Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured the difference in corneal thickness (in microns) between the two eyes of eight patients. Each patient had one eye that had glaucoma and one eye that was normal. The difference was measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma. Corneal thickness is important because it can mask an accurate reading of eye pressure. Use ? = .05. Q)Conduct a hypothesis test to determine if there is sufficient evidence to conclude that corneal thickness is different in normal eyes compared to eyes with glaucoma? Write up your results using the 8 steps.
Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured
the difference in corneal thickness (in microns) between the two eyes of eight patients.
Each patient had one eye that had glaucoma and one eye that was normal. The
difference was measured as the corneal thickness of normal eye – corneal thickness
of eye with Glaucoma. Corneal thickness is important because it can mask an
accurate reading of eye pressure.
Use ? = .05.
Q)Conduct a hypothesis test to determine if there is sufficient evidence to
conclude that corneal thickness is different in normal eyes compared to eyes
with glaucoma? Write up your results using the 8 steps.
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Paired Samples Statistics
Mean
Std. Deviation
Std. Error Mean
Pair 1
Patient
4.50
8
2.449
.866
Corneal thickness
4.0000
8
10.74377
3.79850
difference (normal-
glaucoma) microns
Paired Samples Correlations
Significance
Correlation One-Sided p Two-Sided p
Pair 1
Patient & Corneal
8
.206
312
.624
thickness difference
(normal-glaucoma)
microns
Paired Samples Test
Paired Differences
Significance
95% Confidence Interval of the
Difference
Mean
Std. Deviation
Std. Error Mean
Lower
Upper
df
One-Sided p Two-Sided p
Pair 1
Patient - Corneal thickness
.50000
10.51529
3.71772
-8.29101
9.29101
.134
7
.448
.897
difference (normal-
glaucoma) microns
Paired Samples Effect Sizes
95% Confidence Interval
Standardizer Point Estimate
Lower
Upper
Pair 1
Patient - Corneal thickness
Cohen's d
7.792
.064
-.632
.756
difference (normal-
glaucoma) microns
Hedges' correction
8.773
.057
-.561
.671
a. The denominator used in estimating the effect sizes.
Cohen's d uses the square root of the average variance of measures.
Hedges' correction uses the square root of the average variance of measures, plus a correction factor.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dcc9d60-c3f9-437c-863e-6fac6c5d7996%2F30a727b4-06f7-4bbc-a947-b75e556d2e7c%2Fccw0tc_processed.png&w=3840&q=75)
![: Corneal_Diff
Visible: 2 of 2 Variables
Patient
Corneal Diff
var
var
var
var
1
1
-4.00
2
.00
3
12.00
4
4
18.00
5
-4.00
6
6
-12.00
7
6.00
8
8
16.00
9
10
11
12
13
14
15
Data View Variable View
Case... IBM SPSS Statistics Processor is ready
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7.
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dcc9d60-c3f9-437c-863e-6fac6c5d7996%2F30a727b4-06f7-4bbc-a947-b75e556d2e7c%2Firxecrg_processed.png&w=3840&q=75)
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Write a report summarizing your findings. When writing the
report consider that medical staff estimate that a difference of 4.5 microns
or more could impact on their ability to interpret eye pressure correctly.
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