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_alpha, (row - 1)(col - 1) b) chi_tau^2 = sigma_i = ^k (f_i - e_j)^2/e_i: chi_tau^2 greaterthanorequalto chi_alpha, (rows - 1) c) (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/s_d/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.

Explanation / Answer

6 ) option c is correct as standard deviation and proportion is assumeed

7 ) option d

it doesnt match the given data

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