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

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 ${n}_{1}=20$
and ${n}_{2}=40$,
we can use the normal model for the difference in means since ${n}_{2}\ge 30.$
(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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izboknil3
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.