Exam 7: Probability and Samples: the Distribution of Sample Means

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 sample of n = 16 scores is selected from a population with μ = 80 with σ = 20.On average,how much error would be expected between the sample mean and the population mean?​

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 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.

Define the distribution of sample means.

Two samples probably will have different means even if they are both the same size and they are both selected from the same population.

A population has a mean of µ = 80 with σ = 20. a. If a single score is randomly selected from this population, how much distance, on average, should you find between the score and the population mean? b. If a sample of n = 4 scores is randomly selected from this population, how much distance, on average, should you find between the sample mean and the population mean? c. If a sample of n = 100 scores is randomly selected from this population, how much distance, on average, should you find between the sample mean and the population mean?

What happens to the standard error of M as sample size increases?​

A sample of n = 25 scores is selected from a population with a mean of µ = 80 and a standard deviation of σ = 20.The standard error for the sample mean is 20.

The sampling error is the natural discrepancy,or amount of error,between a sample statistic and its corresponding population parameter.

For a normal population with a mean of µ = 80 and a standard deviation of σ = 10,what is the probability of obtaining a sample mean greater than M = 75 for a sample of n = 25 scores?​

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 = 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 = 100 scores is selected from a population with μ = 80 with σ = 20.On average,how much error is expected between the sample mean and the population mean?​

According to the central limit theorem,the standard error for a sample mean becomes smaller as the sample size increases.

A sample of n = 9 scores is selected from a normal population with a mean of µ = 80 and a standard deviation of s = 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 is selected from a population with μ = 70 and σ = 8.It is very unlikely that the sample mean will be greater than 78.

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?​

For a normal population with µ = 40 and σ = 10 which of the following samples is least likely to be obtained?​

A sample of n = 9 scores is randomly selected from a population with µ = 80 and s = 9.If the sample mean is M = 83,then the corresponding z-score is z = +3.00.