Prompt: 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 sample of students got on the reading test:

Student's Scores on the Reading Test

55

60

45

35

78

45

58

61

50

43

45

49

65

60

45

35

55

65

70

75

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.

1. State the null hypothesis

A. H₀: The sample average is different from the population average,, or M

B. H₀: The sample average is not different from the population average, or M =

2. State the alternative hypothesis

A. H₁: The sample average is not different from the population average, or M

B. H₁: The sample average is different from the population average,, or M =

3. Indicate the level of risk used in psychology

A. The level of risk is .05

B. The level of risk is .01

C. The level of risk is .5

D. The level of risk is .1

4. Determine the best statistical test to use

A. Correlational test

B. T-test

C. One-sample Z test

D. ANOVA

E. Critical value test

5. First, you'll have to calculate the SEM (standard error of the mean). SEM is calculated by taking the standard deviation and dividing it by the square root of the sample size. Use the values provided to calculate the SEM. Put your value below. Round your response out to three decimal places.

6. Now, Compute the test statistic. (Take the sample mean, subtract the hypothesized mean, and divide by the standard error of the mean. Take one sample mean, subtract the other, and divide by the pooled standard deviation.) Round to three decimal places.put your value below

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

A. 1.96

B. 0.05

C. 2.10

D. 3.25

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

A. No

B. Yes

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

A. Fail to reject the null hypothesis

B. Reject the null hypothesis

10. Write up your results as you would see it in a results section of an A P A form empirical research paper.

Prompt: The next school year. this kindergarten teacher has a select group of 6 readers who are struggling with learning to read 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 10).

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

Scores on the Reading Test for the group of struggling readers

50

52

45

55

50

55

12. Does this advanced reading group significantly differ from the national average?

A. There is not enough information to answer this question

B. No

C. Yes

13. Explain why you made the decision you did in the previous question (that is, explain why you believe it is or is not significantly different from the national average).