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Statistics

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1. A certain population follows a normal distribution, with mean m and standard deviation s = 2.5. You collect data and test the hypotheses

H0: m = 1, Ha: m 1.

You obtain a P-value of 0.022. Which of the following is true? Why?
a. A 95% confidence interval for m will include the value 1.
b. A 95% confidence interval for m will include the value 0.
c. A 99% confidence interval for m will include the value 1.
d. A 99% confidence interval for m will include the value 0.

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