Independent random samples of the heights of adult males living in two countries yielded the following results: \(n=12, \bar{x}=65.7\) inches, \(s_{x}=4\) inches and \(m=15, \bar{y}=68.2\) inches, \(s_{y}=3\) inches. Find an approximate confidence interval for the difference \(\mu_{X}-\mu_{Y}\) of the means of the populations of heights. Assume that \(\sigma_{X}^{2}=\sigma_{Y}^{2}\)

Equation Transcription:

Text Transcription:

n=12, bar x=65.7

s_x=4

m=15,bar y=68.2

s_y=3

mu_X-mu_Y

sigma_X^2=sigma_Y^2

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Independent random samples of the heights of adult males living in two countries yielded the following results: n=12, =65.7 inches, sx=4 inches and m =15, =68.2 inches, =3 inches. Find an approximate 98% confidence interval for the difference of the means of the populations of heights. Assume that .