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.)

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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: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
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.)
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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