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. (a) State the hypotheses for a two-tailed test of the claimed potassium content.
a. H0: μ = 142 mg vs. H1: μ ≠ 142 mg
b. H0: μ ≤ 142 mg vs. H1: μ > 142 mg
c. H0: μ ≥ 142 mg vs. H1: μ < 142 mg
a
b
c
(b) 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. A negative value should be indicated by a minus sign.)
Test statistic-
(c) At the 10 percent level of significance (α = 0.1) does the sample contradict the manufacturer’s claim?
Decision Rule: Reject H0 (Click to select)if z > + 1.645 or if z < -1.645if z < + 1.645 or if z < -1.645if z < + 1.645 or if z > -1.645
The sample (Click to select)contradictsdoes not contradict the manufacturer's claim.
(d) Find the p-value. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.)
p-value