Question

Problem 3 Standard errors of the mean of the variance: 1 1) Short term memory is part of the brain storage system which is capable of storing information for a brief period of time. At any one time short term memory can contain seven, plus or minus two, "chunks" of information. If short term memory tries to acquire more items than it can handle, the middle items will often be displaced. Items remain in short term memory around twenty seconds. Substantial evidence exists to support a general dependency of reasoning upon short term memory capacity. The longer information is stored in short term memory the easier it is to manipulate information needed in the execution of complex cognitive tasks (e.g. short term memory has been shown to be correlated with problem solving, learning, reasoning, and reading comprehension) We will conduct in class a simple experiment assessing capability of students' in the class to retain strings of 7-digit strings of numbers (instructions will be provided in class). Calculations below refer to the data collected in this experiment. The 90% confidence interval of the proportion of the student population who are capable of holding 7-digits in their short-term memory Total number of students participating: 100 Number of students reporting successful completion of the tes Proportion of students successful in 7-digit test: p A. 83 or B. what sample size is necessary to have for 98% confidence level with a maximum error of 2%? C. What is the actual measurement error with the given sample size?

Answer 1

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