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You are out for the evening, and you overhear someone say that the 1985 Kansas City Royals were better than the 2015 Kansas City Royals. Can this be tested using two-sample hypothesis testing? Explain why or why not. Assume that it could be done: how would you do it?

Student 1

Explanation:

We can conduct a hypothesis test for the performance of the Kansas City Royals. All we need to do is collect the data about both teams and run the hypothesis test. We can conduct the test using the mean score of each player. A hypothesis test which follows the difference of the mean scores of players can clearly show any significant differences between the mean scores.

Suppose the null hypothesis for this test is that the difference of the mean is zero, while the alternate hypothesis would be that it is not zero. If the test statistic of the difference of the mean score lies in the rejection region, then we can say that we have to reject the null hypothesis, and that there is a difference between the mean score of each player between the two years, 1985 and 2015.

A two-sample hypothesis testing is conducted by collecting two samples from different populations and then conducting the hypothetical test based on population estimates from the two sample data sets. It is very useful for analyzing the performance or accuracy of the population estimates (Lind pg.306)

Explanation:

We can conduct a hypothesis test for the performance of the Kansas City Royals. All we need to do is collect the data about both teams and run the hypothesis test. We can conduct the test using the mean score of each player. A hypothesis test which follows the difference of the mean scores of players can clearly show any significant differences between the mean scores.

Suppose the null hypothesis for this test is that the difference of the mean is zero, while the alternate hypothesis would be that it is not zero. If the test statistic of the difference of the mean score lies in the rejection region, then we can say that we have to reject the null hypothesis, and that there is a difference between the mean score of each player between the two years, 1985 and 2015.

Vicente

Reference:

Lind, D. A., Marchal, W. G., Wathen, S. A. (2019). Basic Statistics for Business & Economics (9th ed., pg.306). New York, NY. McGraw-Hill Educationhttps://mbsdirect.vitalsource.com/#/books/97801345… 

Student 2

Hello Class,

You are out for the evening, and you overhear someone say that the 1985 Kansas City Royals were better than the 2015 Kansas City Royals. Can this be tested using two-sample hypothesis testing? Explain why or why not.

Two-sampling hypothesis can be used to compare if the 1985 Kansas City Royals are better than the 2015 Kansas City Royals. Considering the two populations have similar conditions, they should be great candidate for comparison since they use the same statistics. To begin the comparison we would need to choose a couple samples of performance, statistics, over a similar number of games during the season. Then I would state the hypothesis followed by calculating the t statistic and the p value. This would allow us to determine if we accept or reject the hypothesis (Lind, 2019, pgs. 310 – 311).

V/R

Daniel

Reference:

Lind, D., Marchal, W., & Wathen, S. (2019). Basic Statistics for Business and Economics (9th ed.). McGraw-Hil (Pages 307 – 311). Retrieved June 28, 2021, from https://player-ui.mheducation.com/#/epub/sn_0d33#epubcfi(%2F6%2F6%5Bdata-uuid-1214c94a9504baabf571613deb69c6a0%5D!%2F4%2F1:0)Links to an external site.

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