Question

12. (15pts) Do wome Day? Independent simple random snmples of ench were selecte as follows. nverage spend differnent amounts buying gifts on Valentine's and the summary statistics are n and men on Winnen i,-90, si = 30, ni = 15. Men: 110,2-25,n2-10 ovido sufficient evidence to conchnde that women and men erent amount on Valentine's Day? Assume the population standard deviations At a 5% significance level, do the data p n average are equal and the populations are normal. (a) Set up the hypotheses. (Cirele the correct answer.) (b) Calculate the test statistic. (c) Find the critical value(s) and indicate the rejection and non-rejection regions. (d) Will the null hypothesis be rejected?_

Answer 1

To Test :-

H₀ :-  

H₁ :-  

Option 1 is correct

Test Statistic :-

Test Criteria :-

Reject null hypothesis if

Result :- Fail to Reject Null Hypothesis

Conclusion :- Accept Null Hypothesis

There is no sufficient evidence to support the claim that men and women on average spend different amount of gifts on valentine's day.