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Inferences from Two Samples

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A) State the null and alternate hypothesis.
B) Determine the rejection region. For example "if , then reject ".
C) Determine the Test Statistic.
D) Conclude either "Reject " or "Do not reject " based on your analysis and answer the question.
E) Determine the p value of the test.

Note: Please show how everything was obtained.

A survey was done to determine if the Cholesterol level of Americans was different than that of Canadians. Sampling from both the US and Canada yielded the following results.

Sample Size Mean Cholesterol Standard Deviation
US 40 179.2 5.3
Canada 35 177.1 3.9

Is there enough evidence at the 1% significance level to say that the cholesterol levels of US citizens and Canadian citizens differ?________

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Solution Summary

A) State the null and alternate hypothesis.
B) Determine the rejection region. For example "if , then reject ".
C) Determine the Test Statistic.
D) Conclude either "Reject " or "Do not reject " based on your analysis and answer the question.
E) Determine the p value of the test.

Note: Please show how everything was obtained.

A survey was done to determine if the Cholesterol level of Americans was different than that of Canadians. Sampling from both the US and Canada yielded the following results.

Sample Size Mean Cholesterol Standard Deviation
US 40 179.2 5.3
Canada 35 177.1 3.9

Is there enough evidence at the 1% significance level to say that the cholesterol levels of US citizens and Canadian citizens differ?________

Solution Preview

See the attached file. Hope this will help. Thanks

A) State the null and alternate hypothesis.
Ho = Cholesterol level of Americans is same as that of Canadians =  1=2
Ha = Cholesterol level of Americans was different than that of Canadians  12

B) Determine the rejection region. For example "if , then reject ".
This is ...

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