A study about the blood glucose levels (in mg/dL) of diabetic patients is performed. You wish to test whether there is a significant difference in the blood glucose levels of diabetic patients with good sleep quality and poor sleep quality. By using SPSS, the two-sample t-test is done and the following SPSS outputs are obtained (with some information hidden). Blood Glucose Level Poor Sleep Quality Good Sleep Quality Blood Glucose Level Equal variances assumed Group Statistics Sleep Quality of Patients c) d) e) Equal variances not assumed N 37 31 Mean 121.73 114.97 F Std. Deviation 7.852 7.662 Levene's Test for Equality of Variances 062 Independent Samples Test Sig 804 Std. Error Mean t 1.291 1.376 (i) (ii) df Sig (2-tailed) 001 001 Hest for Equality of Means Mean Difference 6.762 6.762 a) Is it reasonable to assume that the population standard deviations of the blood glucose levels in both groups are the same? Explain your answer. b) In the hypothesis test, what should be the degree of freedom and the test statistic value under the assumption in (a)? Where, in (i) or (ii), should the test statistic value computed in (b) appear in the SPSS output above? Report the p-value of the test. Write the conclusion in the subject matter. Suppose ₁ and ₂ are the population mean blood glucose levels of diabetic patients with good and poor sleep quality respectively. Find the 95% confidence interval for ₁- H₂. Std Error Difference 1.
A study about the blood glucose levels (in mg/dL) of diabetic patients is performed. You wish to test whether there is a significant difference in the blood glucose levels of diabetic patients with good sleep quality and poor sleep quality. By using SPSS, the two-sample t-test is done and the following SPSS outputs are obtained (with some information hidden). Blood Glucose Level Poor Sleep Quality Good Sleep Quality Blood Glucose Level Equal variances assumed Group Statistics Sleep Quality of Patients c) d) e) Equal variances not assumed N 37 31 Mean 121.73 114.97 F Std. Deviation 7.852 7.662 Levene's Test for Equality of Variances 062 Independent Samples Test Sig 804 Std. Error Mean t 1.291 1.376 (i) (ii) df Sig (2-tailed) 001 001 Hest for Equality of Means Mean Difference 6.762 6.762 a) Is it reasonable to assume that the population standard deviations of the blood glucose levels in both groups are the same? Explain your answer. b) In the hypothesis test, what should be the degree of freedom and the test statistic value under the assumption in (a)? Where, in (i) or (ii), should the test statistic value computed in (b) appear in the SPSS output above? Report the p-value of the test. Write the conclusion in the subject matter. Suppose ₁ and ₂ are the population mean blood glucose levels of diabetic patients with good and poor sleep quality respectively. Find the 95% confidence interval for ₁- H₂. Std Error Difference 1.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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would you please help with d and e? Thank you
Transcribed Image Text:A study about the blood glucose levels (in mg/dL) of diabetic patients is performed. You wish
to test whether there is a significant difference in the blood glucose levels of diabetic patients
with good sleep quality and poor sleep quality. By using SPSS, the two-sample t-test is done
and the following SPSS outputs are obtained (with some information hidden).
Blood Glucose Level
Blood Glucose Level Equal variances
assumed
c)
Group Statistics
Sleep Quality of Patients
Poor Sleep Quality
Good Sleep Quality
d)
e)
Equal variances not
assumed
N
37
31
Mean Std. Deviation
121.73
114.97
Levene's Test for Equality of
Variances
062
7.852
7.662
Sig.
Independent Samples Test
804
Std. Error
Mean
t
1.291
1.376
(i)
df
Sig. (2-tailed)
001
001
F-test for Equality of Means
Mean
Difference
6:762
6.762
Std. Errol
Difference
1.8
a)
Is it reasonable to assume that the population standard deviations of the blood glucose
levels in both groups are the same? Explain your answer.
b)
In the hypothesis test, what should be the degree of freedom and the test statistic value
under the assumption in (a)?
Where, in (i) or (ii), should the test statistic value computed in (b) appear in the SPSS
output above?
Report the p-value of the test. Write the conclusion in the subject matter.
Suppose ₁ and ₂ are the population mean blood glucose levels of diabetic patients
with good and poor sleep quality respectively. Find the 95% confidence interval for ₁.
H₂-
1.8
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