Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance α, and sample sizes \( n_1 \) and \( n_2 \). Assume that the samples are independent, normal, and random. Answer parts (a) and (b). \( H_a: \mu_1 \neq \mu_2, \alpha = 0.01, n_1 = 12, n_2 = 10 \) (a) Find the critical value(s) assuming that the population variances are equal. ______ (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) (b) Find the critical value(s) assuming that the population variances are not equal. ______ (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) [Button: Next]

MATLAB: An Introduction with Applications
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Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance α, and sample sizes \( n_1 \) and \( n_2 \). Assume that the samples are independent, normal, and random. Answer parts (a) and (b).

\( H_a: \mu_1 \neq \mu_2, \alpha = 0.01, n_1 = 12, n_2 = 10 \)

(a) Find the critical value(s) assuming that the population variances are equal.

______
(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)

(b) Find the critical value(s) assuming that the population variances are not equal.

______
(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)

[Button: Next]
Transcribed Image Text:Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance α, and sample sizes \( n_1 \) and \( n_2 \). Assume that the samples are independent, normal, and random. Answer parts (a) and (b). \( H_a: \mu_1 \neq \mu_2, \alpha = 0.01, n_1 = 12, n_2 = 10 \) (a) Find the critical value(s) assuming that the population variances are equal. ______ (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) (b) Find the critical value(s) assuming that the population variances are not equal. ______ (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) [Button: Next]
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