A study of the habits of white-tailed deer that indicate that they live and feed within very limited rangesapproximately 150 to205 acres.To determine whether there was a difference between the ranges of deer located in two different geographic areas,40 deerwere caught, tagged, and fitted with small radio transmitters. Several months later, the deer were tracked and identified, and thedistancexfrom the release point was recorded. The mean and standard deviation of the distances from the release point were as follows.

Location 1 Location 2

Sample Size 40 40

Sample Mean (ft) 2,975 3,210

Sample Standard Deviation (ft) 1,135 962

If you have no preconceived reason for believing one population mean is larger than another, what would you choose for your alternative hypothesis?

H_a: (₁₂)0

H_a: (₁₂) < 0

H_a: (₁₂) > 0

H_a: (₁₂) = 0

What would you choose for your null hypothesis?

H₀: (₁₂) > 0

H₀: (₁₂) = 0

H₀: (₁₂) < 0

H₀: (₁₂)0

(b) Does your alternative hypothesis in part (a) imply a one- or a two-tailed test? Explain.

A two-tailed test, as we have no preconceived reasons for believing one population mean is larger than another.

A one-tailed test, as we have no preconceived reasons for believing one population mean is larger than another.

A one-tailed test, as we are comparing if one mean is smaller than another.

A two-tailed test, as we are comparing if one mean is larger than another.

(c) Do the data provide sufficient evidence to indicate that the mean distances differ for the two geographic locations? Test using= 0.05.

Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)

test statistic z=______

rejection region z>______

z<______

State your conclusion.

H₀is not rejected. There is sufficient evidence to indicate a difference in the two means.

H₀is rejected. There is insufficient evidence to indicate a difference in the two means.

H₀is not rejected. There is insufficient evidence to indicate a difference in the two means.

H₀is rejected. There is sufficient evidence to indicate a difference in the two means.

You may need to use the appropriateappendix tableortechnologyto answer this question.