Question

Which hypothesis test do I use for this statement? It is believed that the blue team...

Which hypothesis test do I use for this statement?

It is believed that the blue team is 3 inches taller than the red team. (for my data, in one column i have their heights and team color in another column)

For my null and alternative hypothesis, how do I find those?

I was thinking take the difference of the means since we are testing whether one team is 3 inches taller? For example, null is u1-u2= 0, alternative is u1-u2= 3? I don't know, I can not find a test that does differences of means like this though. Please help, thank you (options: 1 proportion z-test, 1 sample t-test, paired t-test, 2 sample t-test, 2 proportion z test, chi square test for goodness of fit, chi square test for homogeneity, test for regression slope, or is it something else not on this list?) Thanks again

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Hi ! You are correct in understanding that we shall use the test for difference of means and the corresponding test would be 2 sample t-test.

Two Sample t-test states the Null Hypothesis that the significant difference in the mean heights of blue and red teams at most 3 inches i.e

and the Alternative Hypothesis is that the mean height of blue team is greater than the mean height of red team by 3 inches i.e.

This become Right-Tailed t-test for 2 independent samples.

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