# Question: A random sample of size n 2 is taken

A random sample of size n = 2 is taken to test whether a normal population has the mean µ = 0.

(a) If the observed sample values are x1 and x2 with x1 > x2 > 0, show that the statistic for the one-sample t-test can be written as

(b) If the decimal point is erroneously moved one place to the right when recording x1, find an expression for t, the corresponding value of the t statistic, and verify that 1< tt < t.

(a) If the observed sample values are x1 and x2 with x1 > x2 > 0, show that the statistic for the one-sample t-test can be written as

(b) If the decimal point is erroneously moved one place to the right when recording x1, find an expression for t, the corresponding value of the t statistic, and verify that 1< tt < t.

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