Use the sample mean in Example 8.12 to test the hypothesis that the tours in Example 8.10 take at least 60 minutes, H0:   60, at the 5 per cent level of significance.

H0:   60 minutes H1:  < 60 minutes The level of significance,  = 0.05 The sample mean is 61.87 and in Example 8.12 we found that the probability that it comes from a sampling distribution with a mean of 60 and a standard error of 0.85 was 0.0139 or 1.39 per cent. However, because the null hypothesis includes the possibility that the population mean is larger than 60 we cannot reject it.