Variable Names: GENDER: Gender of participants: 1: Boys, 2: Girls ESCALEDS: English Language Art Test administered by the local state. CLASSINT: Categorized version of the ESCALEDS: Intermediate: 1; Proficient: 2 NAEPREAD: NAEP reading test administered nationwide.

You're interested in examining the Illinois State 4th graders' performance on NAEP reading test (naepread) comparing to the national average. Then, you will investigate whether there is a statistically significant performance difference between genders' scores on NAEP reading test in the state. Finally, you'll conduct an analysis investigating the possible performance difference between state administered English language art test (escaleds) and NAEP reading test.

How do I Conduct t tests to test group mean differences.

1. How do I Conduct a paired t-test on escaleds and naepread for all participants. Report the hypothesis testing results, including t-statistic, p-value and df. Report the 95% confidence interval. What are the null and alternative hypotheses of the test? What conclusions you will draw from the results?

2. Conduct an independent samples t-test on naperead between boys and girls (gender variable). Report the hypothesis testing results, including t-statistic, p-value and df. Report the 95% confidence interval. What are the null and alternative hypotheses of the test? What conclusions you will draw from the results?

3. Test whether the mean naepread for Illinois is statistically significantly different from the US average of 219.00 reported by the Department of Education. Report the hypothesis testing results, including t-statistic, p-value and df. Report the 95% confidence interval. What are the null and alternative hypotheses of the test? What conclusions you will draw from the results ?? What is the effect size (Cohen's D)? Comment about the effect size (small/ medium/ large).

answer in r codes

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