A study investigated whether time perception, an indication of a person’s ability to concentrate, is impaired during nicotine withdrawal. After a 24-hour smoking abstinence, 20 smokers were asked to estimate how much time had passed during a 45-second period. The sample mean perceived elapsed time was ¯x = 59.3 seconds and the sample standard deviation was s = 9.84 seconds. The plots below
A study investigated whether time perception, an indication of a person’s ability to concentrate, is impaired during nicotine withdrawal. After a 24-hour smoking abstinence, 20 smokers were asked to estimate how much time had passed during a 45-second period. The sample mean perceived elapsed time was ¯x = 59.3 seconds and the sample standard deviation was s = 9.84 seconds. The plots below summarize the distribution of perceived elapsed time in the sample. Let µ denote the mean perceived elapsed time in the population of smokers who have abstained from smoking for 24 hours.
(a) Find a 95% confidence interval for µ.
(b) In addition to the assumption that the sample of smokers who have abstained from smoking for 24 hours is a random sample, what other assumption is required for the confidence interval of part (a) to be statistically valid? Is the assumption reasonably satisfied? Explain.
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