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

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.

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