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Mary, the counselor, wants to test whether there is any meaningful difference in depression scores among...

Mary, the counselor, wants to test whether there is any meaningful difference in depression scores among women and men clients of hers. She has 13 women clients and 14 men clients. The mean depression score of men clients is 4.5, while that of women is 5.3. The pooled standard error is 0.5 of the two groups. Is there any gender difference in depression levels among her women and men clients?

  1. Indicate the null and research hypothesis.
  2. What test do you do to test the null hypothesis above, among independent-sample t-test, paired-sample t-test, or one-sample t-test?
  3. What is the t-statistics?
  4. What is the d.f. for the test?
  5. Do you reject the null hypothesis? - Use the t-table on p. 163
  6. So, is there a statistically significant difference between women and men clients of Mary for their depression scores?

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