HW_Week8a.docx - UMUC STAT-200 Homework Dr Brian Killough...

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UMUC STAT-200 Homework Week #8 Dr. Brian Killough The assignment must be completed before the start of the Final Exam on Thursday at midnight. Lane – Chapter 15 Illowsky – Chapter 13 Problem #1 (40 points) Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses. The null hypothesis is all group means are equal. The alternate hypothesis is that any two group means are not equal. Northea st South West Central East 16.3 16.9 16.4 16.2 17.1 16.1 16.5 16.5 16.6 17.2 16.4 16.4 16.6 16.5 16.6 16.5 16.2 16.1 16.4 16.8 Mea n 16.325 16.5 16.4 16.425 16.925 Varia nce 0.02916 6667 0.08666 6667 0.04666 6667 0.02916 6667 0.07583 3333 Find the F-statistic using an ANOVA table. In order to receive full credit, you need to show your values of group mean and group variance (table above), grand mean (below), and all of the values in the ANOVA table (below).
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