You wish to determine if the height of a person affects how they are perceived by others. You ask 35 people to look at full length pictures of several people and give each person an “honesty score”. In other words how honest do you think this person is on a scale of 1-100? Within the group of pictures is one tall and one short person you selected for your experiment (the other pictures are used as distracters to mask your hypothesis and those scores are not used in the analysis). You record the “honesty scores” for both the tall and short people from each of your 35 participants. In examining the data you find that indeed taller people are seen as more honest. The average rating for tall people is 74 (variance = 7) but for short people it is only 67 (variance = 30).
a) Indicate the most appropriate statistical test for this situation. Be VERY specific!!
b) Indicate why that particular test is the most appropriate. Be
VERY specific!!
c) What are the independent and dependent variables?
Answer a)
Independent samples T-test is the most appropriate statistical test for this situation.
Answer b)
In this case, we have used Independent samples T-test instead of z-test because the population standard deviation is unknown.
In this case, we have used Independent samples t-test instead of paired samples t-test because the the two samples selected are independent. In this case, two samples are tall and short people.
Answer c)
In this case, we are trying to determine impact of height of people on honesty. So,
Independent Variable: Height of people
Dependent Variable: Honesty
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