A researcher is interested in analyzing the changes in reading performance for t

Question

A researcher is interested in analyzing the changes in reading performance for the population of High School students in the United States. The researcher selected a sample of students and obtained their reading scores from 8^th grade, then obtained their reading scores from 10^th grade. Using the variables "achrdg08" & "achrdg10" from the NELS data file run the appropriate test for this study. Keep the alpha level at .05 What is the calculated value for the test? What is the average reading level in 8^th grade? What is the average reading level in 10^th grade? What is the difference between these two means? Is there a real statistically significant difference between the average reading level in 8^th grade vs. the average reading level from 10^th grade? Explain Do you accept or reject the Null? Write up the results using the proper format.

Explanation / Answer

Q-5

Calculated value of test statistic t=Mean/SE=-0.06498/0.26973=-0.2409

Average reading level in grade 8th=56.0491

Average reading level in grade 10th=56.1140

Difference between means=-0.06498

As p-value=0.810>0.05, so there is not a statistically significant difference.

We accept the null

Q-8

To test whether the 8th grade and 10h grade students’ reading scores are different paired sample t-tes was applied and the results were not significant, t(499)=-0.2409, p=0.810>0.05. Hence, no difference in mean reading score was found.

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