**Question:** Which one of the following is not a condition for inference comparing two means?- ○ independent simple random samples from two populations- ○ populations must be distinct- ○ both populations are Normally distributed- ● the two sample sizes must be equal**Explanation:**The highlighted answer indicates that "the two sample sizes must be equal" is not a condition for inference when comparing two means. The other conditions listed are generally required when performing such statistical analyses. Two independent samples from normal distributions are being compared. The sample data are summarized in the table.| Population | Population mean | Sample size | Sample mean | Sample standard deviation | Standard error estimate ||------------|------------------|-------------|-------------|------------------------|-------------------------|| 1 | μ₁ (unknown) | n₁ = 15 | x̄₁ = 12.6 | s₁ = 2.500 | SE₁ = 0.645 || 2 | μ₂ (unknown) | n₂ = 13 | x̄₂ = 10.5 | s₂ = 2.260 | SE₂ = 0.627 |The estimated standard error of the difference of the two sample means is SE = 0.900.Compute the value of the two-sample t-statistic used to test the null hypothesis H₀: μ₁ = μ₂. Please give your answer precise to three decimal places.t = [ ]

From the given information, a) Consider, the required conditions for comparing two means are as…

Which one of the following is not a condition for inference comparing two means? independent simple random samples from two populations populations must be distinct both populations are Normally distributed the two sample sizes must be equal

Which one of the following is not a condition for inference comparing two means? independent simple random samples from two populations populations must be distinct both populations are Normally distributed the two sample sizes must be equal

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. For each part, decide whether you would use the pooled t-test, the nonpooled t-test, the Mann– Whitney test, or none of these tests if preliminary data analyses of the samples suggest that the two distributions of the variable under consideration are a. normal but do not have the same shape.b. not normal but have the same shape.c. not normal and do not have the same shape; both sample sizes are large.
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