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Chapter 1: Q2-29BSC (page 1)

In Exercises 29鈥�32, Identify the level of measurement of the data as nominal, ordinal, interval, or ratio. Also, explain what is wrong with the given calculation.

Super Bowl The first Super Bowl attended by the author was Super Bowl XLVIII. On the first play of the game, the Seattle defense scored on a safety. The defensive players wore jerseys numbered 31, 28, 41, 56, 25, 54, 69, 50, 91, 72, 29, and the average (mean) of those numbers is 49.6.

Short Answer

Expert verified

The jersey numbers are measured under the nominal level of measurement. The mean value equal to 49.6 has no meaning.

Step by step solution

01

Given information

Jersey numbers of 11 defensive players are given, and the average value of the numbers is equal to 49.6.

02

Identification of the appropriate scale

The mathematical treatment of data depends upon its level of measurement.

Nominal level: Categorical data that does not follow any order but possess specific names/labels are measured under the nominal scale. For example, hair color can be assigned values such as 1 for blonde, 2 for black, and 3 for brunette.

As jersey numbers are mere discrete numbers used to label a player, they can be measured under nominal data.

03

Identification of the error in the given calculation

Statistical measures like mean and median are not computed in the case of nominal data because they have no meaning as values are not quantitative.

As jersey numbers are not numerical but qualitative data, the average value equal to 49.6 has no meaning.

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Most popular questions from this chapter

In Exercises 21鈥�24, refer to the data in the table below. The entries are white blood cell counts (1000 cells,ML) and red blood cell counts (million cells,ML) from male subjects examined as part of a large health study conducted by the National Center for Health Statistics. The data are matched, so that the first subject has a white blood cell count of 8.7 and a red blood cell count of 4.91, and so on.

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Determine whether the sampling method appears to be sound or is flawed.

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Determine whether the data are from discrete data or continuous data set.

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In Exercises 17鈥�20, refer to the sample of body temperatures (degrees Fahrenheit) in the table below. (The body temperatures are from a data set in Appendix B.).

Subject


12345
8 AM9798.597.697.798.7
12 AM97.697.89898.498.4

Conclusion If we analyze the listed body temperatures with suitable methods of statistics, we conclude that when the differences are found between the 8 AM body temperatures and the 12 AM body temperatures, there is a 64% chance that the differences can be explained by random results obtained from populations that have the same 8 AM and 12 AM body temperatures. What should we conclude about the statistical significance of those differences?
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