Answer :
Let's break down the question and find the solution step by step.
To begin with, we are dealing with some given data related to baby elephants and their weights. Here's how we can approach this:
1. Understanding the given data:
- We have an empirical mean, which involves the number of measurements:
- The empirical mean is calculated based on 200 measurements.
- Each measurement is taken with a mean value of 2.25.
- There's also a factor of 1500 given.
2. Empirical Percentage Calculation:
- To find a meaningful percentage related to "about as," we multiply the number of measurements (200) by the mean per measurement (2.25).
- This gives us: [tex]\(200 \times 2.25 = 450.0\)[/tex].
3. Understanding the probability of weight ranges:
- We need to find out the percentage of baby elephants that weigh between a certain range.
- It's given that:
- 2.5% of baby elephants weigh less than 150 pounds.
- 2.5% of baby elephants weigh more than 230 pounds.
4. Calculating elephants within a specific weight range:
- We're interested in knowing about baby elephants that fall within the weight range of 156 to 230 pounds.
- To find this, we need to use the concept of complementary probability:
- Since we know that 2.5% weigh less than 150 pounds and 2.5% weigh more than 230 pounds, it means 95% of elephants are within the 150 to 230 pounds range.
- This range includes our target range of 156 to 230 pounds, which closely aligns with the given data constraints.
5. Final Results:
- The percentage calculated above simplifies the solution:
- The empirical calculation gives us a value of 450.
- 95% of the baby elephants weigh between 156 to 230 pounds.
Therefore, based on the given instructions and analysis, we achieve:
- A calculated empirical value of 450.
- 95% of baby elephants weigh between 156 and 230 pounds.
To begin with, we are dealing with some given data related to baby elephants and their weights. Here's how we can approach this:
1. Understanding the given data:
- We have an empirical mean, which involves the number of measurements:
- The empirical mean is calculated based on 200 measurements.
- Each measurement is taken with a mean value of 2.25.
- There's also a factor of 1500 given.
2. Empirical Percentage Calculation:
- To find a meaningful percentage related to "about as," we multiply the number of measurements (200) by the mean per measurement (2.25).
- This gives us: [tex]\(200 \times 2.25 = 450.0\)[/tex].
3. Understanding the probability of weight ranges:
- We need to find out the percentage of baby elephants that weigh between a certain range.
- It's given that:
- 2.5% of baby elephants weigh less than 150 pounds.
- 2.5% of baby elephants weigh more than 230 pounds.
4. Calculating elephants within a specific weight range:
- We're interested in knowing about baby elephants that fall within the weight range of 156 to 230 pounds.
- To find this, we need to use the concept of complementary probability:
- Since we know that 2.5% weigh less than 150 pounds and 2.5% weigh more than 230 pounds, it means 95% of elephants are within the 150 to 230 pounds range.
- This range includes our target range of 156 to 230 pounds, which closely aligns with the given data constraints.
5. Final Results:
- The percentage calculated above simplifies the solution:
- The empirical calculation gives us a value of 450.
- 95% of the baby elephants weigh between 156 to 230 pounds.
Therefore, based on the given instructions and analysis, we achieve:
- A calculated empirical value of 450.
- 95% of baby elephants weigh between 156 and 230 pounds.
