Complete question :
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 900 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 410 grams. If a 32 -week gestation period baby weighs 3300 grams and a 40 -week gestation period baby weighs 3600 grams, find the correspondingz-scores. Which baby weighs more relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively more?
Answer:
32 - 35 weeks = 0.56
40 weeks : 1.22
40 weeks babies weigh more
Step-by-step explanation:
Given that :
32 - 35 weeks babies :
Mean (m) = 2800
Standard deviation (s) = 900
Weight (x) = 3300
40 weeks babies :
Mean (m) = 3100
Standard deviation (s) = 410
Weight (x) = 3600
Obtain the standardized score for both categories :
Zscore = (x - m) / s
32 - 35 weeks :
Zscore = (3300 - 2800) / 900
Zscore = 0.555555 = 0.56
40 weeks :
Zscore = (3600 - 3100) / 410
Zscore = 1.2195121 = 1.22
Zscore for 40 weeks is higher than 32-35 weeks.
Hence, 40 weeks babies weigh more.
