he five-step method. A researcher wants to compare Natural Sciences students and Liberal Arts students in terms of how many books they read per year (other than those required for their courses). She takes samples of the two types of student and gets the following results:             Natural Sciences                                             Liberal Arts                                                          (Number of books read)                                                                                    __               X1 = 13.7                                                         X2 = 16.2                                                         s1 = 9.0                                                            s2 = 2.3             n1 = 45                                                            n2 = 41

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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For all hypothesis testing, you must use the five-step method.

  • A researcher wants to compare Natural Sciences students and Liberal Arts students in terms of how many books they read per year (other than those required for their courses). She takes samples of the two types of student and gets the following results:

            Natural Sciences                                             Liberal Arts               

                                          (Number of books read)

                                                                                   __  

            X1 = 13.7                                                         X2 = 16.2                                            

            s1 = 9.0                                                            s2 = 2.3

            n1 = 45                                                            n2 = 41

 

The researcher develops a hunch that in the population, Natural Science students read fewer books than Liberal Arts students. Do the data support her hunch? Use α = .01, and round your calculations to two places of the decimal. Interpret your results.

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