Question

1. An honors statistics instructor wanted to know if the mean performance of his 18 students was significantly better than the national average score. The mean score of the 18 students in his statistics class was 75. The national mean (i.e., µ) and standard deviation (i.e., σ) for the Statistics test was 69 and 11, respectively. Use α = .05. The fact that the population of scores on the exam were normally distributed suggests that which assumption was probably met?

	a.	appropriate measurement of the IV and DV
	b.	homogeneity of variance
	c.	independence
	d.	normality

2. An honors statistics instructor wanted to know if the mean performance of his 18 students was significantly better than the national average score. The mean score of the 18 students in his statistics class was 75. The national mean (i.e., µ) and standard deviation (i.e., σ) for the Statistics test was 69 and 11, respectively. Use α = .05. The fact that the standard deviation of the sample was 10.8 and the standard deviation of the population was 11 suggests that which assumption was probably met?

	a.	appropriate measurement of the IV and DV
	b.	homogeneity of variance
	c.	independence
	d.	normality

Answer 1

Answer:

Given that:

An honors statistics instructor wanted to know if the mean performance of his 18 students was significantly better than the national average score. The mean score of the 18 students in his statistics class was 75. The national mean (i.e., µ) and standard deviation (i.e., σ) for the Statistics test was 69 and 11, respectively. Use α = .05

1) The fact that the population of scores on the exam were normally distributed suggests that which assumption was probably met?

normality

As population is normally distributed,so sampling distribution of sample means will be normally distributed.

Correct option is d

2) The fact that the standard deviation of the sample was 10.8 and the standard deviation of the population was 11 suggests that which assumption was probably met?

normality

Correct option is d