According to a recent​ publication, the mean price of new mobile homes is $65,100. Assume a standard deviation of $7700. Let x denote the mean price of a sample of new mobile homes.   a. For samples of 50 mobile homes, the mean and standard deviation of all possible sample mean prices are $_________ and ​$__________​, respectively. ​(Round to the nearest cent as​ needed.) b. For samples of 200 mobile homes, the mean and standard deviation of all possible sample mean prices are ​$________and ​$_________​, respectively. ​(Round to the nearest cent as​ needed.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 5CC
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According to a recent​ publication, the mean price of new mobile homes is $65,100. Assume a standard deviation of $7700. Let x denote the mean price of a sample of new mobile homes.
 
a. For samples of 50 mobile homes, the mean and standard deviation of all possible sample mean prices are $_________ and
​$__________​, respectively.
​(Round to the nearest cent as​ needed.)
b. For samples of 200 mobile homes, the mean and standard deviation of all possible sample mean prices are ​$________and
​$_________​, respectively.
​(Round to the nearest cent as​ needed.)
A researcher focusing on birth weights of babies found that the mean birth weight is 3372 grams (7 pounds, 6.9 ounces) with a standard deviation of 580
grams. Complete parts (a) through (c) below.
A. The group of all babies ever born
B. The number of babies born the year the research was performed
C. The group of all of the babies whose recorded weights were examined
D. The group of researchers
Choose the correct variable below.
A. The number of births per capita
B. The number of babies that were born
C. The accuracy of the measurements of baby birth weights
D. The weights of the babies at birth
b. For samples of size 250, find the mean u, and standard deviation o, of all possible sample mean weights.
(Type an integer or a decimal. Do not round.)
Transcribed Image Text:A researcher focusing on birth weights of babies found that the mean birth weight is 3372 grams (7 pounds, 6.9 ounces) with a standard deviation of 580 grams. Complete parts (a) through (c) below. A. The group of all babies ever born B. The number of babies born the year the research was performed C. The group of all of the babies whose recorded weights were examined D. The group of researchers Choose the correct variable below. A. The number of births per capita B. The number of babies that were born C. The accuracy of the measurements of baby birth weights D. The weights of the babies at birth b. For samples of size 250, find the mean u, and standard deviation o, of all possible sample mean weights. (Type an integer or a decimal. Do not round.)
d. For each of the possible sample sizes, find the probability that the sample mean will equal the population mean.
Probability
1
3
4
(Type integers or simplified fractions.)
Transcribed Image Text:d. For each of the possible sample sizes, find the probability that the sample mean will equal the population mean. Probability 1 3 4 (Type integers or simplified fractions.)
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