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

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 expected value for the sample mean is 80.

For a normal population with µ = 40 and σ = 10 which of the following samples has the highest probability of being obtained?​

A sample of n = 9 scores is selected from a population with µ = 50 and s = 12.The probability of obtaining a sample mean greater than 46 is p = 0.8413.Z

A sample obtained from a population with σ = 12 has a standard error of 2 points.How many scores are in the sample?​

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?​

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?​

Describe the shape,the mean,and the standard deviation for each of the following two distributions. a. A population of scores with µ = 50 and σ = 6. b. The distribution of sample means based on samples of n = 36 selected from a population with µ = 50 and σ = 6.

If samples are selected from a normal population,the distribution of sample means will also be normal.

A sample of n = 4 scores has a standard error of 10 points.For the same population,what is the standard error for a sample of n = 16 scores?​

If samples of size n = 16 are selected from a population with μ = 40 and σ = 8,the distribution of sample means will have an expected value of 40.​

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

If the sample size is equal to the population standard deviation (n = s),then the standard error for the sample mean is equal to 1.00.

What term is used to identify the standard deviation of the distribution of sample means?​

Samples of size n = 9 are selected from a population with μ = 80 with σ = 18.What is the expected value of M,the mean of the distribution of sample means?​

A sample of n = 16 scores is selected from a normal population with µ = 40 and σ = 12. a. Describe the distribution of sample means that contains the mean for the sample. b. What is the probability that the sample mean will be greater than 43? c. What is the probability that the sample mean will be less than 34?

Each of the following samples was obtained from a population with µ = 100 and σ = 10.Find the z-score corresponding to each sample mean. a. M = 95 for a sample of n = 4 b. M = 104 for a sample of n = 25 c. M = 103 for a sample of n = 100