Pitch memory of amusiacs. Refer to the Advances in Cognitive Psychology (Vol. 6, 2010) study of pitch memory of amusiacs, Exercise. Recall that diagnosed amusiacs listened to a series of tone pairs and were asked to determine if the tones were the same or different. In the first trial, the tones were separated by 1 second; in the second trial, the tones were separated by 5 seconds. The variable of interest was the difference between scores on the two trials. How many amusiacs would need to participate in the study in order to estimate the true mean score difference for all amusiacs to within .05 with 90% confidence?
Pitch memory of amusiacs. Congenital amusia is a disorder that impacts one’s perception of music. A team of psychologists and neuroscientists tested the pitch memory of individuals diagnosed with amusia and reported their results in Advances in Cognitive Psychology (Vol. 6, 2010). Each in a sample of 17 amusiacs listened to a series of tone pairs, where each tone pair was a standard tone followed by a comparison tone. For each tone pair, the subjects were asked to determine if the tones were the same or different. In one trial, the tones were separated by 1 second. In a second trial, the tones were separated by 5 seconds. (In theory, the longer the delay between tones, the less likely one is to detect a difference between the tones.) Scores in the two trials were compared for each amusiac. The mean score difference was .11 with a standard deviation of .19. Use this information to form a 90% confidence interval for the true mean score difference for all amusiacs. Interpret the result. What assumption about the population of score differences must hold true for the interval to be valid?
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