#### MS 150 Statistics Fall 2001 Quiz 13: 10.2

Chuuk Kosrae+Yap
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Suppose there exists a theory that remediation in mathematics at the College level can never fully compensate for a weak foundation in mathematics. In an investigation of the potential impact of this theory, a young researcher decides to examine whether there is a differential in the performance of students from Chuuk versus other students who come from off-island. The researcher has chosen to omit Pohnpeian students because this is usually their home island and there may be home-island factor impinging on their performance.   MS 100 students were studied because these students are no longer in a remedial math course.

The data displayed in the table are the grade point values attained by Chuukese and the Kosraen+Yapese students in MS 100 College Algebra Spring 2001 at the National campus.

Run a two sample for means with unequal variances hypothesis test to determine if the difference in the mean grade point values for the Chuukese and Yapese students is statistically significant at an alpha of 0.01. Use a two-tail test.

____________ Write the null hypothesis

____________ Write the alternate hypothesis

____________ What is a?

____________ What is the t-statistic?

____________ What is the critical value for t?

Make a sketch of the t-distribution, the criticial regions, the t-statistic and tc.

____________ Do we reject or fail to reject the null hypothesis?

____________ Are the mean grade point values different?

____________ Did one group of students perform differently in MS 100?

____________ Which group?

____________ What is the smallest alpha (two-tail) for which this result is significant?

Write a 99% confidence interval for the Chuukese population mean grade point average in MS 100 last Spring.

_________ < µ < __________