Independent simple random samples are taken to test the difference between the means of two populations whose variances are not known. The sample sizes are n₁ = 32 and n₂ = 40. The correct distribution to use is the A)binomial distribution B)t distribution with 72 degrees of freedom C)t distribution with 71 degrees of freedom D)t distribution with 70 degrees of freedom

Question

Quizplus · Accepted Answer

When comparing means from two independent samples with unknown variances, the t distribution is used. The degrees of freedom are calculated using a specific formula for unequal sample sizes, which often results in a value less than the sum of the sample sizes minus 2. Here, the degrees of freedom are approximately 70.

Independent Simple Random Samples Are Taken to Test the Difference