A researcher was interested in comparing heights between first graders that pref

Question

A researcher was interested in comparing heights between first graders that prefer puppies to first graders that prefer kittens. The researcher is willing to assume that the population standard deviation for each of these populations is known. Which test statistic would be most appropriate to use in this hypothesis test? a) chi_tau^2 = sigma_i sigma_j (f_ij - e_ij)^2/e_ij: chi_tau^2 greaterthanorequalto chi_alpha, (rows - 1)(col - 1) b) chi_tau^2 = sigma_i=1^k (f_i - e_i)^2/e_i: chi_tau^2 greaterthanorequalto chi_alpha, (rows - 1) c) z = (p_1 - p_2) - (p_1 - p_2)/Squareroot p(1 - p)(1/n_1 + 1/n_2) d) z = (x_1 - x_2) - (mu_1 - mu_2)/Squareroot (sigma_1^2/n_1 + sigma_2^2/n_2) e) t = (x_1 - x_2) - (mu_1 - mu_2)/Squareroot (s_1^2/n_1 + s_2^2/n^2) Would it be appropriate to use the equation t = d - D_0/d_s/Squareroot n to test the difference in #6 above? a) Yes because this is matched (paired) data. b) Yes because this is not matched data. c) No because this is matched (paired) data. d) No because this is not matched data. e) None of the above.

Explanation / Answer

Question #6

The correct answer is (d)

Explanation:

There are two populations

1) First graders that prefer puppies

2) First graders that prefer Kittens

And we want to compare the height of first graders that prefer puppies and height of first graders that prefer Kittens

Also it is given that the population standard deviation is known for these two populations.

When population standard deviation are known then we used z test

When population standard deviations are unknown then we used t test.

so we need to used z test for comparing two population means

So correct option is (d)

Question #7

Since the two population are not depend on each other so we can not used pair test.

So correct option is (d) No because this is not matched pair.

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