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 $\mu - 2 \sigma \text { or greater than } \mu + 2 \sigma \text {. }$
A) Yes
B) No

Question

Quizplus · Accepted Answer

The mean $\mu$ is 68% of 800, which is 544. The standard deviation $\sigma$ is $\sqrt{800 \times 0.68 \times 0.32} \approx 13.2$. The range for non-significant results is 544 ± 2(13.2), which is approximately 517.6 to 570.4. Since 634 is greater than 570.4, it is significant.

A Survey for Brand Recognition Is Done and It Is μ−2σ or greater than μ+2σ. \mu - 2 \sigma \text { or greater than } \mu + 2 \sigma \text {. }μ−2σ or greater than μ+2σ.

A Survey for Brand Recognition Is Done and It Is $\mu - 2 \sigma \text { or greater than } \mu + 2 \sigma \text {. }$