It is claimed that 10 year old boys and girls both have the sameaverage height (52 inches). A researcher studies 65 boys and findsthat their average height is 51.8 with a variance of 98. The 111girls in the study had an average height of 54.9 with a variance of123. Construct a 95% confidence interval for the difference in theheights of 10 year old boys and girls based on these samples. Doesthe confidence interval support the claim that 10 year old boys andgirls have the same average height?

Answer

1. -6.271 ? ?1 - ?2 ? .07117 This confidence intervaldoes not support the claim.
2. -6.271 ? p1 - p2 ? .07117 This confidence intervalsupports the claim.
3. -6.271 ? ?1 - ?2 ? -.07117 This confidence intervaldoes support the claim.
4. -6.271 ? ?1 - ?2 ? .07117 This confidence intervaldoes support the claim.

Answer rating: 100% (QA)

boy girl sample mean x 5180 5490 std deviation 990 1109 sample size n 65 111 Point estima... View the full answer