Amusia is a congenital disorder that adversely impacts one's perception of music. A study examined the pitch memory of individuals diagnosed with amusia. Each in a sample of 20 amusiacs listened to a series of tone pairs and was asked to determine if the tones were the same or different. In the first trial, the tones were separated by 1 second, in a second trial, the tones were separated by 5 seconds. The difference in accuracy scores for the two trials was determined for each amusiac (where the difference in the score on the first trial minus the score on the second trial). The mean score was 0.14 with a standard deviation of 0.18. Complete parts a through b below. a. In theory, the longer the delay between tones, the less likely one is to detect a difference between the tones. Consequently, the true mean score difference should exceed 0. Set up the null and alternative hypotheses for testing the theory. O A. Ho: ut0 H,u=0 O B. Ho: H=0 OC. Ho: =0 O D. Ho: =0 H, p>0 b. Carry out the test, part a, using a= 0.05. Is there evidence to support the theory? t=O (Round to two decimal places as needed.) The p-value of the test isO. (Round to three decimal places as needed.) Give the appropriate conclusion for the test. Ho. There is v evidence indicate the longer delay between tones, the less likely one is to detect a difference between the tones.
Amusia is a congenital disorder that adversely impacts one's perception of music. A study examined the pitch memory of individuals diagnosed with amusia. Each in a sample of 20 amusiacs listened to a series of tone pairs and was asked to determine if the tones were the same or different. In the first trial, the tones were separated by 1 second, in a second trial, the tones were separated by 5 seconds. The difference in accuracy scores for the two trials was determined for each amusiac (where the difference in the score on the first trial minus the score on the second trial). The mean score was 0.14 with a standard deviation of 0.18. Complete parts a through b below. a. In theory, the longer the delay between tones, the less likely one is to detect a difference between the tones. Consequently, the true mean score difference should exceed 0. Set up the null and alternative hypotheses for testing the theory. O A. Ho: ut0 H,u=0 O B. Ho: H=0 OC. Ho: =0 O D. Ho: =0 H, p>0 b. Carry out the test, part a, using a= 0.05. Is there evidence to support the theory? t=O (Round to two decimal places as needed.) The p-value of the test isO. (Round to three decimal places as needed.) Give the appropriate conclusion for the test. Ho. There is v evidence indicate the longer delay between tones, the less likely one is to detect a difference between the tones.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:Amusia is a congenital disorder that adversely impacts one's perception of music. A study examined the pitch memory of individuals diagnosed with amusia. Each in a sample of 20 amusiacs listened to a series of tone pairs and was asked to determine if
the tones were the same or different. In the first trial, the tones were separated by 1 second; in a second trial, the tones were separated by 5 seconds. The difference in accuracy scores for the two trials was determined for each amusiac (where the
difference in the score on the first trial minus the score on the second trial). The mean score was 0.14 with a standard deviation of 0.18. Complete parts a through b below.
a. In theory, the longer the delay between tones, the less likely one is to detect a difference between the tones. Consequently, the true mean score difference should exceed 0. Set up the null and alternative hypotheses for testing the theory.
O A. Ho: H 0
H,i u= 0
O B. Ho: µ=0
OC. Ho: H=0
H,: u<0
O D. H,: µ=0
H,: u>0
b. Carry out the test, part a, using a= 0.05. Is there evidence to support the theory?
t= (Round to two decimal places as needed.)
The p-value of the test is
(Round to three decimal places as needed.)
Give the appropriate conclusion for the test
Ho. There is
V evidence to indicate the longer delay between tones, the less likely one is to detect a difference between the tones.
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