A random sample of 12 observations from one population revealed a sample mean of

Question

A random sample of 12 observations from one population revealed a sample mean of 25 and a sample deviation of 4.5. A random sample of 8 observations from another population revealed a sample mean of 30 and a sample standard deviation of 3.5. H0 : ?1 = ?2 H1 : ?1 ? ?2 At the .02 significance level, is there a difference between the population means? (a) State the decision rule. (Negative values should be indicated by a minus sign. Round your answer to 3 decimal places.) b) Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.) (c) Compute the test statistic.(Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

Explanation / Answer

Hi, If you like my answer rate me lifesaver first...that way only I can earn points. Thanks a) accept H1 if H0 is not true b) pooled variance = (11 * 4.5 ^2 + 7 * 3.5^2)/(11 + 7) = 17.14 c) test statistic = 5 /(17.14/12 + 17.14/8) ^0.5 = 2.645972 dof = 18 t-value = 2.552 So we reject H0 and accept H1: mean1 not equal to mean2

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