Question

Scenario 3. A 5^th grade school teacher believes that she has an exceptionally gifted group of students in her class this year. She learns that the national average score on the 5^th grade annual test is 150, with a standard deviation of 30. She wants to compare her student’s scores to the national average.

1. What is the null hypothesis for scenario 3?

a. HO: µ1 = µ2

b. HO: µ1 = µ2 =µ3

c. r = 0

d. H0: X = µ

___________

2. What is the alternative hypothesis for scenario 3?

a. r ≠ 0

b. H1: X1 ≠ X2 ≠ X3

c. H1: X ≠ µ

d. H1: m1 < m2

_________

3. What is the appropriate test statistic to use for scenario 3?

a. One-way ANOVA

b. independent samples t-test

c. regression

d. dependent samples t-test

f. correlation coefficient

g. z-test

Answer 1

1. d. H0: X = µ. The null hypothesis here indicates that the sample mean would be equal to the population mean. There will be no differences between the scores of the teacher's group of students and the national average.

2. c. H1: X ≠ µ. The alternate hypothesis states that some differences exist between the the sample mean and the population mean. Hence, some differences exist between the scores of the teacher's group of students and the national average.

3. Z test is appropriate to compare the sample mean and the population mean.