Question

The average height of 12 randomly selected Muppet basketball players is 50 inches with a standard...

The average height of 12 randomly selected Muppet basketball players is 50 inches with a standard deviation of 4 inches. The average height of 15 randomly selected Muppet football players is 47 inches with a standard deviation of 3 inches. Assuming the heights of both populations are normally distributed, are Muppet basketball players taller than football players?

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Homework Answers

Answer #1

H0: Null Hypothesis:

HA: Alternative Hypothesis:

Test statistic is given by:

t = (50 - 47)/1.4756 = 2.2284

Take = 0.05

ndf =n1 + n2 - 2 = 12 + 15 - 2 = 25

One Tail - Right Side Test

From Table, critical value of t = 1.7081

Since the calculated value of t = 2.2284 is greater than critical value of t = 1.7081, the difference is significant. Reject null hypothesis.

Conclusion:

The data support the clam that Muppet basketball players are taller than football players.

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