An evaluation was recently performed on brands and data werecollected that classified each brand as being in the technology orfinancial institutions sector and also reported the brand value.The results in terms of value? (in millions of? dollars) are shownin the accompanying data table. Complete parts? (a) through?(c).
A) Assuming the population variances are? equal, is thereevidence that the mean brand value is different for the technologysector than for the financial institutions? sector? (Use ?=0.05?.)Determine the hypotheses. Let ?1 be the mean brand value for thetechnology sector and ?2 be the mean brand value for the financialinstitutions sector. Choose the correct answer below
-Find the test statistic
-Find the p-Value
b. Repeat? (a), assuming that the populationvariances are not equal.
c. Compare the results of? (a) and? (b).
Technology | Financial Institutions |
255 | 577 |
359 | 836 |
417 | 806 |
476 | 889 |
492 | 998 |
564 | 976 |
634 | 1022 |
631 | 1074 |