How old are college students? The national age distributionsfor college students

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How old are college students? The national age distributionsfor college students are shown below. The Eastern Association ofMountain Colleges took a random sample of 212 students and obtainedthe sample distribution listed second.   Is thesample age distribution for the Eastern Association of Mountain Colleges a good fit to the nationaldistribution? Use = 0.05 National Age Distribution for College Students age under 26, 39% age 26 - 35, 25% age 36 - 45, 16% age 46-55, 12% over 55, 8% Sample Distribution, Western Association of MountainColleges age under 26, # of students 65 age 26 - 35, # of students 73 age 36 - 45, # of students 41 age 46-55, # of students 21 over 55, # of students 12 please show all work it's more important that I understand howyour arrived at the solution, I need to make sure I know what I amdoing. . Thank you! How old are college students? The national age distributionsfor college students are shown below. The Eastern Association ofMountain Colleges took a random sample of 212 students and obtainedthe sample distribution listed second.   Is thesample age distribution for the Eastern Association of Mountain Colleges a good fit to the nationaldistribution? Use = 0.05 National Age Distribution for College Students age under 26, 39% age 26 - 35, 25% age 36 - 45, 16% age 46-55, 12% over 55, 8% Sample Distribution, Western Association of MountainColleges age under 26, # of students 65 age 26 - 35, # of students 73 age 36 - 45, # of students 41 age 46-55, # of students 21 over 55, # of students 12 please show all work it's more important that I understand howyour arrived at the solution, I need to make sure I know what I amdoing. . Thank you! age under 26, # of students 65 age 26 - 35, # of students 73 age 36 - 45, # of students 41 age 46-55, # of students 21 over 55, # of students 12 please show all work it's more important that I understand howyour arrived at the solution, I need to make sure I know what I amdoing. . Thank you!

Explanation / Answer

Consider the following table

Age Observedfrequencies p(x) Expectedfrequencies (Oi-Ei)^2 (Oi-Ei)^2/Ei under 26 65 0.39 82.68 312.5824 3.780629 26-35 73 0.25 53 400 7.54717 36-45 41 0.16 33.92 50.1264 1.477783 46-55 21 0.12 25.44 19.7136 0.774906 over 55 12 0.08 16.96 24.6016 1.450566 212 15.03105

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