17.34 (EX) Oligofructose and calcium absorption 1/6: Nondigestible oligosaccharides are known to stimulate calcium absorption in rats. A double-blind, randomized experiment investigated whether the consumption of oligofructose similarly stimulates calcium absorption in healthy male adolescents 14 to 16 years old. The subjects took a pill for nine days and had their calcium absorption tested on the last day. The experiment was repeated three weeks later. Some subjects received the oligofructose pill in the first round and then a pill containing sucrose (which served as a control). The order was switched for the remaining subjects. Here are the fractional calcium absorption data (in percent of intake) for 11 subjects: Subject Control 1 2 3 4 5 6 7 8 9 10 11 78.4 76.6 57.4 51.5 49.0 46.6 44.2 42.9 37.2 34.1 24.6 Oligofructose 62.0 95.1 46.5 49.4 89.7 43.8 50.3 51.6 66.6 52.7 54.0 Explain clearly why the matched pairs t test is the proper choice for this experimental design. O Because this was a double-blind, randomized experiment. O Because two treatments, control and oligofructose, were implemented. O Because subjects were grouped into two groups. O because each subject was given both the control and oligofructose pills.

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17.34 (EX) Oligofructose and calcium absorption 1/6: Nondigestible oligosaccharides are known to stimulate calcium absorption in rats. A double-blind, randomized experiment investigated whether the consumption of
oligofructose similarly stimulates calcium absorption in healthy male adolescents 14 to 16 years old. The subjects took a pill for nine days and had their calcium absorption tested on the last day. The experiment was repeated
three weeks later. Some subjects received the oligofructose pill in the first round and then a pill containing sucrose (which served as a control). The order was switched for the remaining subjects. Here are the fractional calcium
absorption data (in percent of intake) for 11 subjects:
Subject
Control
1 2 3 4 5 6 7 8 9 10 11
78.4 76.6 57.4 51.5 49.0 46.6 44.2 42.9 37.2 34.1 24.6
Oligofructose 62.0 95.1 46.5 49.4 89.7 43.8 50.3 51.6 66.6 52.7 54.0
Explain clearly why the matched pairs t test is the proper choice for this experimental design.
O Because this was a double-blind, randomized experiment.
O Because two treatments, control and oligofructose, were implemented.
O Because subjects were grouped into two groups.
O because each subject was given both the control and oligofructose pills.
Transcribed Image Text:17.34 (EX) Oligofructose and calcium absorption 1/6: Nondigestible oligosaccharides are known to stimulate calcium absorption in rats. A double-blind, randomized experiment investigated whether the consumption of oligofructose similarly stimulates calcium absorption in healthy male adolescents 14 to 16 years old. The subjects took a pill for nine days and had their calcium absorption tested on the last day. The experiment was repeated three weeks later. Some subjects received the oligofructose pill in the first round and then a pill containing sucrose (which served as a control). The order was switched for the remaining subjects. Here are the fractional calcium absorption data (in percent of intake) for 11 subjects: Subject Control 1 2 3 4 5 6 7 8 9 10 11 78.4 76.6 57.4 51.5 49.0 46.6 44.2 42.9 37.2 34.1 24.6 Oligofructose 62.0 95.1 46.5 49.4 89.7 43.8 50.3 51.6 66.6 52.7 54.0 Explain clearly why the matched pairs t test is the proper choice for this experimental design. O Because this was a double-blind, randomized experiment. O Because two treatments, control and oligofructose, were implemented. O Because subjects were grouped into two groups. O because each subject was given both the control and oligofructose pills.
17.34 (EX) Oligofructose and calcium absorption 3/6: Do the data support the hypothesis that oligofructose facilitates calcium obsorption? Let ō be the mean difference of fractional calcium
absorption between oligofructose and control. State the hypotheses.
OHO: 8 10.84 vs. Ha: 6> 10.84
O HO: 6 = 0 vs. Ha: ō > 0
O HO: 6 = 0 vs. Ha: ō #0
OHO: 8 = 0 vs. Ha: ō < 0
Transcribed Image Text:17.34 (EX) Oligofructose and calcium absorption 3/6: Do the data support the hypothesis that oligofructose facilitates calcium obsorption? Let ō be the mean difference of fractional calcium absorption between oligofructose and control. State the hypotheses. OHO: 8 10.84 vs. Ha: 6> 10.84 O HO: 6 = 0 vs. Ha: ō > 0 O HO: 6 = 0 vs. Ha: ō #0 OHO: 8 = 0 vs. Ha: ō < 0
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