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(a) We would like to estimate the difference between the true mean driving speeds of teenagers and seniors.
(a) We would like to estimate the difference between the true mean driving speeds of teenagers and seniors. We measure the speeds (in km/h) of a random sample of 20 teenage drivers and 15 senior drivers and calculate a 95% confidence interval for μ1−μ2 to be (12, 19). Provide an interpretation of this confidence interval.
(b) We conduct a matched pairsttest to determine whether there is evidence that husbands are older than their wives on average. In a random sample of 25 married couples, the husbands were found to be an average of 2.2 years older than their wives. We conduct an appropriate hypothesis test and calculate a P-value of 0.0924. Provide an interpretation of this P-value.
