A nutritionist randomly divided 15 cyclists into three groups of 5 cyclists each. Cyclists in the first group were given vitamin supplements, which they took with their meals for the next three weeks. The second group was instructed to eat certain types of high-fiber whole grain cereals for the next three weeks. Cyclists in the third group ate the same way they normally eat. After three weeks, each cyclist rode 6 miles, from which the following times were recorded: Vitamin group 15.6 16.4 17.2 15.5 16.3 Fiber group 17.1 16.3 15.8 16.4 16.0 Control group 15.9 17.2 16.4 15.4 16.8 Is the data consistent with the hypothesis that vitamin supplements or fiber cereals do not affect the speed of cyclists? Use a 1% significance level.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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A nutritionist randomly divided 15 cyclists into three groups of 5 cyclists each. Cyclists in the first group were given vitamin supplements, which they took with their meals for the next three weeks. The second group was instructed to eat certain types of high-fiber whole grain cereals for the next three weeks. Cyclists in the third group ate the same way they normally eat. After three weeks, each cyclist rode 6 miles, from which the following times were recorded:


Vitamin group 15.6 16.4 17.2 15.5 16.3

Fiber group 17.1 16.3 15.8 16.4 16.0

Control group 15.9 17.2 16.4 15.4 16.8


Is the data consistent with the hypothesis that vitamin supplements or fiber cereals do not affect the speed of cyclists? Use a 1% significance level.

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