A biologist wished to study the effects of ethanol on sleep time. A sample of 20 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, with the following results: (Example 10-6 [1]). Does the data indicate that the true average REM sleep time depends on the concentration of ethanol? (This example is based on an experiment reported in “Relationship of Ethanol Blood Level to REM and Non-REM Sleep Time and Distribution in the Rat, “Life Sciences”, 1978: 839–846). Use 95% confidence interval. If Ho is rejected then use Tukey to find the method which has the most impact on REM due to ethanol.
   Treatment
   (concentration of ethanol)
0 (control)    90      88        91.4     88.6      85
1   g/kg         50.1   53.9     69.2     63         71.5
2   g/kg         56.3   59.5     40.2     11.9      38.7
4   g/kg         25.2   39.6     45.3     31         22.7 H0 : mu1 = mu2 = mu3 = m4   all means are equal
H1 : At least one of the means is different from the others.

Question

A biologist wished to study the effects of ethanol on sleep time. A sample of 20 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, with the following results:  (Example 10-6 [1]).  Does the data indicate that the true average REM sleep time depends on the concentration of ethanol?  (This example is based on an experiment reported in “Relationship of Ethanol Blood Level to REM and Non-REM Sleep Time and Distribution in the Rat, “Life Sciences”, 1978: 839–846).  Use 95% confidence interval.  If Ho is rejected then use Tukey to find the method which has the most impact on REM due to ethanol. 
                                          Treatment  
                          (concentration of ethanol)     
 0 (control)    90      88        91.4     88.6      85 
 1   g/kg         50.1   53.9     69.2     63         71.5 
 2   g/kg         56.3   59.5     40.2     11.9      38.7 
 4   g/kg         25.2   39.6     45.3     31         22.7 H0 :  mu1 = mu2 = mu3 = m4   all means are equal 
 H1 :  At least one of the means is different from the others.

Answer

Hence f calc >= F(table) is  True 
 22.76        >= 3.34  is  True

Answer

Hence f calc >= F(table) is  False 
 3.24        >=   22.7   is False

Answer

Hence f calc >= F(table) is  True 
 25.56        >= 3.24  is  True

Answer

Hence f calc >= F(table) is  True 
 22.71        >= 3.24  is  True

Answer

Hence f calc >= F(table) is  True 
 22.72        >= 3.24  is  True

Answer

Hence f calc >= F(table) is  True 
 22.67        >= 3.24  is  True

Answer

Hence f calc >= F(table) is  True 
 22.76        >= 3.04  is  True

Answer

Hence f calc >= F(table) is  True 
 22.76        >= 3.24  is  True

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A biologist wished to study the effects of ethanol on sleep time. A sample of 20...

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