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

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Question

Basic Math

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  
(c)

At the 5 percent level of significance (? = 0.05) does thesample contradict the manufacturer’s claim?

  
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
  
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  

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