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Exam 4: Variability

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Question 31

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A population has µ = 50 and σ = 5.If 10 points are added to every score in the population, then what are the new values for the mean and standard deviation?

A) µ = 50 and σ = 5
B) µ = 50 and σ = 15
C) µ = 60 and σ = 5
D) µ = 60 and σ = 15

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Question 32

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A sample of n = 7 scores has SS = 42.The variance for this sample is s² = 6.

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Question 33

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A population of N = 6 scores has ΣX = 12 and ΣX² = 54.What is the value of SS for this population?

Which of the following is true for most distributions?

A population has SS= 100 and $\sigma$ ² = 4.What is the value of $\sum$ (X - $\mu$ ) for the population?

A population of N = 5 scores has SS = 20 and σ² = 4.If the 5 scores were a sample, the value of SS would still be 20 but the variance would be s² = 5.

The smallest score in a population is X = 5 and the largest score is X = 10.Based on this information, you can conclude that ______.

What are the values for SS and variance for the following sample of n = 3 scores? Sample: 1, 4, 7

After a researcher adds 5 points to every score in a sample, the standard deviation is found to be s = 10.The original sample had a standard deviation of s = 5.

A set of 10 scores has SS = 90.If the scores are a sample, the sample variance is ____ and if the scores are a population, the population variance is ____.

A sample of n = 25 scores has M = 20 and s² = 9.What is the sample standard deviation?

If sample variance is computed by dividing SS by n, then the average value of the sample variances from all the possible random samples will be _______ the population variance.

A sample with SS = 40 and a variance of 8 has n = 5 scores.

A population has SS= 100 and $\sigma$ ² = 4.How many scores are in the population?

A sample of n = 25 scores is selected from a population with a variance of σ² = 16.The sample variance probably will be smaller than 16.

The range and the standard deviation, are both measures of distance.

The value for SS is always greater than or equal to zero.

After a researcher multiplies every score in a sample by 2, the standard deviation is found to be s = 10.The original sample had a standard deviation of s = 5.

What is the variance for the following population of scores? Scores: 5, 2, 5, 4

A sample of n = 8 scores has SS = 50.If these same scores were a population, then the SS value for the population would be _____.