A researcher decides to analyze the effects of nutrition on personality. He collects 7 pairs of...

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A researcher decides to analyze the effects of nutrition onpersonality. He collects 7 pairs of identical twins and randomlyassigns one twin from each pair to a controlled diet condition. Thetwins assigned to the other condition are allowed to eat whateverthey please. The following are scores on a standardized personalityinventory:

Personality inventory scores for twins in controlled dietcondition:
10, 9, 4, 3, 8, 6, 7

Personality inventory scores for twins in eat-what-you-wantcondition:
16, 11, 9, 4, 5, 9, 12

NOTE: The order of the scores is important here. The first scorein the controlled diet condition (10) should be paired with thefirst score from the other condition (16), etc.

Hint: This is a two-tailed test.

  1. Null hypothesis:
  2. Alternative hypothesis:
  3. Statistical test (be specific!):
  4. Significance level: alpha = .01
  5. degrees of freedom:
  6. Critical region (t-value):
  7. Calculated t:
  8. Decision:

Answer & Explanation Solved by verified expert
4.3 Ratings (917 Votes)
This will an independent 2 samples ttest since both data setshave different individual Test will be conducted for difference inpopulation meansLet twin 1 be the controlled diet and twin 2    See Answer
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