2. The level of blood glucose and diabetes in adults are related. Let X be a random variable measured in milligrams of glucose per deciliter (one-tenth of a liter) of blood for adults in the U.S. After a 12-hour fast, the random variable X has the following population parameters: Mean = 82 and standard deviation = 20 %3D A simple random sample of 45 adults is taken. Calculate the probability their average blood glucose level is between 84 and 87. A. 1.01 B. 0.2049 C. -0.2049 D. 0.8438

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**Blood Glucose Levels and Diabetes Relationship**

The level of blood glucose and diabetes in adults are related. Let's define X as a random variable measured in milligrams of glucose per deciliter (one-tenth of a liter) of blood for adults in the U.S. After a 12-hour fast, the random variable X has the following population parameters:

- **Mean (µ):** 82 
- **Standard Deviation (σ):** 20

A simple random sample of 45 adults is taken. Calculate the probability that their average blood glucose level is between 84 and 87.

**Options:**
- A. 1.01
- B. 0.2049
- C. -0.2049
- D. 0.8438

(Note: This is a multiple-choice question intended to apply knowledge of probability and statistics in evaluating blood glucose levels within a defined sample.)
Transcribed Image Text:**Blood Glucose Levels and Diabetes Relationship** The level of blood glucose and diabetes in adults are related. Let's define X as a random variable measured in milligrams of glucose per deciliter (one-tenth of a liter) of blood for adults in the U.S. After a 12-hour fast, the random variable X has the following population parameters: - **Mean (µ):** 82 - **Standard Deviation (σ):** 20 A simple random sample of 45 adults is taken. Calculate the probability that their average blood glucose level is between 84 and 87. **Options:** - A. 1.01 - B. 0.2049 - C. -0.2049 - D. 0.8438 (Note: This is a multiple-choice question intended to apply knowledge of probability and statistics in evaluating blood glucose levels within a defined sample.)
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