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In: Statistics and Probability

Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...

Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean of d¯=4.6 and a sample standard deviation of sd = 7.6. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. (Round your answers to 2 decimal places.)

Test the null hypothesis H0: µd = 0 versus the alternative hypothesis Ha: µd ≠ 0 by setting α equal to .10, .05, .01, and .001. How much evidence is there that µd differs from 0?

t=

Reject H0 at a equal to

The p-value for testing H0: µd < 3 versus Ha: µd > 3 equals 0.0735. Use the p-value to test these hypotheses with α equal to .10, .05, .01, and .001. How much evidence is there that µd exceeds 3? What does this say about the size of the difference between µ1 and µ2? (Round your p-value answer to 4 decimal places.)

p=

Reject H0 at a equal to

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