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 H0: μd=0 H1: μd≠0 T statistic: t = 1.053, P value = 0.327 Degrees of Freedom n-1 = 8-1= 7 critical value 2.3646 If t is less than 2.3646, or greater than 2.3646, reject the null hypothesis Level of significance: α=0.05 question: what a type 1 error and type 2 error would mean. Is it possible that we could have committed a type 2 error in conducting the test

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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

H0: μd=0

H1: μd≠0

T statistic: t = 1.053, P value = 0.327

Degrees of Freedom

n-1 = 8-1= 7

critical value

2.3646

If t is less than 2.3646, or greater than 2.3646, reject the null hypothesis

Level of significance:

α=0.05

question:

what a type 1 error and type 2 error would mean. Is it possible that we could have committed a type 2 error
in conducting the test 

One-Sample Statistics
N❘ Mean Std. Deviation Std. Error Mean
8
4.0000
10.74377
3.79850
One-Sample Test
Significance
df One-Sided p Two-Sided p
164
327
One-Sample Effect Sizes
Corneal thickness
difference (normal-
glaucoma) microris
Corneal thickness
difference (normal-
glaucoma) microns
Standardizer Point Estimate
10.74377
Corneal thickness
difference.(perreal-
Cohen's d
372
diaucoma) microns
Hedges correction
12.09607
.331
a. The denominator used in estimating the effect sizes.
Coh n's d uses the sample standard deviation.
Hedges' correction uses the sample standard deviation, plus a correction factor.
t
1.053
Test Value = 0
Mean
Difference
95% Confidence Interval of the
Difference
Lower
Upper
4.00000
95% Confidence Interval
Lower
Upper
-.359
-.319
1.079
.958
-4.9820
12.9820
Transcribed Image Text:One-Sample Statistics N❘ Mean Std. Deviation Std. Error Mean 8 4.0000 10.74377 3.79850 One-Sample Test Significance df One-Sided p Two-Sided p 164 327 One-Sample Effect Sizes Corneal thickness difference (normal- glaucoma) microris Corneal thickness difference (normal- glaucoma) microns Standardizer Point Estimate 10.74377 Corneal thickness difference.(perreal- Cohen's d 372 diaucoma) microns Hedges correction 12.09607 .331 a. The denominator used in estimating the effect sizes. Coh n's d uses the sample standard deviation. Hedges' correction uses the sample standard deviation, plus a correction factor. t 1.053 Test Value = 0 Mean Difference 95% Confidence Interval of the Difference Lower Upper 4.00000 95% Confidence Interval Lower Upper -.359 -.319 1.079 .958 -4.9820 12.9820
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