In Example 8.3a, suppose that the average of the 5 values received is X = 8.5. In this case,

Since

it follows that the p-value is .576 and thus the null hypothesis H0 that the signal sent has value 8 would be accepted at any significance level α On the other hand, if the average of the data values were 11.5, then the p-value of the test that the mean is equal to 8 would be

For such a small p-value, the hypothesis that the value 8 was sent is rejected.

Transcribed Image Text:

5 4 = .559