The mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sample mean of 139.4 mg. (a) Write the hypotheses for a two-tailed test of the claimed potassium content. (b) Assuming a known
standard deviation of 2.00 mg, calculate the z test statistic to test the manufacturer's claim. (c) At the 10 percent level of
significance (a = 10), does the sample contradict the manufacturer's claim? (d) Find the p-value.
Calculate the test statistic and p-value for each sample.