Focus groups of 10 people are randomly selected to discuss products of the Famous Company. It is determined that the mean number (per group)who recognize the Famous brand name is 4.8, and the standard deviation is 0.73. Would it be unusual to randomly select 10 people and find that greater than 8 recognize the Famous brand name?
A)No
B)Yes

Question

Quizplus · Accepted Answer

To determine if it would be unusual to find that more than 8 out of 10 people recognize the Famous brand name, we can use the concept of standard deviation. Given that the mean is 4.8 and the standard deviation is 0.73, a score of more than 8 is significantly higher than the mean. Typically, values more than 2 standard deviations away from the mean are considered unusual. In this case, 8 is much more than 2 standard deviations (2 * 0.73 = 1.46, 4.8 + 1.46 * 2 = 7.72) above the mean, making it unusual.

Focus Groups of 10 People Are Randomly Selected to Discuss