Home sales The housing market has recovered slowlyfrom the economic crisis of 2008. Recently, in one largecommunity, realtors randomly sampled 36 bids frompotential buyers to estimate the average loss in home value. The sample showed the average loss was $9560with a standard deviation of $1500.a) What assumptions and conditions must be checkedbefore finding a confidence interval? How would youcheck them?b) Find a 95% confidence interval for the mean loss invalue per home. c) Interpret this interval and explain what 95% confi-dence means in this context.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Home sales The housing market has recovered slowly
from the economic crisis of 2008. Recently, in one large
community, realtors randomly sampled 36 bids from
potential buyers to estimate the average loss in home

value. The sample showed the average loss was $9560
with a standard deviation of $1500.
a) What assumptions and conditions must be checked
before finding a confidence interval? How would you
check them?
b) Find a 95% confidence interval for the mean loss in
value per home.
c) Interpret this interval and explain what 95% confi-
dence means in this context.
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