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 4 5 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. ? ✨ flw Ho: He Ha He ? ◇ μω b. Determine the test statistic. Round to two decimal places. t c. Find the p-value. Round to four decimal places. p = d. Make a decision. Reject the null hypothesis Fail to reject the null hypothesis e. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
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
4
5
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.
? ✨ flw
Ho: He
Ha He ? ◇ μω
b. Determine the test statistic. Round to two decimal
places.
t
c. Find the p-value. Round to four decimal places.
p =
d. Make a decision.
Reject the null hypothesis
Fail to reject the null hypothesis
e. 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.
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 9 9 3 8 4 7 3 6 4 4 5 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. ? ✨ flw Ho: He Ha He ? ◇ μω b. Determine the test statistic. Round to two decimal places. t c. Find the p-value. Round to four decimal places. p = d. Make a decision. Reject the null hypothesis Fail to reject the null hypothesis e. 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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