Question

The mean potassium content of a popular sports drink is listed as 148 mg in a 32-oz bottle. Analysis of 40 bottles indicates a sample mean of 147.4 mg.

(a) State the hypotheses for a two-tailed test of the claimed potassium content.

1. H₀: μ = 148 mg vs. H₁: μ ≠ 148 mg
2. H₀: μ ≤ 148 mg vs. H₁: μ > 148 mg
3. H₀: μ ≥ 148 mg vs. H₁: μ < 148 mg

• a

• b

• c

(b) Assuming a known standard deviation of 2.9 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 2 percent level of significance (α = .02) does the sample contradict the manufacturer’s claim?

Decision Rule: Reject H₀ if z > +2.326 or if z < -2.326

The sample does 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 =

Need help with parts B and D

Answer 1