT score. Student 1 2 3 4 Male final SAT score 920 830 960 910 Female final SAT score 1010 800 1000 980 For a two-sample t test using these data, use the SPSS software to determine the approximate value of the test statistic t: 0.75 42.5 56.5 75.0
Added by Edward R.
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David N.
The scores of men on the Math SAT follow a normal distribution; so do those of women. It is reasonable to assume that the standard deviation of the two scores is equal. Let μ1 (respectively, μ2) denote the average math SAT score of men (respectively, women). A random sample of 20 men was selected. The average math SAT score of the men selected was 607.8 with a standard deviation of 48.76. Another random sample of 23 women was selected (independently of the sample of men). The average math SAT score of the women selected was 543.71 with a standard deviation of 53.1. Obtain a 94% confidence interval for μ1 - μ2
Madhur L.
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