Given the following information, N = 36, = 60, s =12 H₀: μ 63 H_a: μ

Question

Given the following information, N = 36, = 60, s =12 H₀: μ > 63 H_a: μ < 63 The test statistic is A) .67. B) -67. C) 1.5. D) -1.5.

Quizplus · Accepted Answer

Since the null hypothesis is μ = 63, we can use the formula for the z-score: z = (x̄ - μ) / (s / √N) For H₀, x̄ = 60 and we are testing if μ > 63. Therefore, z = (60 - 63) / (12 / √36) = -1.5 For H_a, x̄ = 60 and we are testing if μ < 63. Therefore, z = (60 - 63) / (12 / √36) = -1.5 Since we are testing whether the population mean is less than or greater than the null value of 63, we will use a two-tailed test. The critical value for a two-tailed test with α = 0.05 is ±1.96. Since our calculated z-score of -1.5 falls within the rejection region of z < -1.96, we can reject the null hypothesis at the 0.05 level of significance. Therefore, the test statistic is -1.5.

Given the Following Information, ​

Given the Following Information,