Sam is trying out for a local bowling team. They require Sam to score an average of 200 per game. If he averages any less than this, he will not be competitive enough and will not be allowed to join the team. In his tryout, they Sam bowls 10 games and averages a score of 197. Assume o 7. = The team sets up hypotheses to test whether Sam's true average score is 200 or if it is less. They will accept Sam to the team if they fail to reject the null hypothesis Ho = 200 at level a = 0.05. µ What is the outcome of the test? The data is significant at level 0.05 and shows that Sam's average is likely below 200, so he should not join the team. (Reject Ho.) The data is not significant at level 0.05, so the team concludes Sam's average of 197 was due simply to natural variation and not because

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Sam is trying out for a local bowling team. They
require Sam to score an average of 200 per game. If
he averages any less than this, he will not be
competitive enough and will not be allowed to join
the team. In his tryout, they Sam bowls 10 games
and averages a score of 197. Assume o
=
7.
The team sets up hypotheses to test whether Sam's
true average score is 200 or if it is less. They will
accept Sam to the team if they fail to reject the null
hypothesis Ho = 200 at level a = 0.05.
µ
What is the outcome of the test?
The data is significant at level 0.05 and shows
that Sam's average is likely below 200, so he
should not join the team. (Reject Ho.)
The data is not significant at level 0.05, so the
team concludes Sam's average of 197 was due
simply to natural variation and not because
his true average is below 200. (Fail to reject
Ho.) Sam is allowed to join the team.
The data shows that Sam's true average score
is exactly 200, so he should join the team.
(Accept Ho.)
The sample size is too small to make any
conclusions.
Transcribed Image Text:Sam is trying out for a local bowling team. They require Sam to score an average of 200 per game. If he averages any less than this, he will not be competitive enough and will not be allowed to join the team. In his tryout, they Sam bowls 10 games and averages a score of 197. Assume o = 7. The team sets up hypotheses to test whether Sam's true average score is 200 or if it is less. They will accept Sam to the team if they fail to reject the null hypothesis Ho = 200 at level a = 0.05. µ What is the outcome of the test? The data is significant at level 0.05 and shows that Sam's average is likely below 200, so he should not join the team. (Reject Ho.) The data is not significant at level 0.05, so the team concludes Sam's average of 197 was due simply to natural variation and not because his true average is below 200. (Fail to reject Ho.) Sam is allowed to join the team. The data shows that Sam's true average score is exactly 200, so he should join the team. (Accept Ho.) The sample size is too small to make any conclusions.
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