Two boats, Italy and the USA, are competing for a spot in the upcoming America's cup race. They race over a part of the course several times. The significance level is .05. Boat 1 sample times - 12.9, 12.5, 11.0, 13.3, 11.2, 11.4, 11.6, 12.3, 14.2, 11.3 Boat 2 sample times - 14.1, 14.1, 14.2, 17.4, 15.8, 16.7, 16.1, 13.3, 13.4, 13.6, 10.8, 19.0 1. State the null and alternate hypothesis. 2. select significance level. (given) 3. identity test statistic (T or Z) and state what their values are. 4. formulate the decision rule: reject or accept null? 5. can we conclude that there is a difference in their mean times?

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Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 4SE: What is the difference between events and outcomes? Give an example of both using the sample space...
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Math - Statistics: two sample tests of hypothesis!?

Two boats, Italy and the USA, are competing for a spot in the upcoming America's cup race. They race over a part of the course several times. The significance level is .05.

Boat 1 sample times - 12.9, 12.5, 11.0, 13.3, 11.2, 11.4, 11.6, 12.3, 14.2, 11.3

Boat 2 sample times - 14.1, 14.1, 14.2, 17.4, 15.8, 16.7, 16.1, 13.3, 13.4, 13.6, 10.8, 19.0

1. State the null and alternate hypothesis.

2. select significance level. (given)

3. identity test statistic (T or Z) and state what their values are.

4. formulate the decision rule: reject or accept null?

5. can we conclude that there is a difference in their mean times?

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