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. 3 9. 8 4 6. 4 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 clainm: a. Determine the null and alternative hypotheses. Ho: H?V Ha: H? V b. Determine the test statistic. Round to two decimal places. t = C. Find the p-value. Round to four decimal places. d. Make a decision. O Reject the null hypothesis O Fail to reject the null hypothesis e. Write the conclusion. O There is sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions. O There is not 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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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
6.
3
8
3
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:
a. Determine the null and alternative hypotheses.
Ho: H? V Hw
b. Determine the test statistic. Round to two decimal places.
t =
c. Find the p-value. Round to four decimal places.
d. Make a decision.
O Reject the null hypothesis
OFail to reject the null hypothesis
e. Write the conclusion.
O There is sufficient evidence to support the claim that there is a difference in the annual goals
for the eastern and western divisions,
OThere is not sufficient evidence to support the claim that there is a difference in the annual
goals for the eastern and western divisions.
Transcribed Image Text: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 6. 3 8 3 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: a. Determine the null and alternative hypotheses. Ho: H? V Hw b. Determine the test statistic. Round to two decimal places. t = c. Find the p-value. Round to four decimal places. d. Make a decision. O Reject the null hypothesis OFail to reject the null hypothesis e. Write the conclusion. O There is sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions, OThere is not 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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