A research was conducted at University Y to test the IQ score of the studentbased on their brain dominance. The researcher selected a random sample of 10students with left-brain and a sample of 10 students with right-brain to test the IQ score. Without assuming the population is normally distributed, at a 5% significance level is there evidence that the left-brain dominance student scores more than right-brain dominance in the IQ test. The number of scores in the IQ test has been recorded as below

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A research was conducted at University Y to test the IQ score of the studentbased on their brain dominance. The researcher selected a random sample of 10students with left-brain and a sample of 10 students with right-brain to test the IQ score. Without assuming the population is normally distributed, at a 5% significance level is there evidence that the left-brain dominance student scores more than right-brain dominance in the IQ test. The number of scores in the IQ test has been recorded as below:

Left-brain Dominance
Right-brain Dominance
100
89
150
79
120
90
140
110
134
120
110
120
160
169
169
100
98
99
122
130
Transcribed Image Text:Left-brain Dominance Right-brain Dominance 100 89 150 79 120 90 140 110 134 120 110 120 160 169 169 100 98 99 122 130
Expert Solution
Step 1

Let X denotes the Left-brain Dominance

& Y denotes the Right-brain Dominance

To test whether the left-brain dominance student scores more than right-brain dominance in the IQ test. the hypothesis of interest is 

H0: μx=μyH1: μx>μy

Computation of test statistic and p-value:

  • Select STAT>TESTS>2-Samp T-Test.
  • Enter the appropriate values under "EDIT" option.
  • Select Calculate and press Enter.
  • Select µ1: >µ2 as alternative.
  • Under “Pooled”, select “Yes”.
  • Then press “Calculate”.

Output obtained using T1-84:

Statistics homework question answer, step 1, image 1Statistics homework question answer, step 1, image 2

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