The mean potassium content of a popular sports drink is listed as 145 mg in a 32-oz bottle. Analysis of 26 bottles indicates a sample mean of 144.4 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content. (Choose right answer)
a. H0: ? = 145 mg vs. H1: ? ? 145 mg
b. H0: ? ? 145 mg vs. H1: ? > 145 mg
c. H0: ? ? 145 mg vs. H1: ? < 145 mg
(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 10 percent level of significance (? = 0.1) does the sample contradict the manufacturer’s claim?
Decision Rule: Reject H0 (Click to select)
if z > + 1.645 or if z < -1.645
if z < + 1.645 or if z < -1.645
if z < + 1.645 or if z > -1.645
The sample does not contradict/contradicts 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