Paired Samples t-test
Gregg Popovich, head coach of the San Antonio Spurs, hadhis top five scorers practice during the past week with theshooting coach Chip Engelland. They shot 100 free throws prior toworking with Chip and then shot 100 free throws after working withChip. Below are the total number of free throws made before andafter working with Chip Engelland. Popovich wants to know ifpracticing with Chip increased their free throw making abilities.Use a p-value (α) of 0.05 to conduct the test.
Step 1: Populations, Distribution, andAssumptions
Population 1:
Population 2:
Distribution:
Hypothesis test to be used (Explain):
Step 2: Hypotheses
Research Hypothesis:
Symbolic Research Hypothesis:
Null Hypothesis:
Symbolic Null Hypothesis:
Before Chip | After Chip |
90 | 94 |
77 | 82 |
64 | 85 |
87 | 97 |
88 | 95 |
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Step 3: Characteristics of the Comparison Distribution(6 points)
Um (mean of means) = __________
SM= __________
Step 4: Critical Values
t critical, =____________-.
df= __________
Step 5: Calculate Test Statistic
t statistics =____________
Step 6: Make a Decision
Be sure to explain and also report your answer in APAformat.
SS =________________
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Effect Size
Calculate the effect size for the previous comparison.Cohen’s d = __________
Confidence Interval
Calculate the confidence interval
CI 90% = [ ________ , _________ ]