The national average of college students on a test of sports trivia is 50 with a standard deviation of 5. A sportscaster is interested in whether BC students know less about sports than the national average. The sportscaster tests a random sample of 25 BC students and obtains a mean of 48 Use an alpha level of 0.05.
1. Using symbols state the null hypothesis
n = 25
Now, the value of test static can be found out by following
formula:
Since
= 0.05, the boundaries of the critical region are -Z_0.05 =
-1.6452 and we note that Z0 falls in the critical region.
Therefore, H0 is rejected, and we concluded that the mean is not
equal to 50.0
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