INDEPENDENT SAMPLES: An exercise physiologist is interested in examining the effect of a diabetes education intervention (designed to teach parents about healthy eating and physical activity) on the number of diabetes diagnoses that occur within the following year in a sample of pre-diabetic children.A total of 12 families with pre-diabetic children are recruited.Six families were in the diabetes education group and 6 were in the control group.The number of diagnoses for each family are recorded in the Table below.

Family Group # of diagnoses in year 1

1 Diabetes education 10

2 Diabetes education 8

3 Diabetes education 5

4 Diabetes education 4

5 Diabetes education 6

6 Diabetes education 10

7 Control 7

8 Control 8

9 Control 9

10 Control 6

11 Control 5

12 Control 9

1. What is your null hypothesis for this research question?
2. Using an independent samples t-test, calculate the observed t-statistic from the data above in Excel.Hint: You'll need to calculate the mean and sum of squares for each group.
3. What is the critical t-value for this research question?Hint: Use the table of critical values and the degrees of freedom to locate this value.The alpha = 0.05.
4. What can you conclude based on your data?Do you reject or fail to reject the null hypothesis?

(a) Ho: u1 - u2 =0; H1: u1 - u2 0

(b) test statistic: -0.1343

(c) critical value: -2.306 , 2.306

(d) p-value: 0.896, fail to reject Ho, no difference between different methods

DEPENDENT SAMPLES: Using the same groups as above, the researcher continues the intervention for a second year and wants to know if the number of diagnoses varies between year 1 and year 2.Only the 6 families receiving the intervention are followed.The number of diagnoses for each family are recorded in the Table below.

Family Group # of diagnoses in year 1 # of diagnoses in year 2

1 Diabetes education 10 6

2 Diabetes education 8 5

3 Diabetes education 5 6

4 Diabetes education 4 4

5 Diabetes education 6 2

6 Diabetes education 10 3

1. What is your null hypothesis for this research question?
2. Using andependentsamples t-test, calculate the observed t-statistic from the data above in Excel.Hint: You'll need to calculate the sum of differences and the sum of squared differences for each group.
3. What is the critical t-value for this research question?Hint: Use the table of critical values and the degrees of freedom to locate this value.The alpha = 0.05.
4. What can you conclude based on your data?Do you reject or fail to reject the null hypothesis?

Need the answers to the 4 questions of the dependent samples please.