1) Why is there a difference between the calculation for the sample standard deviation and population standard deviation?

1) Why is there a difference between the calculation for the sample standard deviation and population standard deviation?

A) The adjustment to the denominator of the sample variance formula results in an underestimate of the population variance.

B) Each sample will have a variance that is equal to the population variance.

C) No sample will have a variance that is exactly equal to the population variance.

D) The adjustment to the denominator of the sample variance formula results in a more accurate estimate of the population variance.

2) A population of scores has σ = 10. If 5 points are added to every score in the population, then the new standard deviation would be ________.

A) σ = 5

B) σ = 2

C) σ = 10

D) σ = 15

3) On an exam with a mean of μ = 70, you have a score of X = 75. Which of the following values for the standard deviation would give you the highest position relative to the rest of the class?