Question: A researcher wants to study the average miles run per day for marathon runners. In testing the hypotheses:H 0 :=25 miles vs.H 1 :25 miles,
A researcher wants to study the average miles run per day for marathon runners. In testing the hypotheses:H0:=25 miles vs.H1:25 miles, a random sample of 36 marathon runners drawn from a normal population whose standard deviation is 10, produced a mean of 22.8 miles weekly. Using a 5% significance level, which of the following set of values for the z test statistic and the critical value are correct? Hint: keep in mind that sinceH1is defined as25, this represents a two-tailed hypothesis test. This means that the 5% significance actually has 2.5% of the area under the curve in each tail. In order to find the critical value for this problem, you need to use 0.025 as the basis for determining the critical value from the z score table.
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