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Exam 4: Variability

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Question 1

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If the population variance is 5,then the population standard deviation is σ = 25.​

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B) False

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Question 2

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Given a population of N scores,the sum of the deviation scores is equal to N.​

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Question 3

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A sample of n = 9 scores has a variance of s² = 144.What is the standard deviation for this sample?​

Which of the following symbols identifies the population standard deviation?​

A sample with a variance of 25 has a standard deviation equal to 5 points.​

What are the values for SS (sum of squared deviations) and variance for the following sample of n = 4 scores? Sample: 1,1,0,4​

For a population,a deviation score is computed as X - μ.​

In a population with a mean of μ = 40 and a standard deviation of σ = 8,a score of X = 46 would be an extreme value,far out in the tail of the distribution.​

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

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.​

A population with SS = 90 and a variance of 9 has N = 10 scores.​

The sum of the squared deviation scores is SS = 20 for a sample of n = 5 scores.What is the variance for this sample?​

Using the definitional formula,compute SS,variance and the standard deviation for the following sample of scores.​Scores: 3,6,1,6,5,3

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.​

A sample of n = 5 scores has ΣX = 20 and ΣX² = 180.For this sample,what is the value of the sample standard deviation,s?​

Without some correction,sample variability is said to be "biased." Define the term biased,and explain how this bias is corrected in the formula for sample variance.​

For a particular sample of size n=10,the largest distance (deviation) between a score and the mean is 11 points.The smallest distance between a score and the mean is 4 points.Therefore,the standard deviation will be ____.​

For each of the following samples: Sample #1: 1,0,3,6Sample #2: 1,3,5,4,7 a. Compute the mean. b. Determine whether it would be better to use the computational or the definitional formula for SS. c. Compute the SS.

There is a six-point difference between two sample means.If the two samples have the same variance,then which of the following values for the variance would make the mean difference easiest to see in a graph showing the two distributions.​

If sample variance is computed by dividing SS by df = n - 1,then the average value of the sample variances from all the possible random samples will be ____ the population variance.​