Lesley E. Tan investigated the relationship between left-handedness vs. right-handedness and motor competence in preschool children. Random samples of 41 left-handed preschool children and 41 right-handed preschool children were given several tests of motor skills to determine if there is evidence of a difference between the children based on this experiment. The experiment produced the means and standard deviations shown Table 10.26. Determine the appropriate test and best distribution to use for that test.

a. Two independent means, normal distribution

b. Two independent means, Student’s-t distribution

c. Matched or paired samples, Student’s-t distribution

d. Two population proportions, normal distribution

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Sample size Sample mean Left-handed Right-handed 41 41 97.5 98.1 19.2 Sample standard deviation 17.5 Table 10.26