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A company provides tuition for mathematics students across the country. It provides two levels of tuition: tuition for general-level students and tuition for advanced-level students.

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A company provides tuition for mathematics students across the country. It provides two levels of tuition: tuition for general-level students and tuition for advanced-level students. All students who receive tuition at this company must rst complete a test, to assess their initial comprehension of mathematics. For general-level students, the population mean score in this test is 50.91, with a population standard deviation of 14.99. For advanced students, the population mean score in the test is 80.26, with a population standard deviation of 11.81. A statistician wants to study the results of a random selection of general students and a random selection of advanced students. The statistician intends to draw a sample of 200 general-level students and a sample of 50 advanced-level students. a) From the following list, select the items that are relevant to calculating the extent to which the sample means vary, for samples from a population. 0 the mean of the underlying population 0 the variance of the underlying population O the size of the samples collected b) For the samples described in the scenario above, the sample mean scores for samples of general-level students will have a C. level of variation than the variation in sample mean scores for samples of advanced-level students

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