A random sample of 40 observations of a random variable X. and a random sample of 25

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A random sample of 40 observations of a random variable X. and a random sample of 25 observations of a random variable Y. are taken. The sample means and unbiased estimates are:

x̅ = 13.6  y̅ = 11.2  sx = 6.3  sy = 7.1


A test is performed at a significance level of a% using the following hypotheses:

H0: µx – µy = 0

H1: µx – µy > 0


Given that H0 is not rejected, find the possible values of α.

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