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 30 - 40 149.3, 127.1, 110.2, 126.0, 149.9 175.8, 204.6, 169.8, 198.0. 166.1 Over 40 160.1, 181.2, 255.9, 163.1, 162.8 169.1, 139.0, 103.3, 172.9, 214.5 Under 30 |114.8, 127.1, 108.8, 106.7, 124.3 144.2, 156.3, 151.3, 161.9, Female Male 151.8 Choose the correct answer below. O A. Yes; each cell contains the same number of sample values. O B. No; there are a different number of columns and rows. OC. No; each cell contains an odd number of sample values. O D. Yes; the sample values are categorized in two ways.

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Chapter1: Combinatorial Analysis
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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
30 - 40
Over 40
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
Female
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
Male
Choose the correct answer below.
A. Yes; each cell contains the same number of sample values.
B. No; there are a different number of columns and rows.
C. No; each cell contains an odd number of sample values.
D. Yes; the sample values are categorized in two ways.
Transcribed Image Text: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 30 - 40 Over 40 114.8, 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 Female 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 Male Choose the correct answer below. A. Yes; each cell contains the same number of sample values. B. No; there are a different number of columns and rows. C. No; each cell contains an odd number of sample values. D. Yes; the sample values are categorized in two ways.
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