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Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams while babies born after a gestation period of 40 weeks have a mean weight of 2800 grams and a standard deviation of 425 grams. If a 33​-week gestation period baby weighs 2600 grams and a 41​-week gestation period baby weighs 2900 ​grams, find the corresponding​ z-scores. Which baby weighs more relative to the gestation​ period?

Respuesta :

Answer:

Babies of 33 week weighs relatively less than the babies of 41 week.

Explanation:

Z score is determined by

[tex]=\frac{x-u}{SD}[/tex]

A) For 33 Week baby

Given

Mean [tex]= 2500[/tex]

SD[tex]= 800[/tex]

[tex]x=2600[/tex]

Z score is

[tex]\frac{2600-2500}{800} \\= 0.125[/tex]

B) For 41 Week baby

Given

Mean [tex]= 2800[/tex]

SD[tex]= 425[/tex]

[tex]x=2900[/tex]

Z score is

[tex]\frac{2900-2800}{425} \\= 0.235[/tex]

The z score depicts that the baby of 33 week or 41 week weighs more than the normal babies of same age group.

Thus, babies of 33 week weighs relatively less than the babies of 41 week.

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