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.

MATLAB: An Introduction with Applications
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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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