The Statistics Department at a large university is interested in the difference in the ratings between male and female professors. The ratings are on a 1-5 scale. Suppose the male professors are the first sample while the female professors are the second. Using a confidence level of 95%, the confidence interval found was (−1.7,−1.2)(-1.7,-1.2). We are 95% confident that the ratings of the male professors are, on average, better than those of the female professors. We are 95% confident that the ratings of the female professors are, on average, better than those of the male professors. We are 95% confident that the ratings of the male professors are, on average, about the same as those of the female professors.

MATLAB: An Introduction with Applications
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The Statistics Department at a large university is interested in the difference in the ratings between male and female professors. The ratings are on a 1-5 scale. Suppose the male professors are the first sample while the female professors are the second.

Using a confidence level of 95%, the confidence interval found was (−1.7,−1.2)(-1.7,-1.2).
  • We are 95% confident that the ratings of the male professors are, on average, better than those of the female professors.
  • We are 95% confident that the ratings of the female professors are, on average, better than those of the male professors.
  • We are 95% confident that the ratings of the male professors are, on average, about the same as those of the female professors.
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