A report announced that the median sales price of new houses sold one year was $221,000, and the mean sales price was $270,900. Assume that the standard deviation of the prices is $90,000. A. If you select samples of n=100, describe the shape of the sampling distribution of X. 1. The sampling distribution is skewed to the right, but lessed skew to the right than the population. 2. The sampling distribution will be approximately normal. 3. The sampling distribution will depend on the specific sample and will not have a constant shape. 4. The sampling distribution will be approximately uniform. B. If you select a random sample of n=100, what is the probability that the sample mean will be less than $290,000? The probability that the sample mean will be less than $290,000 is___ C. If you select a random sample of n=100, what is the probability that the sample mean will be between $275,000 and $295,000? The probability that the sample mean will be be between $275,000 and $295,000 is

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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A report announced that the median sales price of new houses sold one year was $221,000, and the mean sales price was
$270,900. Assume that the standard deviation of the prices is $90,000.
A. If you select samples of n=100, describe the shape of the sampling distribution of X.
1. The sampling distribution. s skewed to the right, but lessed skew to the right than the population.
2. The sampling distribution will be approximately normal.
3. The sampling distribution will depend on the specific sample and will not have a constant shape.
4. The sampling distribution will be approximately uniform.
B. If you select a random sample of n=100, what is the probability that the sample mean will be less than $290,000?
The probability that the sample mean will be less than $290,000 is______
C. If you select a random sample of n=100, what is the probability that the sample mean will be between $275,000 and
$295,000?
The probability that the sample mean will be be between $275,000
and $295,000 is ___
Transcribed Image Text:A report announced that the median sales price of new houses sold one year was $221,000, and the mean sales price was $270,900. Assume that the standard deviation of the prices is $90,000. A. If you select samples of n=100, describe the shape of the sampling distribution of X. 1. The sampling distribution. s skewed to the right, but lessed skew to the right than the population. 2. The sampling distribution will be approximately normal. 3. The sampling distribution will depend on the specific sample and will not have a constant shape. 4. The sampling distribution will be approximately uniform. B. If you select a random sample of n=100, what is the probability that the sample mean will be less than $290,000? The probability that the sample mean will be less than $290,000 is______ C. If you select a random sample of n=100, what is the probability that the sample mean will be between $275,000 and $295,000? The probability that the sample mean will be be between $275,000 and $295,000 is ___
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