8. Midwives claim that a water birth reduces the amount of pain the mother perceives. To test this theory, one midwife asks six of her clients who had a water birth and eight of her clients who did not have a water birth to rate their pain on a scale of 1 to 10. The mean pain score of mothers who had a water birth was a 7.0 with a standard deviation of 1.2. The mean pain score of mothers who did not have a water birth was 9.0 with a standard deviation of 0.9. Construct and interpret an 80% confidence interval for the true difference between the pain scores of mothers who had a water birth and mothers who did not. Assume that the variances of the two populations are not equal.
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