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Exam 4: Variability

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Question 21

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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) ​smaller than
B) ​larger than
C) ​exactly equal to
D) ​unrelated to

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Question 22

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A sample of n = 4 scores has ΣX = 8 and ΣX² = 40.What is the value of the sample variance,s²?​

A) ​2
B) ​4
C) ​8
D) ​10

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Question 23

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If you have a score of X = 66 on an exam with μ = 70,you should expect a better grade if σ = 10 than if σ = 5.​

The range and the standard deviation are both measures of spread.​

Which of the following symbols identifies the sample variance?​

For a sample with M = 20 and s = 1,a score of X = 17 would be considered an extremely low score.​

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

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

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 ____.​

To calculate the variance for a population,SS is divided by N.​

A sample consists of n = 16 scores.How many of the scores are used to calculate the range?​

For a sample with M = 40 and s = 4,about 95% of the individuals will have scores between X = 32 and X = 48.​

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

In a population of N = 10 scores,the smallest score is X = 8 and the largest score is X = 20.Using the concept of real limits,what is the range for this population?​

What is the value of SS (sum of squared deviations) for the following set of scores? If the scores constitute a population,what is the population standard deviation,s? Scores: 1,1,4,0.​

If the population standard deviation is 4,then the variance will be σ² = 16.​

Which of the following is true for most distributions?​

What is the value of SS for the following set of sample scores? Scores: 0,1,4,5​