Instructions: A kindergarten teacher is interested in comparing the reading ability of the kids in her class to the national average. She administers a standardized reading test to her class. The national average on the test is 50, and the standard deviation is (population SD) = 10.

Below are the scores that her student got on the reading test:

Student scores on reading test.

Student's Scores on the Reading Test

50

40

60

40

45

43

30

25

70

75

50

52

48

40

40

45

65

32

35

55

Your job is to determine if this sample (the average scores in this classroom) differ significantly from what you would expect given the national average.

Question 1

State the null hypothesis

a. H₀: The sample drawn from the population reflects the population or M =

b. H₀: The sample drawn from the population reflects the population or M

Question 2

State the alternative hypothesis

a. H₁: The sample drawn from the population does not reflect the population or M

b. H₁: The sample drawn from the population reflects the population or M =

Question 3

Indicate the level of risk used in psychology

a. The level of risk is .5

b. The level of risk is .05

c. The level of risk is .01

d. The level of risk is .1

Question 4

Determine the best statistical test to use

a. Critical value test

b.One-sample Z test

c. ANOVA

d. T-test

e. Correlational test

Question 5

First, you'll have to calculate the SEM. Use the values provided and the formula in the book/lecture to calculate the SEM. Put your value below. Round your response out to three decimal places.

Question 6

Now, Compute the test statistic (Use the formulas in the book / lecture to calculate the correct statistic).

Question 7

The value needed to reject the null hypothesis (the critical value) is ___________.

a. 3.25

b. 0.05

c. 1.96

d. 2.10

Question 8

Does the obtained value exceed the critical value (that is, is the obtained value larger than the critical value)?

a. No

b. Yes

Question 9

Based on your answer to the previous question, the decision is to ____________

a. Reject the null hypothesis

b. Fail to reject the null hypothesis

Question 10

Write up your results as you would see it in a results section of an APA style empirical research paper

Question 11

The next school year. this kindergarten teacher has a select group of 6 struggling readers from her class. She wants to see if this select group's scores differ from the national average (remember the national average is 50 and the standard deviation is

What is the z value for comparing this new sample to the population? Round your answer out to three decimal places.

Scores on the Reading Test for the Advance Reading Group

42

35

33

40

41

38

Question 12

Does this advanced reading group differ from the national average?

a. Yes

b. No

c. There is not enough information to answer this question

Bottom of Form