High School

A random sample of 24 adult male wolves from the Canadian Northwest Territories gave an average weight x1 = 97.8 pounds with estimated sample standard deviation s1 = 7.5 pounds. Another sample of 21 adult male wolves from Alaska gave an average weight x2 = 89.2 pounds with estimated sample standard deviation s2 = 7.1 pounds.

Categorize the problem below according to parameter being estimated: proportion p, mean , difference of means 1 − 2, or difference of proportions p1 − p2?

Answer :

In this problem, we are asked to categorize the parameter being estimated from given data about the weights of adult male wolves from two different regions: the Canadian Northwest Territories and Alaska.

  1. Understanding the Data:

    A random sample of 24 wolves from the Canadian Northwest Territories had an average weight of [tex]x_1 = 97.8[/tex] pounds with a standard deviation of [tex]s_1 = 7.5[/tex] pounds.

    Another sample of 21 wolves from Alaska had an average weight of [tex]x_2 = 89.2[/tex] pounds and a standard deviation of [tex]s_2 = 7.1[/tex] pounds.

  2. Parameter Categories:

    The parameter categories can be described as:

    • Proportion [tex]p[/tex]
    • Mean [tex]\mu[/tex]
    • Difference of means [tex]\mu_1 - \mu_2[/tex]
    • Difference of proportions [tex]p_1 - p_2[/tex]

  3. Identifying the Parameter:

    In this problem, we are comparing the average weights (means) of two groups of wolves from different regions. Therefore, we are interested in estimating the difference between the means of these two groups.

  4. Conclusion:

    The correct parameter being estimated is the difference of means, [tex]\mu_1 - \mu_2[/tex].

This problem falls under the subject of Mathematics and is suitable for the College level, as it involves statistical concepts typically taught at this level.

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