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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
I only need help with the last problem.
![(d) Find the p-value. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.)
p-value: [________]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7b9bc12-9bec-475d-bc99-e13d2a9b76e2%2F90de031e-2965-4841-a267-fd3e65283c33%2Fhkl85au_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(d) Find the p-value. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.)
p-value: [________]
![**Transcription for Educational Website**
---
**Potassium Content Analysis of a Sports Drink**
The average potassium content claimed for a popular sports drink is 149 mg per 32-oz bottle. A study conducted on 22 bottles found an actual average potassium content of 148.4 mg.
**(a) Hypothesis Testing**
Purpose: To establish hypotheses for a two-tailed test about the stated potassium content.
**Options for Hypotheses:**
- a. \( H_0: \mu = 149 \, \text{mg} \) vs. \( H_1: \mu \neq 149 \, \text{mg} \)
- b. \( H_0: \mu \le 149 \, \text{mg} \) vs. \( H_1: \mu > 149 \, \text{mg} \)
- c. \( H_0: \mu \ge 149 \, \text{mg} \) vs. \( H_1: \mu < 149 \, \text{mg} \)
**Select one:**
- \( \bigcirc \) a
- \( \bigcirc \) b
- \( \bigcirc \) c
**(b) Z Test Statistic Calculation**
Assumptions: The standard deviation is known to be 3 mg.
Calculate the z test statistic to evaluate the manufacturer's claim. Provide your answer rounded to two decimal places. (Note: Indicate negative values with a minus sign.)
**Enter the Test Statistic:**
\[ \text{Test Statistic} \quad \_\_\_\_\_\_ \]
---
*End of Transcription*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7b9bc12-9bec-475d-bc99-e13d2a9b76e2%2F90de031e-2965-4841-a267-fd3e65283c33%2Fcwkxazf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
---
**Potassium Content Analysis of a Sports Drink**
The average potassium content claimed for a popular sports drink is 149 mg per 32-oz bottle. A study conducted on 22 bottles found an actual average potassium content of 148.4 mg.
**(a) Hypothesis Testing**
Purpose: To establish hypotheses for a two-tailed test about the stated potassium content.
**Options for Hypotheses:**
- a. \( H_0: \mu = 149 \, \text{mg} \) vs. \( H_1: \mu \neq 149 \, \text{mg} \)
- b. \( H_0: \mu \le 149 \, \text{mg} \) vs. \( H_1: \mu > 149 \, \text{mg} \)
- c. \( H_0: \mu \ge 149 \, \text{mg} \) vs. \( H_1: \mu < 149 \, \text{mg} \)
**Select one:**
- \( \bigcirc \) a
- \( \bigcirc \) b
- \( \bigcirc \) c
**(b) Z Test Statistic Calculation**
Assumptions: The standard deviation is known to be 3 mg.
Calculate the z test statistic to evaluate the manufacturer's claim. Provide your answer rounded to two decimal places. (Note: Indicate negative values with a minus sign.)
**Enter the Test Statistic:**
\[ \text{Test Statistic} \quad \_\_\_\_\_\_ \]
---
*End of Transcription*
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman