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#19. The sample heights collected randomly from nine supermodels have the mean of 70.0 in, and the standard deviation of 1.5 in. Another sample set randomly collected from 40 non- supermodels shows the mean of 63.2 in. and the standard deviation of 2.7 in. Assume that we are using 0.05 significance level to test the claim that the mean height of the supermodels is greater than that of non-supermodels. Also assume that two groups of samples are independer and Determine the test statistic. (b) (c) Construct the 90% confidence interval for the difference between the mean heights of supermodels and non-supermodels. (a) Find the critical value. Draw the conclusion regarding the original claim. (d)
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