455-464) describes an experiment in which male athlete volunteers who were considered low caffeine consum- ers were assigned at random to one of two experimental groups. Those assigned to the caffeine group drank a beverage which contained caffeine 1 hour before an exercise session. Those in the no-caffeine group drank a beverage that did not contain caffeine 1 hour before an exercise session. That night, participants wore a device that measures sleep activity. The researchers reported that there was no significant difference in mean sleep duration for the two experimental groups. In the context of this experiment, explain what it means to say that there is no significant difference in the group means. In particular, explain if this means that the mean sleep durations for the two groups are equal.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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455-464) describes an experiment in which male athlete
volunteers who were considered low caffeine consum-
ers were assigned at random to one of two experimental
groups. Those assigned to the caffeine group drank a
beverage which contained caffeine 1 hour before an
exercise session. Those in the no-caffeine group drank a
beverage that did not contain caffeine 1 hour before an
exercise session. That night, participants wore a device
that measures sleep activity. The researchers reported that
there was no significant difference in mean sleep duration
for the two experimental groups. In the context of this
experiment, explain what it means to say that there is no
significant difference in the group means. In particular,
explain if this means that the mean sleep durations for the
two groups are equal.
Transcribed Image Text:455-464) describes an experiment in which male athlete volunteers who were considered low caffeine consum- ers were assigned at random to one of two experimental groups. Those assigned to the caffeine group drank a beverage which contained caffeine 1 hour before an exercise session. Those in the no-caffeine group drank a beverage that did not contain caffeine 1 hour before an exercise session. That night, participants wore a device that measures sleep activity. The researchers reported that there was no significant difference in mean sleep duration for the two experimental groups. In the context of this experiment, explain what it means to say that there is no significant difference in the group means. In particular, explain if this means that the mean sleep durations for the two groups are equal.
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