A report announced that the median sales price of new houses sold one year was $231,000, and the mean sales price was $272,800. Assume that the standard deviation of the prices is $100,000. Complete parts (a) through (d) below. IN you soieci saipies uI - I00, uesuIIve ue SIiape UI uIe sampmny uisuDuuUIT UI A. Choose the correct answer below. O A. The sampling distribution will depend on the specific sample and will not have constant shape. O B. The sampling distribution will be approximately normal. OC. The sampling distribution will be approximately uniform. O D. The sampling distribution is skewed to the right, but lessed skew to the right than the population. (c) If you select a random sample of n = 100, what is the probability that the sample mean will be less than $300,000? The probability that the sample mean will be less than $300,000 is. (Round to four decimal places as needed.) (d) If you select a random sample ofn= 100, what is the probability that the sample mean will be between $280,000 and $290,000? The probability that the sample mean will be be between $280,000 and $290,000 is (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A report announced that the median sales price of new houses sold one year was $231,000, and the mean sales price was $272,800. Assume that the standard deviation of the prices is $100,000. Complete parts (a)
through (d) below.
II you StiELl SamipitS UI IT- TUU, utscIiJE LME Shape ui lMe Samping uIStINpuliom VI A.
Choose the correct answer below.
O A. The sampling distribution will depend on the specific sample and will not have a constant shape.
B. The sampling distribution will be approximately normal.
OC. The sampling distribution will be approximately uniform.
O D. The sampling distribution is skewed to the right, but lessed skew to the right than the population.
(c)
If you select a random sample of n= 100, what is the probability that the sample mean wilIl be less than $300,000?
The probability that the sample mean will be less than $300,000 is
(Round to four decimal places as needed.)
(d)
If you select a random sample of n = 100, what is the probability that the sample mean will be between $280,000 and $290,000?
The probability that the sample mean will be be between $280,000 and $290,000 is
(Round to four decimal places as needed.)
Click to select your answer(s).
Transcribed Image Text:A report announced that the median sales price of new houses sold one year was $231,000, and the mean sales price was $272,800. Assume that the standard deviation of the prices is $100,000. Complete parts (a) through (d) below. II you StiELl SamipitS UI IT- TUU, utscIiJE LME Shape ui lMe Samping uIStINpuliom VI A. Choose the correct answer below. O A. The sampling distribution will depend on the specific sample and will not have a constant shape. B. The sampling distribution will be approximately normal. OC. The sampling distribution will be approximately uniform. O D. The sampling distribution is skewed to the right, but lessed skew to the right than the population. (c) If you select a random sample of n= 100, what is the probability that the sample mean wilIl be less than $300,000? The probability that the sample mean will be less than $300,000 is (Round to four decimal places as needed.) (d) If you select a random sample of n = 100, what is the probability that the sample mean will be between $280,000 and $290,000? The probability that the sample mean will be be between $280,000 and $290,000 is (Round to four decimal places as needed.) Click to select your answer(s).
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