Interpret the 95% confidence interval in plain English.
Below is text from a report of a consumer research study that used an independent samples t test. This research compared taste preferences for two different types of cookies: Brownie Batter and Chocolate. Consumers were randomly assigned to eat one of the two types of cookies, after which 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 who ate brownie batter cookie (M = 3.73, SD = 1.19) equally as much as participants who ate a chocolate cookie (M = 4.25, SD = .39), t(18) = -1.32, p = .32, d = 0.59, 95% CI [-1.36, .31].
Ans: If we could draw an unlimited number of samples from this population, 95% of those samples would contain a mean difference between -1.36 and 0.31. 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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