SOLUTION: 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 o

Question 1026063: 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?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho: mean is 80
Ha: mean is not 80
alpha=0.05 P{reject Ho|Ho true}
test statistic is a t df=99
critical value is |t|> 1.99
t= (75-80)/(50/sqrt(100)
t=-50/50=-1
fail to reject Ho. The population mean may be 80.
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