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A researcher wants to test whether the mean lengths of two species of trout are the...

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Basic Math

A researcher wants to test whether the mean lengths of twospecies of trout are the same. He obtains the weights of 10individuals of species A and 10 individuals of species B. Thesample mean weights are 12.3 kg and 14.3 kg, respectively, and thesample variances are 3.5 kg2 and 4.5kg2.Assume that the lengths are normally distributed.  

a. Should we retain the hypothesis that the population variancesare equal?

b. Should we retain the hypothesis that the population means areequal?

Answer & Explanation Solved by verified expert
4.3 Ratings (894 Votes)
Since the level of significance is not mentioned we take thedefault value 005a F TEST FORVARIANCESThe HypothesisH0 Ha The TestStatistic Since s22 is s12F s22s12 4535 12857The p Valueat F 12857 df1 9 df2    See Answer
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