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= __________

#
1
2
3
4
5

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 =________________

6

Effect Size

Calculate the effect size for the previous comparison.Cohen’s d = __________

Confidence Interval

Calculate the confidence interval

CI 90% = [ ________ , _________ ]