Question
The mean potassium content of a popular sports drink is listed as 138 mg in a...
The mean potassium content of a popular sports drink is listed as 138 mg in a 32-oz bottle. Analysis of 40 bottles indicates a sample mean of 136.9 mg?
| State the hypotheses for a two-tailed test of the claimed potassium content. | |
| a. | H0: μ = 138 mg vs. H1: μ ≠ 138 mg |
| b. | H0: μ ≤ 138 mg vs. H1: μ > 138 mg |
| c. | H0: μ ≥ 138 mg vs. H1: μ < 138 mg |
|
Assuming a known standard deviation of 1.8 mg, calculate the z test statistic to test the manufacturer’s claim. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) |
| Test statistic |
|
At the 5 percent level of significance (α = 0.05) does the sample contradict the manufacturer’s claim? |
|
|
Decision Rule: Reject H0 if: |
Find the p-value
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