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Determine if the following statements are true or false. a) As the number of deg

ID: 3217374 • Letter: D

Question

Determine if the following statements are true or false.

a) As the number of degrees of freedom increases, the t-distribution approaches normality (i.e., approaches the normal distribution).

b) We use a pooled standard error for calculating the standard error of a difference of two means when the sample sizes of both groups are equal to each other.

c) When comparing means of two samples where n1 = 20 and n2 = 40, we can use the normal distribution model for the difference in means because n2 30.

a) As the number of degrees of freedom increases, the t-distribution approaches normality (i.e., approaches the normal distribution).

b) We use a pooled standard error for calculating the standard error of a difference of two means when the sample sizes of both groups are equal to each other.

c) When comparing means of two samples where n1 = 20 and n2 = 40, we can use the normal distribution model for the difference in means because n2 30.

Explanation / Answer

a) true

b) False

We use pooled when variance of two populations are same.

c)False

We an use the normal distribution model if the population sigma is known.