What is the value for the calculated F (interaction) ? Choose the best answer

University Alpha

Mechanics         80  67 70 48 88 30 67 66 55 47 36 78

Metallurgy          87 77 76 80 67 78 33 56 75 66 57 44

Maths               33 56 68 78 43 89 92 56 78 57 90 54

University Beta

Mechanics       80    77 70 88 88 70 88 77 87 90 90 78

Metallurgy       47    85 87 80 80 88 95 80 75 90 93 84

Maths               47    84 35 79 78 38 54 78 43 90 67 45

What is the P value for the interaction ? Choose the best answer

University Alpha

Mechanics         80  67 70 48 88 30 67 66 55 47 36 78

Metallurgy          87 77 76 80 67 78 33 56 75 66 57 44

Maths               33 56 68 78 43 89 92 56 78 57 90 54

University Beta

Mechanics 80 77 70 88 88 70 88 77 87 90 90 78

Metallurgy 47 85 87 80 80 88 95 80 75 90 93 84

Maths         47 84 35 79 78 38 54 78 43 90 67 45

What are the F calculated values for columns (subject) and rows (student) – choose best answer

The data (of student's scores) for this study follows. State and test the relevant hypotheses at significance level .05, and then carry out a multiple comparisons analysis if appropriate. Should one continue to Tukey test ? Why ? Do it Or Why not ? If Ho is rejected, perhaps one or more factors are significantly different. Choose the best answer.

Student  IT   Chemistry     Biology      History

The data (of student's scores) for this study follows. State and test the relevant hypotheses at significance level .05, and then carry out a multiple comparisons analysis if appropriate. Should one continue to Tukey test ? Why ? Do it Or Why not ? If Ho is rejected, perhaps one or more factors are significantly different. Choose the best answer.

Student  IT   Chemistry     Biology      History

The value of F from the table is (Choose the best answer)

Math English

school A 8087

6777

7076

4880

6067

3078

4767

6656

5575

9066

3623

9945

7844

school B 8087

7785

7087

8880

8880

6088

8877

7780

8775

9090

8093

7884

4854

Numerous  factors  contribute  to  the  smooth  running  of  an electric motor (“Increasing Market Share Through Improved Product  and  Process  Design:  An  Experimental  Approach,” Quality  Engineering,  1991:  361–369).  In  particular,  it  is desirable to keep motor noise and vibration to a minimum. To study the effect that the brand of bearing has on motor vibration, five different motor bearing brands were examined by installing each type of bearing on different random sample of seven motors. The amount of motor vibration (measured in microns) was recorded when each of the 35 motors was running. The data for this study follows. State and test the relevant hypotheses at significance level .05, and then carry out a multiple comparisons analysis if appropriate. Should one continue to Tukey test ? Why ? Do it Or Why not ? If Ho is rejected, perhaps one or more brands are significantly different, do a Tukey analysis.

                                           (samples 1 - 7)

Brand    1         2          3          4             5          6           7

A software house wished to study the effect of four different methods of teaching on the proficiency of individuals creating tax return reports (how fast users can make their reports), i.e. by using their tax return software application.  The methods used were A) verbal cues B)  verbal cues and video taped feed back C) video taped feed back D) the control treatment (neither verbal cues nor video taped feed back).  A group of 24 first-timers (who had never made a tax return report), was randomly divided into four groups of six subjects each.  Each group of subjects was taught using one of the four methods, and at the end of the course, each subject was timed while creating a certain tax return report (use 5% tolerance).    If Ho is rejected then Use Tukey to find the teaching method which has the most impact on time to create the tax report. The result is in the following table (in minutes) :   Teaching methods = A-D (four)

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

A software house wished to study the effect of four different methods of teaching on the proficiency of individuals creating tax return reports (how fast users can make their reports), i.e. by using their tax return software application.  The methods used were A) verbal cues B)  verbal cues and video taped feed back C) video taped feed back D) the control treatment (neither verbal cues nor video taped feed back).  A group of 24 first-timers (who had never made a tax return report), was randomly divided into four groups of six subjects each.  Each group of subjects was taught using one of the four methods, and at the end of the course, each subject was timed while creating a certain tax return report (use 5% tolerance).    If Ho is rejected then Use Tukey to find the teaching method which has the most impact on time to create the tax report. The result is in the following table (in minutes) :   Teaching methods = A-D (four)

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