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Thank you 5.3 Data by Mazze et al. [1971] deal with the preoperative and postope

ID: 2921588 • Letter: T

Question

Thank you

5.3 Data by Mazze et al. [1971] deal with the preoperative and postoperative creatinine clearance (ml/min) of six patients anesthetized by halothane: PROBLEMS 143 Patient 4 6 Preoperative 110 10161 73 143 118 Postoperative 149 105 162 93 143 100 (a) Why is the paired t-test preferable to the two-sample t-test in this case? (b) Carry out the paired t-test and test the significance of the difference. (c) What is the model for your analysis? (d) Set up a 99% confidence interval on the difference (e) Graph the data by plotting the pairs of values for each patient.

Explanation / Answer

Ans:

a)As,the samples i.e patients are the same for both processes preoperative and postoperation,so samples are dependents,so paired t-test will be appropriate .

(t -test for Indpendent samples,where use two independent group or samples)

b)

Test statistic:

t=(-24.33-0)/(42.21/sqrt(6))=-1.41

degree of frredom=6-1=5

p-value(two tailed)=0.2176

Assume significance level=0.05

As,p-value>0.05,we fail to reject null hypothesis.

There is sufficeint evidence to suggest that there is no significant diffrence in means for preoperative and postoperative process.

t* for 99% CI and df=5 is 4.032

99% Confidence interval:

=-24.33+/-4.032*(42.21/sqrt(6))

=24.33+/-69.48

=(-45.15,93.81)

As,confidence interval includes 0,so it indicates there is no significant difference in mean of the preoperative and postoperative process.

Preoperative Postoperative difference(d) 1 110 149 -39 2 101 105 -4 3 61 162 -101 4 73 93 -20 5 143 143 0 6 118 100 18 mean of d -24.33 sd 42.21
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