Two samples each of size 20 are taken from independent populations assumed to be normally distributed with equal variances. The first sample has a mean of 43.5 and standard deviation of 4.1 while the second sample has a mean of 40.1 and standard deviation of 3.2. A researcher would like to test if there is a difference between the population means at the 0.05 significance level. What is the value of the test statistic?
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The null hypothesis is that there is no difference between the population means: μ1 - μ2 = 0. The alternative hypothesis is that there is a difference between the population means: μ1 - μ2 ≠ 0. Show more…
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Two samples each of size 20 are taken from independent populations assumed to be normally distributed with equal variances. The first sample has a mean of 43.5 and standard deviation of 4.1 while the second sample has a mean of 40.1 and standard deviation of 3.2. A researcher would like to test if there is a difference between the population means at the 0.05 significance level. What is the pooled variance?
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Two samples each of size 20 are taken from independent populations assumed to be normally distributed with equal variances. The first sample has a mean of 43.5 and standard deviation of 4.1 while the second sample has a mean of 40.1 and standard deviation of 3.2. A researcher would like to test if there is a difference between the population means at the 0.05 significance level. When testing for the difference between the means of two independent populations with equal variances and with samples of sizes n1 = 20 and n2 = 20, what is the number of degrees of freedom? Select one or more: a. 19 b. 40 c. 38 d. 20
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