Use the given sam le statistics to test the claim about the difference between t

Question

Use the given sam le statistics to test the claim about the difference between two population means ?1 and 1, at the gnen level of sig ?Sca ce a Claim ?? ?2, ?-? 01 Statistics. x1-68. st 5.1. n1" 40 and x2-63, s2 71, n2-55 Choose the correct null and alternative hypotheses below ?? ?12p2 (Claim) Ho ?? , ?2 (Claim) Ha ?12p2 (Clain) ? C. Ha ?12p2 (Claim) Determine the critical value(s). Round to three decimal places as neded Use a comma to separate answers as neoded Determine the rejection region Select the correct choice below, and, if necessary il in any answer boxes to complete your choice Round to three decimal places as needed ) oisek te seleca vour answeris

Explanation / Answer

Option B

H0: ?1 = ?2

Ha: ?1 ? ?2

SE = sqrt[ (s12/n1) + (s22/n2) ]

(s12/n1) = 0.6503

(s22/n2) = 0.9165

SE = 1.2517

significance level, alpha = 0.01

z-critical = -2.5758, 2.5758

Test statistic

z = [ (x1 - x2) - d ] / SE

z = 3.9945

p-value = 0.000032

Reject null hypothesis

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