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
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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: [________]
**Transcription for Educational Website**

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**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:**

\[ \text{Test Statistic} \quad \_\_\_\_\_\_ \]

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*End of Transcription*
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*
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