Ivy is trying to manage the money she spends on lunch. between eating out and buying groceries for bagged lunches, she wants to keep her weekly budget to less than $50. she decides that she wants to spend at least twice as much on bagged lunches as at restaurants. what are the monetary choices for ivy’s lunches? let x = amount spent at restaurants, in dollars let y = amount spent on groceries, in dollars

Two researchers are attempting to create a new psychotherapy protocol that more reduces panic attacks. they believe that they have succeeded and are now in the clinical trial period of their protocol's development. they are working with several cohort groups, some of which have been through the new protocol, while others have done the standard protocol currently recommended. if these researchers are interested in evaluating the difference in the percentage of test subjects who successfully decreased their panic attacks in 2 months on the new protocol versus the percentage of test subjects who successfully decreased their panic attacks in 2 months with the traditional protocol, which of the following statistical tests would be most appropriate? a. analysis of variance (anova) b. correlation c. chi-square test d. paired t-test e. independent t-test