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Let 1 denote the average enjoyment of winter for McGill students from Quebec (on a scale of 1 to 10), and 2 the average enjoyment

Let 1 denote the average enjoyment of winter for McGill students from Quebec (on a scale of 1 to 10), and 2 the average enjoyment of winter for McGill students from outside the province. It is commonly believed that 1 is higher than 2. Ten enterprising MGCR students decide to test this theory. Each student independently collects data and tests the hypotheses

H0 : 1 = 2, Ha : 1 > 2

using a 5% significance level. If there is in fact no difference between 1 and 2, what is the probability that at least one of the ten students will (incorrectly) reject the null hypothesis?

The probability is closest to Multiple Choice:

A) 5% B) 10% C) 25% D) 40%

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