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Explanation & Answer

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Hypothesis Tests
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Hypothesis Tests
Scenario 1:
Brian is a math teacher who is interested in comparing three of his calculus classes - a basic level
class, an honors level class and an AP level class. He gives students in all three classes the same
test and then compares their scores. Brad wants to determine if there are any significant
differences among the grades in the three classes.
Answer: the one-way repeated measures ANOVA
It is a statistical test used to determine if three or more related groups have a significant
difference amongst themselves due to a variable of interest. Here the variable of interest should be
normally distributed, continuous, and spread across the groups. E.g., In Scenario 1, we have a basic
level class, an honors-level class, and an AP level class hence having three groups. Also, the
variable of interest, which is the calculus classes, is common to all three groups, thereby making
the hypothesis test much appropriate.
Scenario 2:
It is well known that the average IQ in the general population is 100, with standard deviation
15. Jeremy’s class has an average IQ of 110 and Jeremy...
