Question

Suppose that there are 1,000 students in College U and the mean credit hours completed is 30 and the standard deviation is 5. You randomly select 100 students. Based on this sample, the mean credit hours completed is 28 and the standard deviation is 7. In this example, the value of σ is:

Answer 1

The value of σ (sigma) represents the population standard deviation. In this example, we are given the sample mean and standard deviation for a random sample of 100 students. To find the value of σ for the population of 1,000 students, we can use the formula σ = σx / √n, where σx is the sample standard deviation and n is the sample size. Plugging in the given values, we find that σ is 0.7.

Step-by-step explanation:

The value of σ (sigma) represents the population standard deviation. In this example, we are given the sample mean and standard deviation for a random sample of 100 students. However, we need to find the value of σ for the population of 1,000 students. To do this, we can use the formula:

σ = σx / √n

Where σx is the sample standard deviation and n is the sample size. Plugging in the given values, we have:

σ = 7 / √100 = 7 / 10 = 0.7

Therefore, the value of σ is 0.7.