Question

1) The distribution of sample means (for a specific sample size) consists of a. All the scores contained in the sample x b. All the scores contained in the population x C. All the samples means that could be obtained (for the specific sample size) d. The specific sample mean computed for the sample of scores 2) A sample of n=25 scores is determined to have a standard error of 2 points. What is the standard deviation for the population from which the sample was obtained? a. 2 b. 2/5 c. 10 d. 50 3) A z-score that is used for hypothesis testing is also called a a. Critical region b. Test statistic C. Critical value d. Level of significance 4) Increasing the alpha level (for example from a=.01to a= .05) _ a. Increases the probability for a Type I error b. Increases the size of the critical region C. Increases the probability that the sample will fall into the critical region d. All of the options occur when alpha is increased

please show work

Answer 1

1. The distribution of sample means consists of the

- c. All the sample means that could be obtained (for the specific sample size)

2. n = 25, standard error = 2. standard deviation = ?

- c. 10

As, standard error = standard deviation / sqrt(n)

Thus, 2 = standard deviation / sqrt(25)

Thus. standard devation = 2*sqrt(25) = 10

3. A z score used for hypothesis testing is also called a

- b. test statistic

4. Increasing the alpha level (from example from 0.01 to 0.05)

- d. All of the options occur when alpha is increased