Suppose we observe two independent random samples X1,..., X, with each X ~~N(1,0²) and Y₁,..., Y₁₂ with each Y ~ N(μ2,σ²). We will assumethat μ1, 2 and σ² are unknown.We are given = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with n₁ = 13 and n₂ = 19.We would like to test the hypothesis Ho₁ =μ2 versus H₁₁ 12.What test statistic should you use? You may assume the samples come from populations with equal variances.Oa. Z=b. T=○ c. T=X-Y0²√1/+1/mX-YSov/1/n₁+1/3~N(0, 1), where 26.04.~t+-2, where S is the pooled estimate of variance.Sal√2t12, where d is the mean and S is the sample variance of paired differences d₂ = x¡ — yi, i = 1,..., 13.Clear my choiceWhat is the observed value of the test statistic for the appropriate hypothesis test of Hoμ₁ = μ₂ versus H₁ μ₁ µ₂?:What is the p-value of the observed test statistic you have just computed, for the appropriate hypothesis test?

1. What test statistic should you use?The correct answer is b.…

Answered: Suppose we observe two independent…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Suppose we observe two independent random samples X1,...,X, with each X ~ N(1,02) and Y₁,..., Y, with each Y ~N(2,σ²). We will assume that μ1, μ₂ and σ² are unknown. We are given = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with n₁ = 13 and n₂ = 19. We would like to test the hypothesis Ho₁ = 2 versus H₁ = 11 12. What test statistic should you use? You may assume the samples come from populations with equal variances. Oa. Z= b. T= X-Y 0²√1/n₁+1/na X-Y Sov/1/n₁+1/12 ~ N(0, 1), where² = 6.04. ~t+-2, where S2 is the pooled estimate of variance. ○ c. T= d Sal√12 ~12, where d is the mean and S is the sample variance of paired differences d₁ = x - yi, i = 1,..., 13. Clear my choice Suppose we want to formally test the assumption that the variances of the two populations the samples come from are equal. What is the test statistic we should use? a. W = b. F= ○ c. W = (n-1)S ~ 5.5 ~PM-1 (n-1)S -1 ~ 6.4 We will now compute a 95% confidence interval for the ratio of 1. Here, we are no longer assuming…
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