c. What is the probability that one randomly selected person drinks between 16.5 and 17.4 ounces of coffee per day? d. For the 35 people, find the probability that the average coffee consumption is between 16.5 and 17.4 ounces of coffee per day. f. Find the 1QR for the average of 35 coffee drinkers. Q1 ounces Q3 ounces IQR: ounces II II

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Parts c, d, and f

**Normal Distribution of Coffee Consumption**

The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 6.5 ounces. A sample of 35 randomly selected people is surveyed. Round all answers to 4 decimal places where possible.

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**Questions:**

**c.** What is the probability that one randomly selected person drinks between 16.5 and 17.4 ounces of coffee per day?

[Text Box]

---

**d.** For the 35 people, find the probability that the average coffee consumption is between 16.5 and 17.4 ounces of coffee per day.

[Text Box]

---

**f.** Find the Interquartile Range (IQR) for the average of 35 coffee drinkers.

- **Q1:** [Text Box] ounces
- **Q3:** [Text Box] ounces
- **IQR:** [Text Box] ounces

---

**Notes on Analysis:**

- To determine probabilities in a normal distribution, we use z-scores and standard normal distribution tables or software.
- The IQR (Interquartile Range) is calculated as Q3 - Q1, where Q1 and Q3 are the first and third quartiles, respectively.
Transcribed Image Text:**Normal Distribution of Coffee Consumption** The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 6.5 ounces. A sample of 35 randomly selected people is surveyed. Round all answers to 4 decimal places where possible. --- **Questions:** **c.** What is the probability that one randomly selected person drinks between 16.5 and 17.4 ounces of coffee per day? [Text Box] --- **d.** For the 35 people, find the probability that the average coffee consumption is between 16.5 and 17.4 ounces of coffee per day. [Text Box] --- **f.** Find the Interquartile Range (IQR) for the average of 35 coffee drinkers. - **Q1:** [Text Box] ounces - **Q3:** [Text Box] ounces - **IQR:** [Text Box] ounces --- **Notes on Analysis:** - To determine probabilities in a normal distribution, we use z-scores and standard normal distribution tables or software. - The IQR (Interquartile Range) is calculated as Q3 - Q1, where Q1 and Q3 are the first and third quartiles, respectively.
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