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 n1=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.

Question

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 n1=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.

izboknil3 · Accepted Answer

a) False   Reason:  Both the sample size should be greater than 30.  b) True  Reason:  As per the Central Limit theorem as we increase the degree of freedom, the distribution approached normality.  c) False  Reason:  Pooled standard deviation is used when the standard deviation for both populations are equal.

True // False: comparing means. Determine if the following statements are true or false, and explain your reasoning for statements you identify as fal

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