How is my work? Should anything be changed? A researcher wanted to examine the effect of a new math study skills program on second graders. Fifteen students took the new study skills program for six weeks and then took a standardized math exam, which is known to have a population mean score of µ = 80. The scores on the exam for the 15 students (who took the study skills program) are reported below. Scores on the standardized math exam for the 15 students: 78, 85, 83, 75, 81, 85, 84, 82, 78, 83, 78, 90, 85, 83, 81 Test to see whether the students who took the new study skills program have significantly higher test scores than the national average. Perform the appropriate test in SPSS using α = .05 a. State the null and alternative hypotheses below. Null hypothesis: H0: μ = 80. Alternative hypothesis: H1: μ > 80 b. What type of test should be run on the data (be specific with the exact name of the test)? For example, don’t just state “t test,” but the specific t-test used. One sample t-test. c. What is the conclusion of the hypothesis test? State the p-value and the decision about the hypothesis test below. (Don’t write the results here – that will be done in (d) below – just state p and whether H0 is rejected.) Sample mean 82.06 Sample standard deviation s = 3.750556 We reject the alternative hypothesis. d. What is the effect size for the study? (1) Calculate and report the effect size below. (2) Indicate the magnitude of the effect size according to Cohen’s standards and (3) interpret what the effect size means in terms of standard deviation units. The p-value is found using SPSS is 0.6338. The level of significance is 0.05. The p-value is, 0.6338 > 0.05. We reject the alternative hypothesis. e. Write the results of the test in APA format below. Results from the One-sample t test showed that the mean before and after the 6-week program [Mean = 82.07, SD = 3.75] was not statistically significant with a .05 level of significance.
How is my work? Should anything be changed?
A researcher wanted to examine the effect of a new math study skills program on second graders. Fifteen students took the new study skills program for six weeks and then took a standardized math exam, which is known to have a population mean score of µ = 80. The scores on the exam for the 15 students (who took the study skills program) are reported below.
Scores on the standardized math exam for the 15 students:
78, 85, 83, 75, 81, 85, 84, 82, 78, 83, 78, 90, 85, 83, 81
Test to see whether the students who took the new study skills program have significantly higher test scores than the national average. Perform the appropriate test in SPSS using α = .05
a. State the null and alternative hypotheses below.
Null hypothesis:
H0: μ = 80.
Alternative hypothesis:
H1: μ > 80
b. What type of test should be run on the data (be specific with the exact name of the test)? For example, don’t just state “t test,” but the specific t-test used.
One sample t-test.
c. What is the conclusion of the hypothesis test? State the p-value and the decision about the hypothesis test below. (Don’t write the results here – that will be done in (d) below – just state p and whether H0 is rejected.)
Sample mean
82.06
Sample standard deviation
s = 3.750556
We reject the alternative hypothesis.
d. What is the effect size for the study? (1) Calculate and report the effect size below. (2) Indicate the magnitude of the effect size according to Cohen’s standards and (3) interpret what the effect size means in terms of standard deviation units.
The p-value is found using SPSS is 0.6338.
The level of significance is 0.05.
The p-value is, 0.6338 > 0.05.
We reject the alternative hypothesis.
e. Write the results of the test in APA format below.
Results from the One-sample t test showed that the mean before and after the 6-week program [Mean = 82.07, SD = 3.75] was not statistically significant with a .05 level of significance.
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