Researchers randomly select and weigh men and women. Their weights are entered i
ID: 3241938 • Letter: R
Question
Researchers randomly select and weigh men and women. Their weights are entered in the table below, so that each cell includes five weights. Is the result a balanced design? Why or why not?
Age
Under 30
30minus40
Over 40
Female
114.8, 127.1, 108.8, 106.7, 124.3
149.3, 127.1, 110.2, 126.0, 149.9
160.1, 181.2, 255.9, 163.1, 162.8
Male
144.2, 156.3, 151.3, 161.9, 151.8
175.8, 204.6, 169.8, 198.0, 166.1
169.1, 139.0, 103.3, 172.9, 214.5
Choose the correct answer below.
A. Yes; each cell contains the same number of sample values.
B. No; each cell contains an odd number of sample values.
C. No; there are a different number of columns and rows.
D. Yes; the sample values are categorized in two ways.
Age
Under 30
30minus40
Over 40
Female
114.8, 127.1, 108.8, 106.7, 124.3
149.3, 127.1, 110.2, 126.0, 149.9
160.1, 181.2, 255.9, 163.1, 162.8
Male
144.2, 156.3, 151.3, 161.9, 151.8
175.8, 204.6, 169.8, 198.0, 166.1
169.1, 139.0, 103.3, 172.9, 214.5
Explanation / Answer
A. Yes; each cell contains the same number of sample values.
the resultant design is balanced one.
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