Question

A researcher focusing on birth weights of babies found that the mean birth weight is 3370 grams ​(7 ​pounds, 6.9 ​ounces) with a standard deviation of 582 grams. Complete parts​ (a) through​ (c) below. a. Identify the population and variable. Choose the correct population below. A. The group of all babies ever born B. The group of researchers C. The number of babies born the year the research was performed D. The group of all of the babies whose recorded weights were examined Choose the correct variable below. A. The weights of the babies at birth B. The accuracy of the measurements of baby birth weights C. The number of babies that were born D. The number of births per capita b. For samples of size 175​, find the mean mu Subscript x overbar and standard deviation sigma Subscript x overbar of all possible sample mean weights. mu Subscript x overbarequals nothing ​(Type an integer or a decimal. Do not​ round.) sigma Subscript x overbarequals nothing ​(Round to two decimal places as​ needed.) c. Repeat part​ (b) for samples of size 350. mu Subscript x overbarequals nothing ​(Type an integer or a decimal. Do not​ round.) sigma Subscript x overbarequals nothing ​(Round to two decimal places as​ needed.)

Answer 1

a) D. The group of all of the babies whose recorded weights were examined

b) A. The weights of the babies at birth

c) i) Ux' = u = 3370;

s.d = 43.95

ii) Ux' = u = 3370

s.d = 35.109

Explanation:

Given:

Mean, u = 3370

Standard deviation = 582

a) Population in statistics involves every member of the group in study.

Here, the correct population is the group of all of the babies whose recorded weights were examined.

b) In statistics, variable involves data collected.

The correct variable is the weights of the babies at birth

c)

i) at X' = 175

Sample mean:

Ux' = u = 3370

Standard deviation:

`\sigma x' = (\sigma)/(√(n)) = (582)/(√(175)) = 43.995`

ii) at X' = 175

Sample mean:

Ux' = u = 3370

Stanard deviation:

`\sigma x' = (\sigma)/(√(n)) = (582)/(√(350)) = 35.109`