he Eastern and Western Major League Soccer conferences have a new Reserve Division that allows new players to develop their skills. Data for a randomly picked date showed the following annual goals for six different teams in each division.

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The Eastern and Western Major League Soccer conferences have a new Reserve Division that allows new players to develop their skills. Data for a randomly picked date showed the following annual goals for six different teams in each division.

Eastern Western
9 9
3 8
4 7
3 6
4 5
4 3


Does the data show there is a difference in the annual goals for the eastern and western divisions? Test the claim at the 0.05 significance level. Note: A normal probability plot of MLS goals indicates the population could be normal and a boxplot indicated no outliers.

 

Test the claim:

  1. Determine the null and alternative hypotheses. 

    H0H0: μe    μw
    HaHa: μe    μw

  2. Determine the test statistic. Round to two decimal places.

    t=

  3. Find the pp-value. Round to four decimal places.

    p= 

  4. Make a decision.
    • Reject the null hypothesis
    • Fail to reject the null hypothesis


  5. Write the conclusion.
    • There is not sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions.
    • There is sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions.

 

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