Light bulbs are measured in lumens (light output), watts (energy used), and hours (life).A standard white light bulb has a mean life of 675 hours and a standard deviation of 50 hours.A soft white light bulb has a mean life of 700 hours and a standard deviation of 35 hours.At a local science competition, both light bulbs lasted 750 hours.Which light bulb's life span was better?
A)The soft white light bulb because it is 7% beyond the mean.
B)The standard white light bulb because it is 75 hours beyond the mean.
C)The standard white light bulb because it is 11% beyond the mean.
D)The standard light bulb because it lasted 1.5 standard deviations above the mean life.
E)The soft white light bulb because it is 50 hours beyond the mean.

Question

Quizplus · Accepted Answer

The standard white light bulb's performance is better relative to its mean and standard deviation. It lasted 750 hours, which is 75 hours beyond its mean of 675 hours. Given its standard deviation of 50 hours, this is 1.5 standard deviations above the mean (75/50 = 1.5). This is a more significant deviation from the mean compared to the soft white light bulb, which lasted 50 hours beyond its mean of 700 hours, or approximately 1.43 standard deviations above the mean (50/35 ≈ 1.43).

Light Bulbs Are Measured in Lumens (Light Output), Watts (Energy