Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 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 460 grams. If a 33​-week gestation period baby weighs 2575 grams and a 40​-week gestation period baby weighs 2975 ​grams, find the corresponding​ z-scores. Which baby weighs less relative to the gestation​ period?

see below

Step-by-step explanation:  5 16  9 34

this a fairly simple calculation once you know the formula for z score, but understanding the z scoring is more confusing

z  = ( x - μ )  / δ       μ mean of the sample,   δ  standard deviation of the sample

                              x is the observed value to check the z score

32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 900 grams

z  = ( x - μ )  / δ      33​-week gestation period baby weighs 2575 grams

   = (2575 - 2700) / 900

   =  -0.138

gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 460 grams.

z  = ( x - μ )  / δ      40​-week gestation period baby weighs 2975 ​grams

   = (2975 - 3100) / 460

   =  -0.272

Which baby weighs less relative to the gestation​ period?

A z-score close to 0 says the data point is close to average.

based on that the 33 week baby is closer to average

the 40 week baby is farther from average

hence the 40 week baby weighs less relative to the gestation period

step-by-step explanation:

i found the koficent of the linear function and i foun c acordind to the strict formula y=kx+c and then i took 2 as an x and replacet it on the formula i found and then foun the y