In: Statistics and Probability
QUESTION 1
In a study designed to compare fasting blood sugar readings for 3 groups of diabetic patients, one group used insulin to control the problem, one group used oral drugs and another group used diet and exercise. The blood sugar readings for the three samples are shown below. Conduct an ANOVA test to determine if there is a difference in the three different treatments effect to blood sugar (Ho: Blood sugar means are equivalent , Ha: At least one of the means is different). Conduct this test at alpha equal .05. Answer each of the questions. What are the degrees of freedom for the treatment?
Insulin | Oral Drug | Diet/Exercise |
110 | 120 | 100 |
95 | 135 | 95 |
125 | 140 | 110 |
130 | 130 | 115 |
110 | 125 | 100 |
2 |
||
3 |
||
4 |
||
5 |
||
Cannot Answer the question as there is not enough information provided |
Hypothesis Tests are defined as
a. |
A process that uses sample statistics to test claim about the value of a population parameter |
|
b. |
A process that involves calculating probabilities of normal distributions |
|
c. |
A process that involves determining the upper and lower value confidence intervals associated with the distribution |
|
d. |
All of the above |
|
e. |
None of the above |
QUESTION 5
Which of the following statements is true about hypothesis testing
a. |
Hypothesis testing is always two sided |
|
b. |
It is a process by which a decision is made by calculating probability of the binomial distribution |
|
c. |
A process where the "burden of proof" is traditionally on the alternate hypothesis. As such, it is up to the analyst to provide evidence in support of the alternate hypothesis |
|
d. |
All of the above |
|
e. |
None of the above |
QUESTION 6
For a one way analysis of variance problem, If degrees of freedom for the treatment (or factor) is three, then what is the null hypothesis being tested?
Ho: U1 = U2 = U3 |
||
Ho: U1 = U2 = U3 = U4 |
||
Ho: U = Do |
||
The null Hypothesis cannot be determined from this information |
a. |
A process that uses sample statistics to test claim about the value of a population parameter |
Among the following statements the one that is true about hypothesis testing -
c. |
A process where the "burden of proof" is traditionally on the alternate hypothesis. As such, it is up to the analyst to provide evidence in support of the alternate hypothesis |
For a one way analysis of variance problem, If degrees of freedom for the treatment (or factor) is three, then the null hypothesis that is being tested -
Ho: U1 = U2 = U3 = U4
(since , degrees of freedom = the number of treatments - 1, so, the number of treatments = degrees of freedom + 1 = 3 + 1 = 4. Ui (i = 1,2,3,4) are the population means for each treatment. This follows the answer above)
If you like my answer, please give a thumbs up! Thank you so much...