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

H0 :  mu1 = mu2 = mu3 = m4   all means are equal

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.  Then x..=

H0 :  mu1 = mu2 = mu3 = m4   all means are equal

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.

H0 :  mu1 = mu2 = mu3 = m4   all means are equal

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.

H0 :  mu1 = mu2 = mu3 = m4   all means are equal

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.

H0 :  mu1 = mu2 = mu3 = m4   all means are equal

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.

H0 :  mu1 = mu2 = mu3 = m4   all means are equal

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.

H0 :  mu1 = mu2 = mu3 = m4   all means are equal

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.

H0 :  mu1 = mu2 = mu3 = m4   all means are equal

A random sample of 200 adults are classified below by sex and their level of education attained.

Education Male Female (two numbers are in sequence)

Elementary  38   45

Secondary   28    50

College         22    17

If a person is picked at random from this group, find the probability that the person does not have a college degree, given that the person is a male

The proportion of adults living in a small town who are highschool graduates is estimated to be p equal to 0.5. To test this hypothesis, a random sample of 14 adults is selected. If the number of highschool graduates in the sample is anywhere from 6 to 12, we shall not reject the null hypothesis that p is equal to 0.5, otherwise, we shall conclude that p is not equal to 0.5. Evaluate the value of alpha.