I am shopping for a dresser on Craigslist. I look at 30 dressers. I know the standard deviation of dresser prices is $20, and the mean cost of the dressers I look at is $80. I had been told that dressers should be $50.
(a) Write down the null and alternative hypotheses.
(b) What is the value of the test statistic?
(c) What is the p-value? Interpret this value.
(d) What is the rejection region if α = .04? (e) Interpret the result - do we accept or reject the null hypothesis.
(f) Create a 95% confidence interval for the true average cost of a dresser and interpret the confidence interval.
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