Focus groups of 12 people are randomly selected to discuss products of the Yummy Company. It is determined that the mean number (per group)who recognize the Yummy brand name is 9.4, and the standard deviation is 0.98. Would it be unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name?
A)No
B)Yes

Question

Quizplus · Accepted Answer

To determine if a result is unusual, we often consider results that are more than 2 standard deviations away from the mean as unusual. Here, the mean is 9.4 and the standard deviation is 0.98. Calculating 2 standard deviations below the mean gives us 9.4 - 2(0.98) = 7.44. Since 5 is significantly lower than 7.44, finding fewer than 5 people who recognize the Yummy brand name out of 12 would be considered unusual.

Focus Groups of 12 People Are Randomly Selected to Discuss