d. 2.1 11. The Student t distribution approaches the normal distribution as the:

Question

d. 2.1 11. The Student t distribution approaches the normal distribution as the: a. degrees of freedom increase b. degrees of freedom decrease c. sample size decreases d. population size increases 12. Two samples of sizes 25 and 35 are independently drawn from two normal populations, where the unknown population variances are assumed to be equal. The number of degrees of freedom of the equal-variances t test statistic are: a. 60 b. 59 c. 58 d: 35 The number of degrees of freedom associated with the t test, when the data are gathered from a matched pairs experiment with 10 pairs, is: 13. a. 10 b. 20 d. 18

Explanation / Answer

11)

as df increase t-distribution tend to normal distribution

this is also same as increasing samle size

as df =n-1

hence option A) is correct

12)

df = n1 + n2 -2 = 25+35-2 = 584

option C) is correct

13) for matched pair , df= n-1 = 10-1 = 9

option C) is correct

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