To find the interval containing the middle 95% of the data, we need to use the concept of standard deviation and the properties of a normal distribution.

1. First, understand that for a normal distribution, approximately 95% of the data falls within 2 standard deviations of the mean. This is known as the 95% confidence interval.

2. Next, calculate the lower and upper bounds of this interval. To do this, subtract and add 2 standard deviations from the mean.

Lower bound = Mean - 2*(Standard Deviation)
Upper bound = Mean + 2*(Standard Deviation)

3. Substitute the given values into these formulas:

Lower bound = 0.254 - 2*(0.060) = 0.134
Upper bound = 0.254 + 2*(0.060) = 0.374

So, the approximate interval containing the middle 95% of the data is from 0.134 to 0.374.

Question

To find the interval containing the middle 95% of the data, we need to use the concept of standard deviation and the properties of a normal distribution.

1. First, understand that for a normal distribution, approximately 95% of the data falls within 2 standard deviations of the mean. This is known as the 95% confidence interval.

2. Next, calculate the lower and upper bounds of this interval. To do this, subtract and add 2 standard deviations from the mean.

Lower bound = Mean - 2*(Standard Deviation)
Upper bound = Mean + 2*(Standard Deviation)

3. Substitute the given values into these formulas:

Lower bound = 0.254 - 2*(0.060) = 0.134
Upper bound = 0.254 + 2*(0.060) = 0.374

So, the approximate interval containing the middle 95% of the data is from 0.134 to 0.374.

Knowee AI · Accepted Answer

To find the interval containing the middle 95% of the data, we need to use the concept of standard deviation and the properties of a normal distribution.

1. First, understand that for a normal distribution, approximately 95% of the data falls within 2 standard deviations of the mean. This is known as the 95% confidence interval.

2. Next, calculate the lower and upper bounds of this interval. To do this, subtract and add 2 standard deviations from the mean.

Lower bound = Mean - 2*(Standard Deviation)
Upper bound = Mean + 2*(Standard Deviation)

3. Substitute the given values into these formulas:

Lower bound = 0.254 - 2*(0.060) = 0.134
Upper bound = 0.254 + 2*(0.060) = 0.374

So, the approximate interval containing the middle 95% of the data is from 0.134 to 0.374.

The simulation resulted in a mean of 0.254 and a standard deviation of 0.060. Based on the simulation, what is the approximate interval containing the middle 95% of the data?

Question

Solution

Similar Questions

Upgrade your grade with Knowee