Exam 7: Probability and Samples: The Distribution of Sample Means.

A sample of n = 16 scores is selected from a population with μ = 100 and σ = 32.If the sample mean is M = 104,what is the z-score for this sample mean?

What happens to the expected value of M as sample size increases?

Under what circumstances will the distribution of sample means be normal?

What is the standard error of M?

If the sample size is increased,then the standard error for sample means will also increase.

A random sample of n = 4 scores is obtained from a normal population with µ = 30 and σ = 8.What is the probability that the sample mean will be smaller than M = 22?

Samples of n = 16 scores are selected from a population.If the distribution of sample means has an expected value of 40 and a standard error of 2,what is the mean and the standard deviation for the population?

A sample from a population with μ = 40 and σ = 8 has a mean of M = 36.If the sample mean corresponds to a z = -1.00,then how many scores are in the sample?

A random sample of n = 4 scores is obtained from a population with a mean of µ = 80 and a standard deviation of σ = 10.If the sample mean is M = 90,what is the z-score for the sample mean?

A sample is obtained from a population with μ = 100 and σ = 20.Which of the following samples would produce the most extreme z-score?

A population has µ = 60 and σ = 30.For a sample of n = 25 scores from this population,a sample mean of M = 55 would be considered an extreme value.

A sample of n = 9 scores is selected from a normal population with a mean of µ = 80 and a standard deviation of σ = 12.The probability that the sample mean will be greater than M = 86 is equal to the probability of obtaining a z-score greater than z = 1.50

A sample of n = 16 scores has a standard error of 4.What is the standard deviation of the population from which the sample was obtained?

What symbol is used to identify the standard error of M?

A sample of n = 16 scores is obtained from a population with μ = 50 and σ = 16.If the sample mean is M = 54,then what is the z-score for the sample mean?

A random sample of n = 9 scores is obtained from a normal population with µ = 40 and σ = 18.What is the probability that the sample mean will be greater than M = 43?

A sample of n = 9 scores is obtained from a population with μ = 70 and σ = 18.If the sample mean is M = 76,what is the z-score for the sample mean?

Samples of size n = 9 are selected from a population with μ = 80 with σ = 18.What is the standard error for the distribution of sample means?

If all the possible random samples with n = 36 scores are selected from a normal population with µ = 80 and σ = 18,and the mean is calculated for each sample,what is the average of all the sample means?

If random samples,each with n = 9 scores,are selected from a normal population with µ = 80 and σ = 36,what is the expected value for the distribution of sample means?