Determine which statistic you would use.  1. A psychologist studied if cognitive intelligence was associated with emotional intelligence in 50 people. Cognitive intelligence was measured by averaging each person’s scores on tests of vocabulary and visual problem solving. Emotional intelligence was measured by the participant’s score for accurately describing the moment-by-moment emotional reactions of three people in a filmed interaction 2. A psychologist is interested in whether exercise increases the intensity of REM sleep in adults in three age groups (younger, middle age, older) She obtains 40 people in each age group and randomly assigns half of them to daily exercise or not in a 2 (exercise vs. not) X 3 (age group) design • REM sleep is measured by rating the vividness of dreams recorded in daily dream diaries collected for one week – Bland dreams = 1; very vivid dreams = 5 3. A psychologist believes physical experiences influence perception, such that a hill will appear steeper if the person feels weighed down. To test this, 60 people are asked to draw an angled line to indicate the steepness of a hill in front of them. They do so under three conditions: wearing a 40-pound backpack, a 20-pound backpack, and with no backpack. People complete the conditions one week apart, with the three conditions assigned in a random order for each person. Their location relative to the hill is always the same. The average steepness of the drawn angles are compared across the three conditions.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Determine which statistic you would use. 

1. A psychologist studied if cognitive intelligence was associated with emotional intelligence in
50 people. Cognitive intelligence was measured by averaging each person’s scores on tests of
vocabulary and visual problem solving. Emotional intelligence was measured by the
participant’s score for accurately describing the moment-by-moment emotional reactions
of three people in a filmed interaction

2. A psychologist is interested in whether exercise increases the intensity of REM sleep in adults in three age groups (younger, middle age, older) She obtains 40 people in each age group and randomly assigns half of them to daily exercise or not in a 2 (exercise vs. not) X 3 (age group) design • REM sleep is measured by rating the vividness of dreams recorded in daily dream diaries collected for one week
– Bland dreams = 1; very vivid dreams = 5

3. A psychologist believes physical experiences influence perception, such that a hill will appear steeper if the
person feels weighed down. To test this, 60 people are asked to draw an angled line to indicate the steepness of a hill in front of them. They do so under three conditions: wearing a 40-pound backpack, a 20-pound backpack, and with no backpack. People complete the conditions one week apart, with the three conditions assigned in a random order for each person. Their location relative to the hill is always the same. The average steepness of the drawn angles are compared across the three conditions.

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