(a) When comparing means of two samples where nı = 20 and n2 = 40, we can use the normal model for the difference in means since n2 2 30. (b) As the degrees of freedom increases, the t-distribution approaches normality. We use a pooled standard error for calculating the standard error of the difference between means when sample sizes of groups are equal to each other.

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7 32 True / False: comparing means. Determine if the following statements are true or false, and explain
your reasoning for statements you identify as false.
(a) When comparing means of two samples where ni = 20 and n2 = 40, we can use the normal model for
the difference in means since n2 > 30.
(b) As the degrees of freedom increases, the t-distribution approaches normality.
(c) We use a pooled standard error for calculating the standard error of the difference between means when
sample sizes of groups are equal to each other.
Transcribed Image Text:7 32 True / False: comparing means. Determine if the following statements are true or false, and explain your reasoning for statements you identify as false. (a) When comparing means of two samples where ni = 20 and n2 = 40, we can use the normal model for the difference in means since n2 > 30. (b) As the degrees of freedom increases, the t-distribution approaches normality. (c) We use a pooled standard error for calculating the standard error of the difference between means when sample sizes of groups are equal to each other.
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