Question

Weights of Pronghorn The Missouri Game and Fish, randomly tagged Pronghorn of Missouri, and took the...

  1. Weights of Pronghorn The Missouri Game and Fish, randomly tagged Pronghorn of Missouri, and took the weights of the tagged Pronghorns in pounds:

159      197      203      206      241      278      285      308      215      215      160      190      198      166

  1. Multiple Choice: What information do you need in order to construct a 95% confidence interval with the above prompt information?
    1. x, s, α
    2. x, s, σ,
    3. x, s,n, α
    4. x, n, σ

b) Based on the 95% confidence interval (188.9,242.7), can we safely conclude the population mean weight is greater than 196.2? Why?

c) Now, suppose σ is known to be 29 pounds, construct the 95% CI.

d) With σ known, now does it seem possible that the population mean weight is greater than 196.2? Use the results from part C and explain why

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