Question

QUESTION 4
Scores in a population are normally distributed with a mean of 50 and a standard deviation of 2. What is the mean of the distribution of sample means for samples of size N = 25?

a.   0.40

b.   2

c.   4.38

d.   50

QUESTION 5
Scores in a population are normally distributed with a mean of 50 and a standard deviation of 2. What is the standard deviation of the distribution of sample means for samples of size N = 25?

a.   0.40

b.   2

c.   4.38

d.   50

QUESTION 11
A middle school art teacher knows that the average on a creativity test is µ = 200 with a standard deviation of σ = 50. She wants to know if the average of M = 215 for a sample of 49 students from her classes is higher than 200. What is the null hypothesis for this study?

a.   μcreativity = 225

b.   μcreativity = 200

c.   μcreativity > 200

d.   μcreativity > 225

QUESTION 12
A middle school art teacher knows that the average on a creativity test is µ = 200 with a standard deviation of σ = 50. She wants to know if the average of M = 215 for a sample of 49 students from her classes is higher than 200. What is the research hypothesis for this study?

a.   µ creativity = 225

b.   µ creativity = 200

c.   µ creativity > 200

d.   µ creativity > 225

Answer 1

Question 4

Answer:

d. 50

...because population mean is the unbiased estimator of the mean of the sampling distribution of sample means

Question 5

Standard deviation of the sampling distribution of sample means = σ/sqrt(n) = 2/sqrt(25) = 0.4

Answer:

a. 0.40

Question 11

Answer: b.   μ_creativity = 200

...because the null hypothesis is given as below:

H₀: The average on a creativity test is 200.

Question 12

Answer: c.   μ_creativity > 200

...because alternative hypothesis is given as below:

H_a: The average on a creativity test is greater than 200.