Suppose that 10 observations are drawn from a normal population whose variance is 64 . The observations are: 58, 62, 45, 50, 59, 65, 39, 40, 41, and 52 . Test at the 10% level of significance to determine if there is enough evidence to conclude that the population mean is greater than 45
H0: ? = 45, H1: ? > 45
Test statistic: z = 2.41
p-value = 0.008
Reject H0 . Yes, there is enough statistical evidence at the 10% significance level to conclude that the population mean is greater than 45.
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