Focus groups of 13 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 10.1, and the standard deviation is 0.55. Would it be unusual to randomly select 13 people and find that fewer than 7 recognize the Yummy brand name?
A) Yes
B) No

Question

Quizplus · Accepted Answer

The mean number of people who recognize the brand is 10.1 with a standard deviation of 0.55. Using the normal distribution, a value of 7 is more than 5 standard deviations below the mean (since (10.1 - 7) / 0.55 ≈ 5.64), which is considered unusual.

Focus Groups of 13 People Are Randomly Selected to Discuss