# 4. A researcher wanted to examine the effect of a new math study skills program on secondgraders. Fifteen students took the new study skills program for six weeks and then took astandardized math exam, which is known to have a population mean score of u 80. The scoreson the exam for the 15 students (who took the study skills program) are reported belowScores on the standardized math exam for the 15 students:79, 85, 86, 75, 82, 84, 85, 81, 75, 84, 78, 90, 85, 83, 80Test to see whether the students who took the new study skills program have significantly highertest scores than the national average. Perform the appropriate test in SPSS using a .05a. State the null and alternative hypotheses belowb. What type of test should be run on the data (be specific with the exact name of the test)? Forexample, don't just state "t test," but the specific test usedc. What is the conclusion of the hypothesis test? State the p-value and the decision about thehypothesis test below(Don't write the results here that will be done in (d) below -just state p and whether Ho is rejected.)d. What is the effect size for the study? Calculate and report the effect size below. Indicate themagnitude of the effect size according to Cohen's standards and interpret what the effect sizemeans in terms of standard deviation units.e. Write the results of the test in APA format below.

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1 views help_outlineImage Transcriptionclose4. 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 u 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: 79, 85, 86, 75, 82, 84, 85, 81, 75, 84, 78, 90, 85, 83, 80 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 a .05 a. State the null and alternative hypotheses below 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 test used 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 Ho is rejected.) d. What is the effect size for the study? Calculate and report the effect size below. Indicate the magnitude of the effect size according to Cohen's standards and interpret what the effect size means in terms of standard deviation units. e. Write the results of the test in APA format below. fullscreen
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Step 1

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Step 2

a)

The test hypotheses are:

Null hypothesis:

H0: μ = 80.

Alternative hypothesis:

H1: μ > 80

Step 3

b)

As the population standard deviation is unknown, the sample standard deviation must be used while performing the test. Thus, the suitable test to use here is the one sample t test.

c)

Here, the sample size n is 15.

Descriptive statistics:

Step-by-step procedure to obtain the descriptive statistics using Excel:

• In Excel sheet, enter the data of Scores in any one column.
• In Data, Select Data Analysis and Choose... help_outlineImage TranscriptioncloseScores Mean 82.13333333 Standard Error 1.077327676 Median 83 Mode 85 Standard Deviation 4.172472146 Sample Variance 17.40952381 Kurtosis -0.190815079 Skewness -0.2377297 Range 15 Minimum 75 Maximum 90 Sum 1232 Count 15 fullscreen

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