TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and a standard deviation of 5 cm, what should be the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 15 cm on each end of the bassinet?
A)95.45 cm
B)85.22 cm
C)91.63 cm
D)98.92 cm

Question

Quizplus · Accepted Answer

To ensure that 99% of newborn babies will fit, we need to find the length that corresponds to the 99.5th percentile. Using a z-table, we find that the z-score corresponding to the 99.5th percentile is 2.58 (rounded to two decimal places). 
We also need to add a safety margin of 15 cm to each end of the bassinet. 
So, the interior length of the bassinet should be:
50 cm + 2.58(5 cm) + 15 cm + 15 cm = 91.63 cm
Therefore, the best choice is C.

TotCo Is Developing a New Deluxe Baby Bassinet