The mean potassium content of a popular sports drink is listed as 149 mg in a 32-oz bottle. Analysis of 22 bottles indicates a sample mean of 148.4 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content. a. He: H=149 mg vs. H₁: #149 mg b. He: 149 mg vs. H₁: >149 mg c. He: 2149 mg vs. H₁: <149 mg O a Ob Oc (b) Assuming a known standard deviation of 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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(d) Find the p-value. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.)
p-value
Transcribed Image Text:(d) Find the p-value. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) p-value
The mean potassium content of a popular sports drink is listed as 149 mg in a 32-oz bottle. Analysis of 22 bottles indicates a sample
mean of 148.4 mg.
(a) State the hypotheses for a two-tailed test of the claimed potassium content.
a. He: = 149 mg vs. H₁: # 149 mg
b. He:
>149 mg
149 mg vs. H₁:
c. He: 2149 mg vs. H₁: <149 mg
O a
Ob
O
(b) Assuming a known standard deviation of 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
Transcribed Image Text:The mean potassium content of a popular sports drink is listed as 149 mg in a 32-oz bottle. Analysis of 22 bottles indicates a sample mean of 148.4 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content. a. He: = 149 mg vs. H₁: # 149 mg b. He: >149 mg 149 mg vs. H₁: c. He: 2149 mg vs. H₁: <149 mg O a Ob O (b) Assuming a known standard deviation of 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
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