Find the test statistic. t= (Round to two decimal places as needed.) Find the critical value(s). The critical value(s) is/are. (Round to two decimal places as needed. Use a comma to separate answers as needed.). What is the conclusion for the hypothesis test? Ho: the data sufficient evidence at the 5% significance level that mean corneal thickness in normal eyes is that in eyes with glaucoma.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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Glaucoma is a leading cause of blindness in a country. An ophthalmologist measured the corneal thickness of eight patients who had glaucoma in one eye but not in the other. The data on corneal
thickness, in microns, are shown in the accompanying table. Preliminary data analyses indicate that use of a paired t-test is reasonable. At the 5% significance level, do the data provide sufficient
evidence to conclude that mean corneal thickness is greater in normal eyes than in eyes with glaucoma? Use the critical-value approach.
Click here to view the data. Click here to view a table of critical values of t.
What are the hypotheses for the t-test? Let population 1 be corneal thickness in normal eyes and let population 2 be corneal thickness in eyes with glaucoma.
OA. Ho: H₁ H₂
H₂: H₁ H₂
OB. Ho: H1 H₂
Hai Hq> H2
OC. Ho: H₁ H₂
Hai Ha<H2
OD. Ho: H1 H₂
H₂: H₁ H₂
Find the test statistic.
t=
(Round to two decimal places as needed.)
Find the critical value(s).
The critical value(s) is/are
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
What is the conclusion for the hypothesis test?
Ho; the data
sufficient evidence at the 5% significance level that mean corneal thickness in normal eyes is
that in eyes with glaucoma.
Transcribed Image Text:Glaucoma is a leading cause of blindness in a country. An ophthalmologist measured the corneal thickness of eight patients who had glaucoma in one eye but not in the other. The data on corneal thickness, in microns, are shown in the accompanying table. Preliminary data analyses indicate that use of a paired t-test is reasonable. At the 5% significance level, do the data provide sufficient evidence to conclude that mean corneal thickness is greater in normal eyes than in eyes with glaucoma? Use the critical-value approach. Click here to view the data. Click here to view a table of critical values of t. What are the hypotheses for the t-test? Let population 1 be corneal thickness in normal eyes and let population 2 be corneal thickness in eyes with glaucoma. OA. Ho: H₁ H₂ H₂: H₁ H₂ OB. Ho: H1 H₂ Hai Hq> H2 OC. Ho: H₁ H₂ Hai Ha<H2 OD. Ho: H1 H₂ H₂: H₁ H₂ Find the test statistic. t= (Round to two decimal places as needed.) Find the critical value(s). The critical value(s) is/are (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion for the hypothesis test? Ho; the data sufficient evidence at the 5% significance level that mean corneal thickness in normal eyes is that in eyes with glaucoma.
tic.
cimal
alue(s)
Corneal Thickness Data
Patient Normal Glaucoma O
1
454
459
2
462
461
3
490
480
4
447
431
482
484
408
422
454
451
431
418
5
6
7
8
Print
Done
I
X
Transcribed Image Text:tic. cimal alue(s) Corneal Thickness Data Patient Normal Glaucoma O 1 454 459 2 462 461 3 490 480 4 447 431 482 484 408 422 454 451 431 418 5 6 7 8 Print Done I X
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