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Want to know the steps for these questions, please? A dietitian wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. He randomly selected 15 overweight persons, randomly divided them int

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Use the following information for questions 33 – 42.

A dietitian wanted to test three different diets to find out whether or not the mean weight loss for each of these diets is the same. He randomly selected 15 overweight persons, randomly divided them into three groups, and put each group on one of the three diets. The table shown below records the weights lost by these persons after being on these diets for six weeks.

Diet A

Diet B

Diet C

7

4

15

10

3

12

4

6

17

6

4

16

8

7

11

By using the ANOVA procedure, we wish to test the null hypothesis that the mean weight lost by all persons on each of the three diets is the same.

33.    The value of Sx is:

         a.   145


         b.   130

         c.   155

         d.   168

 

34.    The value of Sx2 is:

         a.   1704

         b.   1275

          c.   1090


         d.   1426

 

35.    The value of SSB is:

         a.   169.353

         b.   311.827

         c.   208.466


         d.   241.733

 

36.    The value of SSW is:


         a.   57.600

         b.   118.525

         c.   257.450

         d.   146.713

 

37.    The value of MSB is:

         a.   158.952

         b.   75.500

          c.   110.456


         d.   120.867

 

38.    The value of MSW is:


         a.   4.800

         b.   12.540

         c.   18.955

         d.   8.769

 

39.    The degrees of freedom for the numerator of the F distribution are:

         a.   3


         b.   2

         c.   15

         d.   12

 

40.    The degrees of freedom for the denominator of the F distribution are:

         a.   15


         b.   12

          c.   18

         d.   2

 

41.    The significance level is 2.5%. The critical value of F is:

         a.   4.75

         b.   3.18


         c.   5.10

         d.   9.57

 

42.    The significance level is 2.5%. The value of the test statistic F is:

         a.   18.700


         b.   25.181

         c.   33.674

         d.   11.750

 

 

Multiple Choice Summary Table

Item

Answer

Item

Answer

Item

Answer

Item

Answer



           1.             

b

      12.             

d

      23.             

c

      34.             

d



           2.             

b

      13.             

b

      24.             

d

      35.             

d

            45.           


           3.             

c

      14.             

b

      25.             

d

      36.             

a

            46.           


           4.             

c

      15.             

a

      26.             

a

      37.             

d

            47.           


           5.             

c

      16.             

c

      27.             

c

      38.             

a

            48.           


           6.             

d

      17.             

c

      28.             

c

      39.             

b

            49.           


           7.             

b

      18.             

d

      29.             

a

      40.             

b

            50.           


           8.             

d

      19.             

b

      30.             

b

      41.             

c

            51.           


           9.             

c

      20.             

b

      31.             

b

      42.             

b



       10.             

d

      21.             

c

      32.             

c

      43.             




       11.             

b

      22.             

b

      33.             

b

      44.             




 

 


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