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The final scores of games of a certain sport were compared against the final point spreads...

The final scores of games of a certain sport were compared against the final point spreads established by odds makers. The difference between the game outcome and point spread​ (called a​ point-spread error) was calculated for 240 games. The mean error is x=−0.8. The population standard deviation of the​ point-spread error σ​= 11.2. Use this information to test the hypothesis that the true mean​ point-spread error for all games differs from 0. Conduct the test at α=0.01 and interpret the result.

-Determine the null and alternative hypotheses.

-The test statistic z

-The ​p-value=

-What is the appropriate conclusion at α=0.01​?

A. Do not reject H0. There is insufficient evidence to conclude that the true mean​ point-spread error for all games differs from 0.

B. Do not reject H0. There is sufficient evidence to conclude that the sample mean​ point-spread error for all games differs from 0.

C. Reject H0. There is sufficient evidence to conclude that the true mean​ point-spread error for all games differs from 0.

D. Reject H0. There is insufficient evidence to conclude that the sample mean​ point-spread error for all games differs from 0.

Can you give me solutions also?

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