questions statistics homework
statistics homework, there are analytical questions , please read before let me know if you can do it, 1.- A RN performed a two groups clinical trial with for A1C patients that were controlling its diabetes with Metformin ( group A) and Metformin with Glyburide (group B), after 3 month taking the tablets, with the following A1C results:
|
Group A |
5.2 |
5.8 |
5.4 |
4.2 |
4.7 |
5.7 |
5.3 |
5.6 |
5.4 |
6.0 |
|
Group B |
4.8 |
4.9 |
5.0 |
4.4 |
5.1 |
5.9 |
5.8 |
5.2 |
5.7 |
5.6 |
Normal ranges for hemoglobin A1c in people without diabetes is about 4% to 5.9%. People with diabetes with poor glucose control have hemoglobin A1c levels above 7%
The data was analyzed by SPSS obtaining:
|
Statistics |
|||
|
A1CGroupA |
A1CGropupB |
||
|
N |
Valid |
10 |
10 |
|
Missing |
0 |
0 |
|
|
Mean |
5.330 |
5.240 |
|
|
Std. Error of Mean |
.1693 |
.1558 |
|
|
Median |
5.400 |
5.150 |
|
|
Mode |
5.4 |
4.4a |
|
|
Std. Deviation |
.5355 |
.4926 |
|
|
Variance |
.287 |
.243 |
|
|
Skewness |
-1.103 |
-.147 |
|
|
Std. Error of Skewness |
.687 |
.687 |
|
|
Kurtosis |
1.135 |
-.996 |
|
|
Std. Error of Kurtosis |
1.334 |
1.334 |
|
|
Range |
1.8 |
1.5 |
|
|
Percentiles |
25 |
5.075 |
4.875 |
|
50 |
5.400 |
5.150 |
|
|
75 |
5.725 |
5.725 |
|
|
a. Multiple modes exist. The smallest value is shown |
|||
|
|
a.- Explain why a multimode result was reported for group B and from its graph report the values of both modes.
b.- Can we reject that the data of both groups depart from Normality?. Explain your conclusion with the corresponding values.
c.- The following table shows the t test comparing both independent groups:
|
Independent Samples Test |
||||||||||
|
Levene’s Test for Equality of Variances |
t-test for Equality of Means |
|||||||||
|
F |
Sig. |
t |
df |
Sig. (2-tailed) |
Mean Difference |
Std. Error Difference |
95% Confidence Interval of the Difference |
|||
|
Lower |
Upper |
|||||||||
|
A1Cbothgroups |
Equal variances assumed |
.032 |
.860 |
.391 |
18 |
.700 |
.09000 |
.23010 |
-.39342 |
.57342 |
|
Equal variances not assumed |
.391 |
17.876 |
.700 |
.09000 |
.23010 |
-.39366 |
.57366 |
|||
c-1- Express the null and the alternative hypothesis for this situation.
c.2.-Report the value of the t test: ____________
c.3.-Can we conclude that the results for both groups are significantly different? ____________
c.4- Conclude about the hypothesis that support your results._____________
c.5.- Discuss the meaning of the 95% confidence interval of the difference:_
c.4.- Mark in both graphs the upper and lower quartile, the median and the 95% confidence interval for each group and if there is an outlier.
Note the t critical, for df=18, sig.=0.05 and two tail test = 2.101
2.- The following glucose results came from 36 females selected from a Hospital.
The average value of the group = 144.8 mg/dL . with a variance (S2 ) = 9.0
Is that value significantly higher than the limit for prediabetes historically expected 140 mg/dL.?
Calcule the Zscore =
b.-Select the proper Zcritical for your comparison: Zcritical = 1.645 (one tail) or Zcritical =2.0 (two tails)
c.- Can you tell that the group should be considered prediabetic and deserves a proper treatment?
3.- The historical proportion of a certain disease in a South American tropical town is 0.9 % (group A) but in a rainy season the RN found 12 cases in a population of 1255 inhabitants (group B). Should the nurse recommend special measures?
Determine the Zscore, and answer yes or no.
Can she support that there is a significant difference between group A and B?
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