Consider the following means and sample sizes for two independent samples (with the samples being denoted...

Consider the following means and sample sizes for two independent samples (with the samples being denoted by the subscripts "_X" and "_Y"): M_X = 6.286, M_Y= 1.973, n_X= 16, n_Y= 16. If the standard error (s_Difference) is 2.256, what is the the upper boundary of the corresponding 95% confidence interval? Please use a typical null hypothesis that predicts no differences between the two populations when computing your answer. When calculating your answer, please ensure that you subtract the mean for group Y from the mean for group X (i.e., M_X - M_Y). Please also retain three decimal places for all steps (if relevant) and provide three decimal places when reporting your answer.

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Expert Solution

Now , the degrees of freedom is ,

The critical value is ,

; From t-table

Therefore , the upper boundary of the corresponding 95% confidence interval is ,

Upper bound =

orchestra answered 1 year ago

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