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A sample of 16 observations selected from a population produced a mean of 82 and a...

A sample of 16 observations selected from a population produced a mean of 82 and a standard deviation of 14. Another sample of 18 observations selected from another population produced a mean of 75 and a standard deviation of 16. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%. What is the value of the observed test statistic, t?

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Answer #1

Sample size n, - 16 12 - 18 4,382 all 2=75 : 14 6 q = 16 / Hoil, = 42 Hi : M, > 4₂ 1 test Stretistics, t= Minella Vor 2 82-75

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