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

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?​

If a sample of n = 4 scores is obtained from a population with μ = 70 and σ = 12,then what is the z-score corresponding to a sample mean of M = 76?​

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?​

If samples of size n = 16 are selected from a population with μ = 40 and σ = 8,the distribution of sample means will have a standard error of 2 points.

The mean for a sample of n = 9 scores has a standard error of 2 points.This sample was selected from a population with a standard deviation of s = 18.

A random sample of n = 16 scores is obtained from a normal population with µ = 40 and σ = 8.What is the probability that the sample mean will be within 2 points of the population mean?​

Describe what is measured by the standard error of M.

A sample from a population with μ = 40 and σ = 10 has a mean of M = 44.If the sample mean corresponds to a z = 2.00,then how many scores are in the sample?​

A sample of n = 4 scores is obtained from a population with μ = 70 and σ = 8.If the sample mean corresponds to a z-score of 2.00,then what is the value of the sample mean?​

For a particular population a sample of n = 4 scores has an expected mean value of 10.For the same population,a sample of n = 25 scores would have an expected mean value of ____.​

As the sample size increases,the standard error also increases.

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

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?​

What term is used to identify the mean of 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 ____.​

On average,a sample of n = 16 scores from a population with s = 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 s = 5.

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.

Under what circumstances is distribution of sample means normal?​

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

A sample of n = 25 scores is selected from a population with μ = 70 and σ = 20.It is very unlikely that the sample mean will be smaller than 72.