Mathematics, 27.03.2020 02:52 leapfroggiez

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2900 grams and a standard deviation of 800 grams while babies born after a gestation period of 40 weeks have a mean weight of 3200 grams and a standard deviation of 475 grams. If a 32-week gestation period baby weighs 2700 grams and a 40-week gestation period baby weighs 3000 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?

Answers: 2

Show answers

Answers

Answer from: Reese1394

The z-score of the 32 week gestation period baby is -0.25.

The z-score of the 40 week gestation period baby is -0.42.

The 40 week gestation period baby has the lower z-score, so he weighs less relative to the gestation period.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Which baby weighs less relative to the gestation period?

Whoever has the lower z-score.

32 week baby:

Mean weight of 2900 grams and a standard deviation of 800 grams. 32-week gestation period baby weighs 2700 grams. We have to find Z when $X = 2700, \mu = 2900, \sigma = 800$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2700 - 2900}{800}$

Z = -0.25

The z-score of the 32 week gestation period baby is -0.25.

40 week baby:

Mean weight of 3200 grams and a standard deviation of 475 grams. 40-week gestation period baby weighs 3000 grams. We have to find Z when $X = 3000, \mu = 3200, \sigma = 475$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3000 - 3200}{475}$

Z = -0.42

The z-score of the 40 week gestation period baby is -0.42.

The 40 week gestation period baby has the lower z-score, so he weighs less relative to the gestation period.

Answer from: Quest

1+1=22×1=22-1=11-1=1duh

Answer from: Quest

mariah is studying the life cycle of the monarch butterfly. she must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. she plans to make her choice randomly using a custom spinner divided into four sections. first, however, she spins the spinner 50 times to see the frequencies it generates.

stage times landed on

egg 10

caterpillar 12

chrysalis 15

adult 13

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 18:00

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

Answers: 1

Answer

Mathematics, 21.06.2019 19:00

What is the best way to answer questions with a x expression in the question. for example 3x + 10x=?

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

Answer asap ill give ! ’ a sample of radioactive material decays over time. the number of grams, y , of the material remaining x days after the sample is discovered is given by the equation y = 10(0.5)^x. what does the number 10 represents in the equation? a. the half-life of the radioactive material, in days b. the amount of the sample, in grams, that decays each day c. the time, in days, it will take for the samples to decay completely d. the size of the sample, in grams, at the time the material was discovered

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

The equation represents the function f, and the graph represents the function g. f(x)=3(5/2)^x determine the relationship between the growth factors of f and g. a. the growth factor of g is twice the growth factor of f. b. the growth factor of f is twice the growth factor of g. c. the growth factor of f is 2.5 times the growth factor of g. d. the growth factor of f is the same as the growth factor of g.

Answers: 3

Answer

You know the right answer?

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2900 grams and...

Questions

Mathematics, 05.02.2021 21:40

Three dog grooming companies have new programs for their clients. Sudz- 1 po N-Dogz will have a cost to start up at $2.00 and will be charging $5.00