Question

(1 - 3) Two factories produce the same type of batteries. Sample data have been collected to test whether the two factories produce identical product. The battery life (in hours) of each factory is shown below: Battery from Factory 1: 70, 80, 73, 77,75,71,70, 75, 74, 72 Battery from Factory 2: 85, 76, 82, 77, 81, 73, 69, 71,85, 76, 80, 75 (10%) Before conducting the t-test, we first need to know whether the standard deviation of two samples are the same or not. State the valid hypotheses for the variance comparison test (Design your alternative hypothesis so that the test statistic Fo > 1) I. a. Ho: b. HI 2. (20%) Find Fo and & to conduct the F-test for a significance level of 90%. 3. (20%) Now, based on the conclusion of F-test, conduct the mean comparison test at significance level of 90%

Answer 1

Solution :

Given that

Sample data have been collected to test whether the two factories produce identical product.

Solutien et, of batvias 3-69 39 69 o'49 10.89 56 25 2.25 Qo 25 TO 3 3 6 f5 85 53.25. Q. 89 2- 430

2 s:/H可1_ Sx. 冫3-199 y 3-3-5 → standad duktien S51962 To tast Test statisttc :-

Test Gitevia <- 0. ti-o.la (9,מי ะ о.зуз o3 lus bekuton the val 3896 and 0343, Cendubsie Decisien bused en Paua Pvalue -24P ( f 70,379 ) et mu Cendlusion feil to

Test Giteria ;_ 7

pecsien based en Pvalae P-valu P(t -ola) 057 Conclusie evidna.