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A 1996 study identified 102 out of 852 men as left-handed vs 76 out of 839...

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A 1996 study identified 102 out of 852 men as left-handed vs 76out of 839 women as left handed. The same study also looked at thedifference in intelligence between right- and left-handed people.In particular, the average IQ of all right-handed persons in thesample (men and women) was x1 = 97.7, with a standard deviation ofs1 = 15.4, whereas the average IQ of all left-handed persons in thesample (men and women) was x2 = 100.3, with a standard deviation ofs1 = 17.6. (a) Set up a two-sided hypothesis test on a differenceof means and determine the p-value for this sample data. (b) Can itbe concluded that left-handed individuals are smarter thanright-handed individuals given a significance level of α = 0.05?(c) What is the smallest significance level α (rounded to thenearest hundredth) for which we may conclude that lefties aresmarter than righties?

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4.3 Ratings (922 Votes)
Total number of people 852 839 1691Number of left handed people 102 76 178Number of right handed people 1691 178    See Answer
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