The mean potassium content of a popular sports drink is listed
as 146 mg in a...
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The mean potassium content of a popular sports drink is listedas 146 mg in a 32-oz bottle. Analysis of 28 bottles indicates asample mean of 145.5 mg.
(a)
State the hypotheses for a two-tailed test of the claimedpotassium content.
a.
H0: ? = 146 mg vs. H1:? ? 146 mg
b.
H0: ? ? 146 mg vs. H1:? > 146 mg
c.
H0: ? ? 146 mg vs. H1:? < 146 mg
a
b
c
(b)
Assuming a known standard deviation of 1.9 mg, calculate thez test statistic to test the manufacturer’s claim.(Round your answer to 2 decimal places. A negative valueshould be indicated by a minus sign.)
  Test statistic
 Â
(c)
At the 5 percent level of significance (? = 0.05) does thesample contradict the manufacturer’s claim?
 Â
Decision Rule: Reject H0 (Click toselect)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
 Â
The sample (Click to select)does not contradictcontradicts themanufacturer's claim.
(d)
Find the p-value. (Round intermediatecalculations to 2 decimal places. Round your answer to 4 decimalplaces.)
  p-value
 Â
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