To estimate the difference in mean TV viewing hours between high school and middle school students, which inference procedure is appropriate?

To estimate the difference in mean TV viewing hours between high school and middle school students, which inference procedure is appropriate?

• A. One-Proportion Z-Test
• B. Two-Sample T-Interval
• C. Paired T-Test
• D. Chi-Square Test for Independence

Answer: (B)

Comparing means from two independent groups is the scenario here. You want to estimate how much the average TV viewing hours differ between high school and middle school students, so the appropriate approach is a two-sample t-interval to form a confidence interval for the difference in population means. This method uses the t-distribution and relies on independent samples with roughly normal data (or large sample sizes). It’s the right choice for a mean difference, while the other options don’t fit: a one-proportion z-test is for proportions, a paired t-test is for related or matched data, and a chi-square test for independence is for categorical data.

Comparing means from two independent groups is the scenario here. You want to estimate how much the average TV viewing hours differ between high school and middle school students, so the appropriate approach is a two-sample t-interval to form a confidence interval for the difference in population means. This method uses the t-distribution and relies on independent samples with roughly normal data (or large sample sizes). It’s the right choice for a mean difference, while the other options don’t fit: a one-proportion z-test is for proportions, a paired t-test is for related or matched data, and a chi-square test for independence is for categorical data.