The mean potassium content of

The mean potassium content of
The mean potassium content of a popular sports drink is listed as 139 mg in a 32-oz bottle. Analysis of 24 bottles indicates a sample mean of 137.5 mg.

(a)State the hypotheses for a two-tailed test of the claimed potassium content. a.H0: ?= 139 mg vs. H1: ? ? 139 mgb.H0: ? ? 139 mg vs. H1: ? > 139 mgc.H0: ? ? 139 mg
vs. H1: ? <139 mg abc

(b)Assuming a known standard deviation of 2.3 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 1 percent level of significance (? = 0.01) does the sample contradict the manufacturer’s claim?

Decision Rule: Reject H0 (Click to select)

if z > + 2.576 or if z < -2.576

if z < + 2.576 or if z < -2.576

if z < + 2.576 or if z > -2.576

The sample (Click to select)

contradicts

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