A local home inspector wants to test for lead levels in 10 homes using two different testing methods in each of the homes to determine the level of lead in each of the homes. Two different tests (A and B) are used to determine the level of lead found in each of ten randomly selected homes. The home inspector believes that Test A is more accurate than Test B. The data obtained, for lead level in each home using each method is shown in the table below. SPECIMEN 1 2 3 4 5 6 7 10 A 22.7 23.6 24.0 26.6| 27.2 28.7 35.0 32.5 44.1 47.3 Test 23.0 23.2 23.5 | 25.6 27 27.1 33.2 35.3 40.5 | 47.8 a. Does this data provide convincing evidence to support the home inspectors claim? Provide a statistical justification to support your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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2) A local home inspector wants to test for lead levels in 10 homes using two different testing methods in each
of the homes to determine the level of lead in each of the homes. Two different tests (A and B) are used to
determine the level of lead found in each of ten randomly selected homes. The home inspector believes
that Test A is more accurate than Test B. The data obtained, for lead level in each home using each
method is shown in the table below.
SPECIMEN
8| 9
2
3
4
6
7
10
A
22.7
23.6
24.0
26.6
27.2
28.7
35.0
32.5
44.1
47.3
Test
B
23.0
23.2
23.5
25.6
27
27.1
33.2
35.3
40.5
47.8
a. Does this data provide convincing evidence to support the home inspectors claim? Provide a
statistical justification to support your answer.
b. What kind of error could you have made? What is one consequence of that error?
c. Is the sample statistically significant at the 0.05 level? If not, at what significance level would these
results be statistically significant at?
Transcribed Image Text:2) A local home inspector wants to test for lead levels in 10 homes using two different testing methods in each of the homes to determine the level of lead in each of the homes. Two different tests (A and B) are used to determine the level of lead found in each of ten randomly selected homes. The home inspector believes that Test A is more accurate than Test B. The data obtained, for lead level in each home using each method is shown in the table below. SPECIMEN 8| 9 2 3 4 6 7 10 A 22.7 23.6 24.0 26.6 27.2 28.7 35.0 32.5 44.1 47.3 Test B 23.0 23.2 23.5 25.6 27 27.1 33.2 35.3 40.5 47.8 a. Does this data provide convincing evidence to support the home inspectors claim? Provide a statistical justification to support your answer. b. What kind of error could you have made? What is one consequence of that error? c. Is the sample statistically significant at the 0.05 level? If not, at what significance level would these results be statistically significant at?
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