0.75 Use technology to find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion.
0.75 Use technology to find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Ophthalmology
A study compared mean electroretinogram (ERG) amplitude of patients with different genetic types of
retinitis pigmentosa (RP), a genetic eye disease that often results in blindness. The results shown in the
table were obtained for In(ERG amplitude) among patients 18-29 years of age. (Let population 1 be
patients with dominant RP and population 2 be patients with recessive RP. Use dominant - recessive.
Use α = 0.05.)
Comparison of mean
In(ERG amplitude) by genetic type
among patients with RP
4
Genetic Type Mean ± sd
Dominant
Recessive
X-linked
0.84 ± 0.19
n
63
0.39 ± 0.22 34
-0.1 ± 0.22 29
You can use the Inferential Statistics page and the Distribution Calculators page in SALT to answer parts
of this question.
(a) What is the standard error of In(ERG amplitude) among patients with dominant RP? (Round your
answer to four decimal places.)
0.0239
How does it differ from the standard deviation in the table?
O The standard error reflects the average percentage error for individual patients with dominant
RP while the standard deviation represents the percentage error in the estimate of the mean
In(ERG amplitude) for dominant RP patients.
Deres
O The standard error reflects the percentage error in the estimate of the mean In(ERG amplitude)
for dominant RP patients while the standard deviation represents the average percentage error
for individual patients with dominant RP.
O The standard error represents the between person variation for individual patients with
dominant RP while the standard deviation reflects the error in the estimate of the mean
In(ERG amplitude) for dominant RP patients.
The standard error reflects the error in the estimate of the mean In(ERG amplitude) for
dominant RP patients while the standard deviation represents the between person variation for
individual patients with dominant RP.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeadb183-1175-48ee-be1d-be4cbd36e1e9%2F397ddbd5-8919-4aac-8898-f89ed9ebd7eb%2Furfwie_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ophthalmology
A study compared mean electroretinogram (ERG) amplitude of patients with different genetic types of
retinitis pigmentosa (RP), a genetic eye disease that often results in blindness. The results shown in the
table were obtained for In(ERG amplitude) among patients 18-29 years of age. (Let population 1 be
patients with dominant RP and population 2 be patients with recessive RP. Use dominant - recessive.
Use α = 0.05.)
Comparison of mean
In(ERG amplitude) by genetic type
among patients with RP
4
Genetic Type Mean ± sd
Dominant
Recessive
X-linked
0.84 ± 0.19
n
63
0.39 ± 0.22 34
-0.1 ± 0.22 29
You can use the Inferential Statistics page and the Distribution Calculators page in SALT to answer parts
of this question.
(a) What is the standard error of In(ERG amplitude) among patients with dominant RP? (Round your
answer to four decimal places.)
0.0239
How does it differ from the standard deviation in the table?
O The standard error reflects the average percentage error for individual patients with dominant
RP while the standard deviation represents the percentage error in the estimate of the mean
In(ERG amplitude) for dominant RP patients.
Deres
O The standard error reflects the percentage error in the estimate of the mean In(ERG amplitude)
for dominant RP patients while the standard deviation represents the average percentage error
for individual patients with dominant RP.
O The standard error represents the between person variation for individual patients with
dominant RP while the standard deviation reflects the error in the estimate of the mean
In(ERG amplitude) for dominant RP patients.
The standard error reflects the error in the estimate of the mean In(ERG amplitude) for
dominant RP patients while the standard deviation represents the between person variation for
individual patients with dominant RP.
![O The standard error and standard deviation are different names for the same quantity and are
actually not different at all.
(b) What test can be used to compare the variance of In(ERG amplitude) between patients with dominant
vs. recessive RP?
We can use a z test for the equality of two variances.
O We can use a x² test for the equality of two variances.
O We can use the extreme studentized deviate test for the equality of two variances.
We can use a t test for the equality of two variances.
We can use an F test for the equality of two variances.
(c) Implement the test in (b), and report a p-value (two-tailed). (Use a = 0.05)
State the null and alternative hypotheses. (Enter != for as needed.)
Hoi
H₁: O
2
0.₁=0₂
822
F= Sd²
MANARAK WADERIA
5d2
What is the test statistic? (Round your answer to two decimal places.)
0.75
0.19²
0122.
= 0.75
li
Use technology to find the p-value. (Round your answer to four decimal places.)
p-value =
= 0,74586
State your conclusion.
O Reject Ho. We can conclude that there is a significant difference in the variance of the
In(ERG amplitude) of the dominant and recessive groups.
Fail to reject Ho. We cannot conclude that there is a significant difference in the variance of the
In(ERG amplitude) of the dominant and recessive groups.
O Fail to reject Ho. We can conclude that there is a significant difference in the variance of the
In(ERG amplitude) of the dominant and recessive groups.
O Reject Ho. We cannot conclude that there is a significant difference in the variance of the
In(ERG amplitude) of the dominant and recessive groups.
(d) What test can be used to compare the mean In(ERG amplitude) between patients with dominant vs.
recessive RP?
We can use a two-sample t for two independent samples with equal variances.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeadb183-1175-48ee-be1d-be4cbd36e1e9%2F397ddbd5-8919-4aac-8898-f89ed9ebd7eb%2Fgfkprws_processed.jpeg&w=3840&q=75)
Transcribed Image Text:O The standard error and standard deviation are different names for the same quantity and are
actually not different at all.
(b) What test can be used to compare the variance of In(ERG amplitude) between patients with dominant
vs. recessive RP?
We can use a z test for the equality of two variances.
O We can use a x² test for the equality of two variances.
O We can use the extreme studentized deviate test for the equality of two variances.
We can use a t test for the equality of two variances.
We can use an F test for the equality of two variances.
(c) Implement the test in (b), and report a p-value (two-tailed). (Use a = 0.05)
State the null and alternative hypotheses. (Enter != for as needed.)
Hoi
H₁: O
2
0.₁=0₂
822
F= Sd²
MANARAK WADERIA
5d2
What is the test statistic? (Round your answer to two decimal places.)
0.75
0.19²
0122.
= 0.75
li
Use technology to find the p-value. (Round your answer to four decimal places.)
p-value =
= 0,74586
State your conclusion.
O Reject Ho. We can conclude that there is a significant difference in the variance of the
In(ERG amplitude) of the dominant and recessive groups.
Fail to reject Ho. We cannot conclude that there is a significant difference in the variance of the
In(ERG amplitude) of the dominant and recessive groups.
O Fail to reject Ho. We can conclude that there is a significant difference in the variance of the
In(ERG amplitude) of the dominant and recessive groups.
O Reject Ho. We cannot conclude that there is a significant difference in the variance of the
In(ERG amplitude) of the dominant and recessive groups.
(d) What test can be used to compare the mean In(ERG amplitude) between patients with dominant vs.
recessive RP?
We can use a two-sample t for two independent samples with equal variances.
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