An engineer wants to determine the effectiveness of a safety program. He collects annual loss of hours due to accidents in 12 plants before and after the program was put into operation. The accompanying table shows a portion of the data. Plant 2 1 Before 100 90 1 83 After 98 88 1 80 picture Click here for the Excel Data File Test statistic Let the difference be defined as Before - After a. Specify the competing hypotheses that determine whether the safety program was effective. Ho: HD 0; HA HD*O = OHO: HD 0: HA HD>0 OHO: HDZ 0; HA HD <0 b-1. Calculate the value of the test statistic. Assume that the hours difference is normally distributed. (Round intermediate calculations to at least 4 decimal places and final to 3 decimal places.)
An engineer wants to determine the effectiveness of a safety program. He collects annual loss of hours due to accidents in 12 plants before and after the program was put into operation. The accompanying table shows a portion of the data. Plant 2 1 Before 100 90 1 83 After 98 88 1 80 picture Click here for the Excel Data File Test statistic Let the difference be defined as Before - After a. Specify the competing hypotheses that determine whether the safety program was effective. Ho: HD 0; HA HD*O = OHO: HD 0: HA HD>0 OHO: HDZ 0; HA HD <0 b-1. Calculate the value of the test statistic. Assume that the hours difference is normally distributed. (Round intermediate calculations to at least 4 decimal places and final to 3 decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Subject: statistics
Transcribed Image Text:b-2. Find the p-value.
Op-value <0.01
O 0.01 s p-value < 0.025
O 0.025 s p-value < 0.05
c. At the 5% significance level, is there sufficient evidence to conclude that the safety program was effective?
10 11 12 18 16 15
0.05 s p-value <0.10
Op-value a 0.10
O Yes, since we reject Ho
O No, since we reject Ho
O Yes, since we do not reject Ho
O No, since we do not reject Ho
1 Plant
21
3
2
4 3
54
6 5
7 6
8 7
98
Show Transcribed Text
14
10 9
16
11 10
12 11
13 12
A
B
Before
100
90
94
85
70
83
88
75
65
58
67
104
5
C
After
98
88
90
86
67
80
90
70
62
60
60
98
S
D
E
F
Transcribed Image Text:An engineer wants to determine the effectiveness of a safety program. He collects annual loss of hours due to accidents in 12 plants
before and after the program was put into operation. The accompanying table shows a portion of the data.
Plant
1
2
:
Before
100
90
1
83
After
98
88
+
60
picture Click here for the Excel Data File
Let the difference be defined as Before - After.
Test statistic
a. Specify the competing hypotheses that determine whether the safety program was effective.
ⒸHO: HD=0; HA HD*O
Ho: HD 0; HA HD> 0
ⒸHO: HD 20: HA HD <0
b-1. Calculate the value of the test statistic. Assume that the hours difference is normally distributed. (Round intermediate calculations
to at least 4 decimal places and final to 3 decimal places.)
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