The mean potassium content of a popular sports drink is listed as 142 mg in a 32

Question

The mean potassium content of a popular sports drink is listed as 142 mg in a 32-oz bottle. Analysis of 26 bottles indicates a sample mean of 140.9 mg.

Assuming a known standard deviation of 1.9 mg, calculate the z test statistic to test the manufacturer’s claim. (Round your answer to 2 decimal places. Negative value should indicated by a minus sign.)

Find the p-value. (Round your answer to 4 decimal places. Use a z-value taken to two decimal places in your calculations.)

The mean potassium content of a popular sports drink is listed as 142 mg in a 32-oz bottle. Analysis of 26 bottles indicates a sample mean of 140.9 mg.

Assuming a known standard deviation of 1.9 mg, calculate the z test statistic to test the manufacturer’s claim. (Round your answer to 2 decimal places. Negative value should indicated by a minus sign.)

Find the p-value. (Round your answer to 4 decimal places. Use a z-value taken to two decimal places in your calculations.)

Explanation / Answer

Alternative Hypothesis:
µ not equal to µ(hyp)

z Test
Test Statistic, z: -2.9521
Critical z: ±1.9600
P-Value: 0.0032

95% Confidence interval:
140.1697 < µ < 141.6303

(a) Test statistic is t = -2.95

(b) p- value = 0.0032

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