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In: Statistics and Probability

1. The reaction of an individual to a stimulus in a psychological experiment may take one...

1. The reaction of an individual to a stimulus in a psychological experiment may take one of the two forms: A or B. An experimenter wishes to estimate the true proportion of people who will react in manner A. How many people must she include in the sample if she wants to estimate the true proportion with a 85% confidence interval of length 0. 06? Also, assume that a pilot study had revealed the proportion to be somewhere around 15%.

2. Suppose the sample mean lifetime of twenty-five batteries of a certain type (say Type A) was found to be 4. 1 hours with a corresponding standard deviation 0. 87 hours. Similarly, the sample mean lifetime of twenty-two batteries of another type (say Type B) was found to be 4. 9 hours with a corresponding standard deviation 0. 42 hours. At a significance level of alpha = 0. 02, is there enough evidence that Type A batteries is inferior to Type B?

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orchestra answered 1 year ago
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