The study measured choice scores (on a scale of 0 to 100, where higher scores indicate a greater preference for vice options) for consumers shopping under each of the two conditions. Recall that the average choice score for consumers with a flexed arm was 59, while the average for consumers with an extended arm was 43. For both conditions, assume that the standard deviation of the choice scores is 5. Also assume that both distributions are approximately normally distributed.
a. In the flexed arm condition, what is the probability that a consumer has a choice score of 60 or greater?
b. In the extended arm condition, what is the probability that a consumer has a choice score of 60 or greater?
For Information: Refer to the Journal of Marketing Research (Dec. 2011) study of whether you are more likely to choose a vice product (e.g., a candy bar) when your arm is flexed (as when carrying a shopping basket) than when your arm is extended (as when pushing a shopping cart), Exercise 2.85.