1. Mes is an international group for individuals considered to be geniuses1 The
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1. Mes is an international group for individuals considered to be geniuses1 The Mensa IQ test is used to determine if an individual is a genius and therefore allowed to have a Mensa membership. The Mensa IQ test is designed in such a way that scores on the test can be modeled with a normal model with a mean of 100 points and standard deviation of 15 points. Use the following table and your z-table in answering the questions in part 1 The table shown below provides information on what category you wl fall in for particular scores. Classification IQ Range 96 highly gifted Mensa membership gifted International High IQ Society membership 0.496 2% 296 596 140+ 130+ 130+ 124 115-129 110-115 90-109 85-89 high average average low average borderline 5096 239% 86 (a) For all Mensa IQ test takers, 68% will be between which two scores? (Use the 68-95-99.7% rule) (b) Using z-scores and the z-score table, what percentage of all Mensa IQ test takers will be classified as being average or lower? Note that when you are asked to find probabilities and percentages from the z-table, you should keep all decimal places that are given to you in the tableExplanation / Answer
1. Mes is an international group for individuals considered to be geniuses1 The Mensa IQ test is used to determine if an individual is a genius and therefore allowed to have a Mensa membership. The Mensa IQ test is designed in such a way that scores on the test can be modeled with a normal model with a mean of 100 points and standard deviation of 15 points. Use the following table and your z-table in answering the questions in part 1 The table shown below provides information on what category you wl fall in for particular scores. Classification IQ Range 96 highly gifted Mensa membership gifted International High IQ Society membership 0.496 2% 296 596 140+ 130+ 130+ 124 115-129 110-115 90-109 85-89 high average average low average borderline 5096 239% 86 (a) For all Mensa IQ test takers, 68% will be between which two scores? (Use the 68-95-99.7% rule) (b) Using z-scores and the z-score table, what percentage of all Mensa IQ test takers will be classified as being average or lower? Note that when you are asked to find probabilities and percentages from the z-table, you should keep all decimal places that are given to you in the table
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