A survey for brand recognition is done and it is determined that 68 % of consumers have heard of Dull Computer Company. A survey of 800 randomly selected consumers is to be conducted. For such groups of 800 , would it be significant to get 634 consumers who recognize the Dull Computer Company name? Consider as significant any result that differs from the mean by more than 2 standard deviations. That is, significant values are either less than $\mu - 2 \sigma$ or greater than $\mu + 2 \sigma$
A) Yes
B) No

Question

A survey for brand recognition is done and it is determined that  68 %  of consumers have heard of Dull Computer Company. A survey of 800 randomly selected consumers is to be conducted. For such groups of 800 , would it be significant to get 634 consumers who recognize the Dull Computer Company name? Consider as significant any result that differs from the mean by more than 2 standard deviations. That is, significant values are either less than $\mu - 2 \sigma$ or greater than $\mu + 2 \sigma$
A) Yes
B) No

Quizplus · Accepted Answer

The mean number of consumers who recognize the Dull Computer Company name is 0.68 * 800 = 544. The standard deviation is sqrt(0.68 * 0.32 * 800) = 12.8. So, the range of values that are not significant is 544 +/- 2 * 12.8 = 521.2 to 566.8. Since 634 is greater than 566.8, it is significant.

A Survey for Brand Recognition Is Done and It Is μ−2σ\mu - 2 \sigmaμ−2σ

A Survey for Brand Recognition Is Done and It Is $\mu - 2 \sigma$