Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3200 grams and a standard deviation of 430 grams. If a 32-week gestation period baby weighs 2500 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? Find the corresponding z-scores. Which baby weighs relatively less? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. The baby born in week 32 weighs relatively less since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 40. B. The baby born in week 40 weighs relatively less since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 32. C. The baby born in week 40 weighs relatively less since its z-score, nothing, is larger than the z-score of nothing for the baby born in week 32. D. The baby born in week 32 weighs relatively less since its z-score, nothing, is larger than the z-score of nothing for the baby born in week 40.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of

2700

grams and a standard deviation of

700

grams while babies born after a gestation period of 40 weeks have a mean weight of

3200

grams and a standard deviation of

430

grams. If a

32-week

gestation period baby weighs

2500

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?

Find the corresponding z-scores. Which baby weighs relatively

less?

Select the correct choice below and fill in the answer boxes to complete your choice.

(Round to two decimal places as needed.)

The baby born in week

weighs relatively

less

since its z-score,

nothing,

smaller

than the z-score of

nothing

for the baby born in week

40.

The baby born in week

weighs relatively

less

since its z-score,

nothing,

smaller

than the z-score of

nothing

for the baby born in week

32.

The baby born in week

weighs relatively

less

since its z-score,

nothing,

larger

than the z-score of

nothing

for the baby born in week

32.

The baby born in week

weighs relatively

less

since its z-score,

nothing,

larger

than the z-score of

nothing

for the baby born in week

40.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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