Question

8. A study found that the mean stopping distance of a school bus traveling 50 miles per hour was 264 feet. A group of automobile engineers decided to conduct a study of its school buses and found that for 20 buses, the mean stopping distance of the buses was 262.3 feet. The standard deviation of the population was 3 feet. Test the claim that the mean stopping distance of the company’s buses is actually less than 264 feet. Use a 0.01 significance level.

9. An article in a journal reports that 34% of American fathers take no responsibility for childcare. A researcher claims that the proportion is higher for fathers in the town of Littleton. A random sample of 234 fathers from Littleton yielded 96 who did not help with childcare. Test the researcher’s claim at a 0.05 significance level.

Answer 1

Question 8

To Test :-

H0 :-  

H1 :-  

Test Statistic :-


Z = -2.5342 - 2.53

Test Criteria :-
Reject null hypothesis if


Result :- Reject null hypothesis

There is sufficient evidence to support the claim that the mean stopping distance of the company’s buses is actually less than 264 feet.