Between 2000 and 2010, Major League Baseball teams have an average of 1.07 home runs per game. Some statisticians have suggested that there is a different average number of home runs per game hit today than in year's past. To test this claim, we collected a random sample of 91 baseball games in 2017 and found that 142 home runs were hit with a sample standard deviation of 1.89. (a) Perform a six-step hypothesis test to see if the average number of home runs in 2017 differs from 1.07. Use a = 0.05. (b) Use the same Ho and H₂ that you use in part (a). Does the conclusion change when you shift the level of confidence to a = 0.01?

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Between 2000 and 2010, Major League Baseball teams have an average of 1.07 home runs per game.
Some statisticians have suggested that there is a different average number of home runs per game
hit today than in year's past. To test this claim, we collected a random sample of 91 baseball games
in 2017 and found that 142 home runs were hit with a sample standard deviation of 1.89.
(a) Perform a six-step hypothesis test to see if the average number of home runs in 2017 differs
from 1.07. Use a = 0.05.
(b) Use the same Ho and H₂ that you use in part (a). Does the conclusion change when you shift
the level of confidence to a = = 0.01?
Transcribed Image Text:Between 2000 and 2010, Major League Baseball teams have an average of 1.07 home runs per game. Some statisticians have suggested that there is a different average number of home runs per game hit today than in year's past. To test this claim, we collected a random sample of 91 baseball games in 2017 and found that 142 home runs were hit with a sample standard deviation of 1.89. (a) Perform a six-step hypothesis test to see if the average number of home runs in 2017 differs from 1.07. Use a = 0.05. (b) Use the same Ho and H₂ that you use in part (a). Does the conclusion change when you shift the level of confidence to a = = 0.01?
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