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. a) The null and alternative hypothesis would be: �0:��=�� �1:��>�� �0:��=�� �1:��≠�� �0:��=�� �1:��>�� �0:��=�� �1:��<�� �0:��=�� �1:��<�� �0:��=�� �1:��≠�� b) Determine the test statistic. Round to two decimals. �= c) Find the p-value and round to 4 decimals. p =
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. a) The null and alternative hypothesis would be: �0:��=�� �1:��>�� �0:��=�� �1:��≠�� �0:��=�� �1:��>�� �0:��=�� �1:��<�� �0:��=�� �1:��<�� �0:��=�� �1:��≠�� b) Determine the test statistic. Round to two decimals. �= c) Find the p-value and round to 4 decimals. p =
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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 | 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.
a) The null and alternative hypothesis would be:
- �0:��=��
�1:��>�� - �0:��=��
�1:��≠�� - �0:��=��
�1:��>�� - �0:��=��
�1:��<�� - �0:��=��
�1:��<�� - �0:��=��
�1:��≠��
b) Determine the test statistic. Round to two decimals.
�=
c) Find the p-value and round to 4 decimals.
p =
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