Exam 7: The Distribution of Sample Means

For a particular population, a sample of n = 9 scores has a standard error of 8.For the same population, a sample of n = 16 scores would have a standard error of _____.

Which combination of factors will produce the smallest value for the standard error?

On average, a sample of n = 16 scores from a population with σ = 10 will provide a better estimate of the population mean than you would get with a sample of n = 16 scores from a population with σ = 5.

The smallest possible standard error is obtained when a small sample is taken from a population with a small standard deviation.

A sample of n = 9 scores has a standard error of 6.What is the standard deviation of the population from which the sample was obtained?

A population has µ = 60 and σ = 10.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 = 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?

If random samples, each with n = 36 scores, are selected from a normal population with µ = 80 and σ = 18, how much difference, on average, should there be between a sample mean and the population mean?

For a population with µ = 80 and σ = 20, the distribution of sample means based on n = 16 will have an expected value of ____ and a standard error of ____.

A random sample of n = 16 scores is obtained from a population with σ = 12.If the sample mean is 6 points greater than the population mean, what is the z-score for the sample mean?

A sample of n = 4 scores is selected from a population with μ = 50 and σ = 12.If the sample mean is M = 56, what is the z-score for this sample mean?

A sample of n = 25 scores is selected from a population with μ = 50 and σ = 10.The probability of obtaining a sample mean greater than 55 is p = 0.3085.

A random sample of n = 36 scores is selected from a population.Which of the following distributions definitely will be normal?

If random samples, each with n = 4 scores, are selected from a normal population with µ = 80 and σ = 36, then what is the standard error for the distribution of sample means?

The mean for the distribution of sample means is always equal to the mean for the population from which the samples are obtained.

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, then what is the average of all the sample means?

Samples of size n = 9 are selected from a population with μ = 80 with σ = 18.What is the expected value for 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?

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

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