A producer of fine chocolates believes that the sales of two varieties of truffles differ significantly during the holiday season. The first variety is milk chocolate while the second is milk chocolate filled with mint. It is reasonable to assume that truffle sales are normally distributed with unknown but equal population variances. Two independent samples of 18 observations each are collected for the holiday period. A sample mean of 12 million milk chocolate truffles sold with a sample standard deviation of 2.5 million. A sample mean of 13.5 million truffles filled with mint sold with a sample standard deviation of 2.3 million. Use milk chocolate as population 1 and mint chocolate as population 2. Assuming the population variances are equal, which of the following is the value of the appropriate test statistic? A) z = −1.8734 B) z = 1.8734 C) t₃₄ = −1.8734 D) t₃₄ = 1.8734

Question

Quizplus · Accepted Answer

The test statistic for comparing two means with equal variances is calculated using the t-distribution. The formula involves the difference in sample means, pooled standard deviation, and sample sizes. The negative sign indicates the direction of the difference.

A Producer of Fine Chocolates Believes That the Sales of Two