Suppose babies born after a gestation period of 32 to 35 wee

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2600 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 400 grams. If a 35-week gestation period baby weighs 2325 grams and a 41-week gestation period baby weighs 282 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period? The 35-week gestation period baby weighs standard deviation the mean The 41-week gestation period baby weighs standard deviations the mean

Solution

For a 35 week gestation period,

population mean = 2600 gms

S.D = 700 gms

Z-score = 2325 - 2600 / 700 = -11/28 = -0.3928

Thus,

35 week gestation period baby weighs 0.3928 Standard deviations less than the mean

Now,

For a 41 week gestation period,

population mean = 3100 gms

S.D = 400 gms

Z-score = 2825 - 3100 / 400 = -11/16 = -0.6875

Thus,

41 week gestation period baby weighs 0.6875 Standard deviations less than the mean

hope this helps.