According to a study, brain weights of men in country A are normally distributed with mean 1.56 kg and standard deviation 0.12 kg. Apply the Complete parts (a) through (d). a. Complete the sentence "Approximately 68% of the men have brain weights between kg and kg." Approximately 68% of the men have brain weights between 1.44 kg and 1.68 kg. (Type integers or decimals. Do not round) b. Complete the sentence "Approximately 95% of the men have brain weights between kg and Approximately 95% of the men have brain weights between 1.32 kg and 1.8 kg. (Type integers or decimals. Do not round) c. Complete the sentence "Approximately 99.7% of the men have brain weights between kg and Approximately 99.7% of the men have brain weights between kg and kg. (Type integers or decimals. Do not round) kg." kg."

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### Understanding Brain Weights Using the Empirical Rule

According to a study, brain weights of men in country A are normally distributed with a mean of 1.56 kg and a standard deviation of 0.12 kg. By applying the empirical rule (also known as the 68-95-99.7 rule), we can complete the following sentences to better understand the distribution of brain weights.

#### (a)
Complete the sentence:
"Approximately 68% of the men have brain weights between ____ kg and ____ kg."

**Answer:**
Approximately 68% of the men have brain weights between **1.44 kg** and **1.68 kg**.  
*(Type integers or decimals. Do not round)*

#### (b)
Complete the sentence:
"Approximately 95% of the men have brain weights between ____ kg and ____ kg."

**Answer:**
Approximately 95% of the men have brain weights between **1.32 kg** and **1.8 kg**.  
*(Type integers or decimals. Do not round)*

#### (c)
Complete the sentence:
"Approximately 99.7% of the men have brain weights between ____ kg and ____ kg."

**Answer:**
Approximately 99.7% of the men have brain weights between **1.2 kg** and **1.92 kg**.  
*(Type integers or decimals. Do not round)*

---

### Explanation of Graphs or Diagrams
There are no visible graphs or diagrams within the image. The questions are based on textual completion using the given data and empirical rule context. If diagrams relevant to this topic were present, they might typically include a normal distribution curve illustrating the ranges (±1σ, ±2σ, ±3σ) around the mean.
Transcribed Image Text:### Understanding Brain Weights Using the Empirical Rule According to a study, brain weights of men in country A are normally distributed with a mean of 1.56 kg and a standard deviation of 0.12 kg. By applying the empirical rule (also known as the 68-95-99.7 rule), we can complete the following sentences to better understand the distribution of brain weights. #### (a) Complete the sentence: "Approximately 68% of the men have brain weights between ____ kg and ____ kg." **Answer:** Approximately 68% of the men have brain weights between **1.44 kg** and **1.68 kg**. *(Type integers or decimals. Do not round)* #### (b) Complete the sentence: "Approximately 95% of the men have brain weights between ____ kg and ____ kg." **Answer:** Approximately 95% of the men have brain weights between **1.32 kg** and **1.8 kg**. *(Type integers or decimals. Do not round)* #### (c) Complete the sentence: "Approximately 99.7% of the men have brain weights between ____ kg and ____ kg." **Answer:** Approximately 99.7% of the men have brain weights between **1.2 kg** and **1.92 kg**. *(Type integers or decimals. Do not round)* --- ### Explanation of Graphs or Diagrams There are no visible graphs or diagrams within the image. The questions are based on textual completion using the given data and empirical rule context. If diagrams relevant to this topic were present, they might typically include a normal distribution curve illustrating the ranges (±1σ, ±2σ, ±3σ) around the mean.
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