which alternative hypothesis is appropriate for this test. Ο HA: μι # μ2,t*= -2.021 Ο HA: μι < μ2,t*= -1.684 ΗΑ: Ο HA: μι < μ2,t*= -1.96 Ο HA: μι = μ2,t*= -1.645

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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 in Table 10.36. Determine the appropriate test and best distribution to use for that test.

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

I will go ahead and tell you this should be a two independent means, Student's t-distribution hypothesis test.
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 in Table 10.36. Determine the appropriate test and best distribution to use for that test. | | Left-handed | Right-handed | |--------------------|-------------|--------------| | Sample size | 41 | 41 | | Sample mean | 97.5 | 98.1 | | Sample standard deviation | 17.5 | 19.2 | I will go ahead and tell you this should be a two independent means, Student's t-distribution hypothesis test.
which alternative hypothesis is appropriate for this test.

- \( H_A : \mu_1 \neq \mu_2, t^* = -2.021 \)

- \( H_A : \mu_1 < \mu_2, t^* = -1.684 \)

- \( H_A : \mu_1 < \mu_2, t^* = -1.96 \)

- \( H_A : \mu_1 = \mu_2, t^* = -1.645 \)
Transcribed Image Text:which alternative hypothesis is appropriate for this test. - \( H_A : \mu_1 \neq \mu_2, t^* = -2.021 \) - \( H_A : \mu_1 < \mu_2, t^* = -1.684 \) - \( H_A : \mu_1 < \mu_2, t^* = -1.96 \) - \( H_A : \mu_1 = \mu_2, t^* = -1.645 \)
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The sample size for left-handed is 41 and the sample size for right-handed is 41.

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