A researcher was interested in comparing reading speeds (in words per minute) be

Question

A researcher was interested in comparing reading speeds (in words per minute) between first graders that prefer kittens versus first graders that prefer unicorns. Because this is a new area of research, we do not have a value for either population standard deviation. 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) 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)

Explanation / Answer

5]

Here we do not know the population standard deviation. And researcher want to test comparison between first reader who use kittens and first reader who use unicorns.

In such cases we test sample means of both reader are differ significantly or not.

we have two choices one is used two sampe Z test and other is used two sample t- test. Whenever we know the population standard deviation we choose two sample Z test otherwised we used two sample t-test.

So here correct answer is e]

option a] is incorrect because this test we used for goodness of fitting for two sample data

option b] is incorrect because this test we used for goodness of fitting for one sample data

option c] is incorrect because this test we used for two sample proportion test.

option d] is incorrect because this test we used for two sample z- test when population standard deviation is known.

and

6]

correct answer is option d]

option a] is incorrect because this test we used for goodness of fitting for two sample data

option b] is incorrect because this test we used for goodness of fitting for one sample data

option c] is incorrect because this test we used for two sample proportion test.

option e] is incorrect because this test we used for two sample t- test when population standard deviation is not known.

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