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9-24.
  1. When vapor under high pressure is released into the air, the resulting noise can severely damage people’s hearing. This is a concern for large industrial facilities like power plants and factories. To help control this noise pollution companies install silencers, which work on the same principles as car mufflers. Hector is an engineer for Vapor Kinetics. He is testing two different models of silencers, the Hush Puppy and the Quiet Down, by measuring the sound energy in decibels (dB) each silencer is producing at various temperatures and pressures. The data has been sorted and is shown below: Homework Help ✎

  2. Hush Puppy

    19.7

    22.8

    26.3

    27.4

    29.5

    38.8

    39.3

    44.5

    46.7

    50.0

    51.2

    52.4

    53.4

    56.6

    58.0

    58.6

    60.7

    62.3

    66.4

    67.0

    68.6

    69.6

    70.1

    70.9

    71.3

    72.9

    76.4

    76.5

    76.7

    79.5

    Checksum 1664.1

    Quiet Down

    14.2

    16.3

    19.3

    24.6

    26.0

    30.5

    35.8

    37.4

    39.9

    40.0

    40.1

    47.3

    52.9

    53.5

    53.7

    56.0

    56.6

    56.7

    59.1

    59.8

    61.3

    62.6

    63.3

    64.3

    66.5

    67.1

    71.8

    95.7

    101.2

    102.1

    Checksum 1575.6

    1. Create a combination boxplot and histogram for each silencer. For the histograms, scale the x-axis from 12 to 108 and use a bin width of 12 dB.

    2. Describe the center, shape, spread and outliers for each silencer. Make sure your results have the same level of precision as the measurements.

    3. Hector needs to recommend one design for production. Which one do you suggest and why?

    4. The decibel scale is logarithmic, not linear. For example, a 105 dB sound is 8 times louder than a 75 dB sound. This is roughly the difference in noise between running a kitchen blender and running a chain saw. Does this information change your answer to part (c)? Why or why not?

Use your graphing calculator or other statistical program to draw the histograms.

Hush Puppy: The distribution is left skewed so its center and spread are best described by the median of 58.3 dB and IQR of 25.6 dB; there are no apparent outliers.