5. Tyler has just moved into a new apartment and wants to purchase a new couch. He believes the mean price of a couch sold local may be greater than the mean price from an online retailer. He takes independent random samples of couches sold locally and onlin These samples consisted of 45 local store prices which had mean $670, and 42 online prices which had mean $650. Assume th population of prices for each type of store are normally distributed with standard deviation $52. Test the claim that the mean prie of couches sold locally is greater than the mean price online using a 10% level of significance. Let u, be the mean price localy. a. Write the hypotheses, b. Identify sample statistics and given values symbollically.
5. Tyler has just moved into a new apartment and wants to purchase a new couch. He believes the mean price of a couch sold local may be greater than the mean price from an online retailer. He takes independent random samples of couches sold locally and onlin These samples consisted of 45 local store prices which had mean $670, and 42 online prices which had mean $650. Assume th population of prices for each type of store are normally distributed with standard deviation $52. Test the claim that the mean prie of couches sold locally is greater than the mean price online using a 10% level of significance. Let u, be the mean price localy. a. Write the hypotheses, b. Identify sample statistics and given values symbollically.
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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Transcribed Image Text:5. Tyler has just moved into a new apartment and wants to purchase a new couch. He believes the mean price of a couch sold locally
may be greater than the mean price from an online retailer. He takes independent random samples of couches sold locally and online.
These samples consisted of 45 local store prices which had mean $670, and 42 online prices which had mean $650. Assume the
population of prices for each type of store are normally distributed with standard deviation $52. Test the claim that the mean price
of couches sold locally is greater than the mean price online using a 10% level of significance. Let u, be the mean price locally.
a. Write the hypotheses.
b. Identify sample statistics and given values symbollicaly.
Use your TI83/84 to find the TV. Do you use 2-SampZTest or 2-SampT
Test? Explain the reason for your choice.
d. Find the p-value and write in decimal form
(4 dec places) and as a percent.
C.
e. P-value Method.
Circle the correct statement.
f. Traditional Method.
Based on part e, circle the correct statement,
p-value Sa
p-value > a
TV is in the CR
TV is not in the CR
What is your decision? (circle one)
h. Write the conclusion.
At the 10% significance level there,
enough evidence to support the claim that the mean price of
couches bought locally is greater than the mean price online.
9.
(is/is not)
Reject Ho
Fail to reject Ho
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