Interpret the 95% confidence interval in plain English.
Below is text from a report of a consumer research study that used a paired samples t test. This research compared taste preferences for two different types of cookies: Brownie Batter and Chocolate. Consumers ate both types of cookies. After eating each one, they rated it on a 1 (did not like it at all) to 5 (liked it a lot) range. Use this report to answer the question that follow it.
An independent samples t test suggested that participants liked the brownie batter cookie (M = 5.08, SD = 1.21) more than the chocolate cookie (M = 3.88, SD = 1.83, t(23) = 2.96, p = .007, d = 0.60, 95% CI [0.36, 2.05].
Ans: If we could draw an unlimited number of samples from this population, 95% of those samples would contain a mean difference between 0.36 and 2.05. Because it contains zero, we cannot be confident that there is a mean difference on this dependent variable in the population.
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