Question

Level of noise from several motorcycle engine designs are measured in dB. We want to know if there is significant difference in noise generated in various designs. There are 4 motorcycle engines and five dB readings are made per engine as shown in table below. Level of Noise (dB) Design 1 2 3 4 5 1 19 20 19 30 8 2 80 61 73 56 80 3 47 26 25 35 50 4 95 46 83 97 97

          Level of noise from several motorcycle engine designs are measured in dB. We want to know if there is significant difference in noise generated in various designs. There are 4 motorcycle engines and five dB readings are made per engine as shown in table below.
Level of Noise (dB)
Design
1
2
3
4
5
1
19
20
19
30
8
2
80
61
73
56
80
3
47
26
25
35
50
4
95
46
83
97
97
        
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Level of noise from several motorcycle engine designs are measured in dB. We want to know if there is significant difference in noise generated in various designs. There are 4 motorcycle engines and five dB readings are made per engine as shown in table below.
Level of Noise (dB)
Design
1
2
3
4
5
1
19
20
19
30
8
2
80
61
73
56
80
3
47
26
25
35
50
4
95
46
83
97
97

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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And five dB readings are made per engine as shown in the table below. The level of Noise (dB) Design 1 2 3 4 5 1 20 19 30 8 2 80 61 73 56 80 47 26 25 35 50 3 4 95 46 83
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Transcript

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00:01 So, let us start with the concept which we are going to use here for this question.
00:06 So, since we know that the power gain in a decibel, this can be given by the formula 10 to the power whatever will be the decibels powers we have been given divided by 10.
00:23 So, basically for we have been given the table and we have to complete the missing entries in that table.
00:30 So, for the first reading the power gain this should be equals to 10 to the power the decibel by 10 that will be equals to 10 to the power.
00:42 So, decibel we have been given 1 db that whole divided by 10 this will comes to 10 to the power 0 .1 and hence approximately it is equals to 1 .26.
00:53 So, this is going to be the first reading which we filled into the table.
00:58 Now, the second one pg is equals to 10 to the power 2 by 10 that will be goes to 10 to the power 1 by 5 and hence this will be approximately comes 1 .6.
01:12 Now, next reading will be third pg is equals to 10 to the power 3 by 10 that will be equals to 1 .995 this will be approximately 2 .0.
01:27 And finally, pl will be equals to 1 over 2 that will comes out equals to 0 .5.
01:36 Now, the fourth reading can be fill out like pg is equals to we have to put decibel as 4.
01:43 So, it will be 10 to the power 4 by 10 would be equals to 10 to the power 0 .4 approximately equals to 2 .5.
01:51 Now, fifth reading now we also have to find a pl.
01:56 So, pl is nothing but what 1 by pg.
01:59 So, that will be equals to 1 by 2 .5 will comes out approximately 0 .4...
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