The mean potassium content of a popular sports drink is listed as 146 mg in a...

The mean potassium content of a popular sports drink is listed as 146 mg in a 32-oz bottle. Analysis of 28 bottles indicates a sample mean of 145.5 mg.

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

a.	H₀: μ = 146 mg vs. H₁: μ ≠ 146 mg
b.	H₀: μ ≤ 146 mg vs. H₁: μ > 146 mg
c.	H₀: μ ≥ 146 mg vs. H₁: μ < 146 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 5 percent level of significance (α = 0.05) does the sample contradict the manufacturer’s claim?

	Decision Rule: Reject H₀ (Click to select)if z > + 1.96 or if z < -1.96if z < + 1.96 or if z < -1.96if z < + 1.96 or if z > -1.96

	The sample (Click to select)does not contradictcontradicts 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

Expert Solution

milcah answered 1 year ago

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