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In: Statistics and Probability

INDEPENDENT SAMPLES T-TEST #1 When people think about legendary basketball franchises, they often think about the...

INDEPENDENT SAMPLES T-TEST #1

When people think about legendary basketball franchises, they often think about the New York Knicks. (Well, kind of.) When people think about terrible basketball teams, they often think about the Sacramento Kings. Guess what? When you look at their recent history, neither team has been particularly great. Here are the number of games that each team has won during the last five seasons.

Sacramento New York

2014-2015 29 17

2015-2016 33 32

2016-2017 32 31

2017-2018 27 29

2018-2019 39 17

Based on those six seasons, is there a significant difference between the Kings and the Knicks in terms of how many games they won per season?

Here are the formulas: df =

Do an independent-samples t-test. (NOTE: You may use Excel or Google to get the standard deviations, but remember that the variance requires you to square the standard deviation.) Make sure you include the following in your answer:

A) What is the null hypothesis? What is the alternative hypothesis? (0.5 points)

B) Show all work for how you got your t-statistic. I will allow you to use Excel or Google to calculate the means and variances! Please do not make your life harder than it has to be! The numbers will get large, but you can round liberally. (3.5 points)

C) What is your critical value (and why), and explain to me why you kept or rejected the null. (1 point)

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Expert Solution

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