(a) We would like to estimate the difference between the true mean driving speed

Question

(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

12

to be (12, 19). Provide an interpretation of this confidence interval.


(b) We conduct a matched pairs t test 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.

Explanation / Answer

a) the given interval does not contain 0. this means that mu1 and mu 2 are not the same. hence we reject the null hypothesis. It also tells us that the average value will fall between 12 and 19 95% of the time.

b) p value is > 0.05, we accept the null hypothesis.

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.