A random sample of 100 observations from a normal population whose standard deviation is 50 produced a mean of 75 . Does this statistic provide sufficient evidence at the 5% level of significance to infer that the population mean is not 80?
H0: ? = 80 vs. H1: ? ? 80
Rejection region: | z | > z.025 = 1.96
Test statistic: z = -1.0
Conclusion: Don't reject H0 . Insufficient evidence at the 5% level to say the population mean differs from 80.
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