A biologist wished to study the effects of ethanol on sleep time. A sample of 80 rats, matched for age and other characteristics, was selected, and each rat was given an oral injection having a particular concentration of ethanol per body weight. The rapid eye movement (REM) sleep time for each rat was then recorded for a 24-hour period. The results are summarized in the side-by-side boxplots below. (a) How is the amount of ethanol given related to the median REM sleep time? Explain. (b) Does the amount of ethanol given affect the variability of REM sleep time? Explain. (c) What amount of ethanol given leads to the most skewed distribution of sleep times? (d) Is the distribution of REM sleep times for the rats given 2 g/kg ethanol symmetric, skewed left, or skewed right?
A biologist wished to study the effects of ethanol on sleep time. A sample of 80 rats, matched for age and other characteristics, was selected, and each rat was given an oral injection having a particular concentration of ethanol per body weight. The rapid eye movement (REM) sleep time for each rat was then recorded for a 24-hour period. The results are summarized in the side-by-side boxplots below.
(a) How is the amount of ethanol given related to the median REM sleep time? Explain.
(b) Does the amount of ethanol given affect the variability of REM sleep time? Explain.
(c) What amount of ethanol given leads to the most skewed distribution of sleep times?
(d) Is the distribution of REM sleep times for the rats given 2 g/kg ethanol symmetric, skewed left,
or skewed right?
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