Objective type questions based on interval estimate

Question

Objective type questions based on interval estimate for the difference between two samples means.

1. While developing an interval estimate for the difference between two sample means with sample sizes of n₁ and n₂,

a. n₁ must be equal to n₂

b. n₁ must be larger than n₂

c. n₁ and n₂ can be of different sizes,

d. n₁ must be smaller than n₂

2. Independent modest random samples are taken to test the difference between the means of two populations whose standard deviations are not known. The sample sizes are n₁ = 25 and n₂ = 35 and the correct distribution to use is the

a. t distribution with 58 degrees of freedom

b. Poisson distribution

c. t distribution with 60 degrees of freedom

d. t distribution with 59 degrees of freedom