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Jump to Fall17-TREHAN > Activities and Due Dates > HW 8-Confidence Intervals ent

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Question

Jump to Fall17-TREHAN > Activities and Due Dates > HW 8-Confidence Intervals ent Score: 285/1700 Resources Hint Check Ans estion 7 of 17 Crunchlt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc IQ scores in the general population are normally distributed with a mean of 100.0 points and a standard deviation of 15.0 points. The psychologist was willing to assume that the distribution of IQ scores for all children with this particular type of learning disorder is approximately normal with a standard deviation equal to the standard deviation in the general population, 15.0 points Use the empirical rule, also known as the 68-95-99.7 percent rule, to estimate the margin of error, m, of a 95% confidence interval for the average IQ score for all çhildren with this learning disorder. Enter your answer with two decimal places of precision. IQ points m=

Explanation / Answer

In statistics, the 68–95–99.7 rule is a shorthand used to remember the percentage of values that lie within a band around the mean in a normal distribution with a width of two, four and six standard deviations, respectively; more accurately, 68.27%, 95.45% and 99.73% of the values lie within one, two and three standard deviations of the mean, respectively.

Hence margin of error for 95% CI using 68–95–99.7 rule is 2.