Question
Refer to Exercise 15.10. Without assuming normal population distributions, test the null hypothesis that the population mean times spent outside the classroom on teaching responsibilities are the same for assistant, associate, and full professors.
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Null hypothesis (H0): The population mean times spent outside the classroom on teaching responsibilities are the same for assistant, associate, and full professors. Alternative hypothesis (Ha): The population mean times spent outside the classroom on teaching Show more…
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Independent random samples of six assistant professors, four associate professors, and five full professors were asked to estimate the amount of time outside the classroom spent on teaching responsibilities in the last week. Results, in hours, are shown in the accompanying table. Assistant: 7 12 11 15 9 14 Associate: 15 12 15 8 Full: 11 7 7 9 7 Without assuming normal population distributions, test the null hypothesis that the population mean times spent outside the classroom on teaching responsibilities are the same for assistant, associate, and full professors. (α=0.05)
Using the data of Exercise 15.5, perform a KruskalWallis test of the null hypothesis that the population mean test scores are the same for students assigned to the four teaching assistants.
Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither. Claim: μ = 107. Sample data: n = 17, x̄ = 101, s = 15.1. The sample data appear to come from a normally distributed population with unknown μ and σ. Student t Neither Normal
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