Posted: February 1st, 2021

# A random sample of n1 = 10 regions in new england gave the

A random sample of n1 = 10 regions in New England gave   the following violent crime rates (per million population).   x1:     New England Crime Rate         3 3.3 4.4 3.6 3.3 4.1 1.8 4.8 2.9   Another   random sample of n2 = 12 regions in the Rocky Mountain states gave   the following violent crime rates (per million population).   x2:     Rocky Mountain Crime Rate        3.6 4.4 4.5 5.2 3.3 4.8 3.5 2.4 3.1   Assume that   the crime rate distribution is approximately normal in both   regions. Note: If a two-sample t-test is appropriate, for degrees   of freedom d.f. not in the Student’s t table, use the   closest d.f. that is smaller. In some situations, this choice   of d.f. may increase the P-value by a small amount and therefore   produce a slightly more “conservative” answer.              a. Use a   calculator to calculate                b. What is the   value of the sample test statistic? (Test the   difference μ1 − μ2. Round your answer to three decimal   places.)             c.  Find the P-value.   (Round your answer to four decimal places.)      d. Find a 98% confidence interval   for μ1 − μ2. (Round your answers to two decimal places.)

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