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Back to 10.1 Two Population Means with Unknown Standard Deviations

10.1 Exercise 11

Avg difficulty 2.5

A study is done by a community group in two neighboring colleges to determine which one graduates students with more math classes. College A samples 11 graduates. Their average is four math classes with a standard deviation of 1.5 math classes. College B samples nine graduates. Their average is 3.5 math classes with a standard deviation of one math class. The community group believes that a student who graduates from college A has taken more math classes, on the average. Both populations have a normal distribution. Test at a 1% significance level. Answer the following questions.

i. Conclusion:

OpenStax Introductory Statistics 2e, 10.1 Two Population Means with Unknown Standard Deviations, exercise 11

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.