The American Automobile Association claims that the average daily cost for meals and lodging for vacationing in Texas is larger than the average costs for vacationing in North Carolina. The table below shows the result of a random survey of vacationers in each state. The two samples are independent. Texas North Carolina nį = 35 n2 = 50 %3D *1 = 218 208 $1 = 28 82 = 15 (a) Set up the correct hypotheses to test the claim. (b) Find the standardized test statistic. (c) Find the rejection region and state your conclusion at a 0.01

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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The American Automobile Association claims that the average daily cost
for meals and lodging for vacationing in Texas is larger than the average costs for vacationing in
North Carolina. The table below shows the result of a random survey of vacationers in each state.
The two samples are independent.
Texas
North Carolina
nį = 35
n2 = 50
%3D
*1 = 218
208
$1 = 28
82 = 15
(a) Set up the correct hypotheses to test the claim.
(b) Find the standardized test statistic.
(c) Find the rejection region and state your conclusion at a
0.01
Transcribed Image Text:The American Automobile Association claims that the average daily cost for meals and lodging for vacationing in Texas is larger than the average costs for vacationing in North Carolina. The table below shows the result of a random survey of vacationers in each state. The two samples are independent. Texas North Carolina nį = 35 n2 = 50 %3D *1 = 218 208 $1 = 28 82 = 15 (a) Set up the correct hypotheses to test the claim. (b) Find the standardized test statistic. (c) Find the rejection region and state your conclusion at a 0.01
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