Question

During a speed dating session, men and women rated each other on five attributes: ambition, sincerity,...

During a speed dating session, men and women rated each other on five attributes: ambition, sincerity, intelligence, fun, and shared interest. A difference mean was calculated as -0.35 by subtracting the scores in the following order: MALE RATINGS – FEMALE RATINGS. A confidence interval for this difference mean was calculated as:

-1.25 < μd < 0.55.

Can we support the claim that female ratings are consistently higher?

  • Yes, there is statistical significance to female ratings being higher.
  • No, there is not statistical significance to female ratings being higher.
  • It is impossible to determine if statistical significance exists with the given information.

Why or why not?

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Answer #1

Given that, A difference mean was calculated as -0.35 by subtracting the scores in the following order: MALE RATINGS – FEMALE RATINGS.

The confidence interval for this difference mean was calculated as: -1.25 < μd < 0.55

The null and alternative hypotheses are,

H0 : μd = 0

Ha : μd < 0

Since, mean difference = -0.35 is lies between -1.25 and 0.55, so we fail to reject the null hypothesis.

Answer : No, there, is not statistical significance to female ratings being higher.

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