Statistics problem ?!?

Posted on 2016-03-10 18:44:00 in Statistics by ARON

A normally distributed population has a mean μ = 80. A researcher believes that the mean is really less than what was reported. She obtains a simple random sample of size n=22, finds her sample mean x(with the line over it), to be 76.9. And sample Standard deviation S to be 8.5. Use the classical approach to hypothesis testing with a level of significance a= 0.05 to test her claim 

A) write the null and alternative hypothesis 

B) what type of test should be performed 

C) label the significance level, a on the curve 

D) find the critical value t, that goes with the a, and label it on the curve and shade the curve appropriately 

e) calculate the test statistic, t0, and label it on your curve 

f) should the researcher accept or reject the null hypothesis

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