Chapter 4 Quiz

A population is made up of N = 20 scores. The lowest score in this population is X = 10 and the highest is X = 25. Using the concept of real limits, identify the range for this population.

Given a sample of n = 12 scores, how many of these scores would be involved in calculating the range?

Given a sample of n = 18 scores, how many of these scores would be involved in calculating the sample variance?

Calculate the sum of squared deviations (SS) for the following sample.

Sample: 2, 3, 5, 10

Calculate the sum of squared deviations (SS) for the following population.

Population: 2, 2, 2, 6

Determine the value of SS (sum of squared deviations) for the following sample data.

Sample: 0, 0, 0, 2

Determine the value of SS (sum of squared deviations) for the following population data.

Population: 4, 5, 2, 7

Calculate SS for the set of scores shown below.

Scores: 7, 2, 0.

You are given a population with N = 10 scores, ΣX = 40, and ΣX² = 200. Determine SS for this population.

A population has SS= 12 and σ² = 4. How many scores are in the population?

You are studying a population with SS= 100 and ΣX² = 4. Determine the value of Σ(X – μ) for the population.

Calculate SS for the set of scores shown below.

Scores: 3, 3, 6, 2

You are studying a sample with n=4 scores, ΣX = 8, and ΣX² = 46. Determine the value SS for the sample.

You are studying a sample with n=6 scores, ΣX = 12, and ΣX² = 42. Determine the value SS for the sample.

You are studying a population with N=6 scores, ΣX = 18, and ΣX² = 84. Determine the value SS for the population.

Which symbol represents the sample variance?

Which symbol represents the standard deviation of a population?

A population with N = 80 scores has a mean of µ = 36 and a standard deviation of σ = 8. Calculate the population variance.

A sample with n = 25 scores has a mean of M = 20 and a sample variance of s² = 16. Calculate the sample standard deviation.

You have been given 5 scores with a sum of squares (SS) of 100. If you were informed that these scores make up a sample, the sample variance would be ____ and if instead you were informed these scores make up a population, the population variance is ____.

SS = 40 for a population of N = 5 scores. What is the variance for this population?

SS = 40 for a sample of n = 5 scores. What is the variance for this sample?

You are working with the scores in a population with µ = 40 and σ = 8. If you were to add 15 points to every score in the population, what would the new mean and standard deviation be?

Consider a population with µ = 40 and σ = 8. If you were to multiply every score in the population by 3, what are the new mean and standard deviation be?

Consider a sample with n = 10 scores and a sum of squares (SS) of 90. If you were informed that these scores make up a population (instead of a sample), the sum of squared deviations would be equal to which of the following values?

Consider a sample with n = 5 scores and a variance of s² = 20. If you were informed that these scores make up a population (instead of a sample), the variance would be equal to which of the following values?

Calculate SS and the variance for the following sample of scores?

Sample: 2, 6, 10

Calculate SS and the variance for the following sample of scores?

Sample: 1, 3, 0, 0

Determine SS for the scores that follow.

Scores: 5, 2, 4, 5

Determine the variance for the population scores that follow.

Scores: 0, 5, 4, 1

Which statement is true (for most distributions)?

Identify the set of scores that have the smallest standard deviation?

Consider a population in which the largest deviation between a score and the mean is 15 points. The smallest distance between a score and the mean is 5 points. Therefore, the standard deviation must be

Consider a population in which the smallest and largest scores are X = 8 and X = 16. Which of the following statements can be concluded?

If you were to calculate the sample variance by dividing SS by n, the average of all sample variances would then be _______ the population variance.

If you were to calculate the sample variance by dividing SS by df = n – 1, the average of all sample variances would then be _______ the population variance.

Consider a population with a mean of μ = 40. Which of the standard deviations that follow would positon the score X = 50 at the most extreme location within the distribution?

You are comparing two samples and find a difference in their means equal to 8 points. Provided that these samples both have the same variance, which of the following values of that variance would best allow you to spot the difference between two side-by-side plots of these distributions on a graph?

You have scored X = 78 on an exam where the class average is μ = 72. Which standard deviation would give you the highest position in the class’s distribution of scores?

You have scored X = 68 on an exam where the class average is μ = 72. Which standard deviation would give you the highest position in the class’s distribution of scores?