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 b) c) e) Group Statistics Sleep Quality of Patients Poor Sleep Quality Good Sleep Quality Equal variances assumed 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 t-test for Equality of Means Mean Difference 6.762 6.762 Std. Error Difference 1.8 1.8 Is it reasonable to assume that the population standard deviations of the blood glucose levels in both groups are the same? Explain your answer. 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.
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 b) c) e) Group Statistics Sleep Quality of Patients Poor Sleep Quality Good Sleep Quality Equal variances assumed 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 t-test for Equality of Means Mean Difference 6.762 6.762 Std. Error Difference 1.8 1.8 Is it reasonable to assume that the population standard deviations of the blood glucose levels in both groups are the same? Explain your answer. 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 3CYU
Related questions
Question
How would you answer this question ?
Thanks
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
c)
d)
e)
Group Statistics
Sleep Quality of Patients:
Poor Sleep Quality
Good Sleep Quality
Equal variances
assumed
Equal variances not
assumed
N
37
31
Meant
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
(i)
1.291
1.376
(ii)
df
Sig. (2-tailed)
.001
.001
t-test for Equality of Means
Mean
Difference
6.762
6.762
Std. Error
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 μ₁
4₂.
1.8
-
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL