134. 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 10.36. Determine the appropriate test and best distribution to use for that test. Left-handed Right-handed Sample size 41 Sample mean 97.5 Sample standard deviation 17.5 41 98.1 19.2 I will go ahead and tell you this should be a two independent means, Student's t- distribution hypothesis test. Alright! Let's finish this one. Compare your t-test statistic (from number 1) to your critical t* (from number 3) and make your conclusion! There is enough evidence to reject the null hypothesis: there is evidence that there is a statistically significant difference between the motor skills of left- handed children versus right-handed children. There is not enough evidence to reject the null hypothesis: there is no evidence that there is a statistically significant difference between the motor skills of left- handed children versus right-handed children.

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134. 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 10.36. Determine the appropriate
test and best distribution to use for that test.
Left-handed Right-handed
Sample size
41
Sample mean
97.5
Sample standard deviation 17.5
41
98.1
19.2
I will go ahead and tell you this should be a two independent means, Student's t-
distribution hypothesis test.
Alright! Let's finish this one. Compare your t-test statistic (from number 1) to your
critical t* (from number 3) and make your conclusion!
There is enough evidence to reject the null hypothesis: there is evidence that
there is a statistically significant difference between the motor skills of left-
handed children versus right-handed children.
There is not enough evidence to reject the null hypothesis: there is no evidence
that there is a statistically significant difference between the motor skills of left-
handed children versus right-handed children.
Transcribed Image Text:134. 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 10.36. Determine the appropriate test and best distribution to use for that test. Left-handed Right-handed Sample size 41 Sample mean 97.5 Sample standard deviation 17.5 41 98.1 19.2 I will go ahead and tell you this should be a two independent means, Student's t- distribution hypothesis test. Alright! Let's finish this one. Compare your t-test statistic (from number 1) to your critical t* (from number 3) and make your conclusion! There is enough evidence to reject the null hypothesis: there is evidence that there is a statistically significant difference between the motor skills of left- handed children versus right-handed children. There is not enough evidence to reject the null hypothesis: there is no evidence that there is a statistically significant difference between the motor skills of left- handed children versus right-handed children.
Expert Solution
Step 1: Introduction

There are two independent samples which are Left-handed and Right-handed.

We have to test whether there is a difference between the motor skills of left-handed children versus right-handed children or not.

This is Two Independent sample t-test.

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