Independent simple random samples are selected 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 _____ distribution. A) binomial B) t C) normal D) uniform

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The correct distribution to use in this scenario is the t-distribution, which is used when the variances of the two populations are not known and the sample sizes are small (less than 30). The binomial distribution is used for counting the number of successes in a fixed number of trials. The normal distribution is used when the sample size is large (greater than 30) and the variances are known or assumed to be equal. The uniform distribution is used to model random variables that have equal likelihood of taking on any value within a specified range.

Independent Simple Random Samples Are Selected to Test the Difference