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Chapter 2: Q2 (page 48)

McDonald鈥檚 dinner service times refers to the accompanying frequency distribution. What problem would be created by using classes of 60-120, 120-180, . . ., 300-360?

Short Answer

Expert verified

While using the classes 60-120, 120-180, 鈥�. 300-360, there is repetition of service time in class intervals. The upper limit of each class is also included in the next class.

Step by step solution

01

Given information

Refer to frequency distribution of McDonald鈥檚 dinner service times.

Service time intervals

Frequency

60-119

7

120-179

22

180-239

14

240-299

2

300-359

5

The given class intervals are 60-119, 120-179, ... ,300-359.

The created class intervals are 60-120,120-180,鈥�,300-360.

02

Define frequency distribution

A frequency distribution is a tabular summarization of counts of subjects in different categories, formed by using the sample data.

Frequency hence represents the count of data.

03

Identify the problem in the created class interval

In case of the given frequency distribution, the classes are non-overlapping which means none of the values lie in two different classes.

On the other hand, the class intervals 60-120,120-180, 鈥� ,300-360 do not have unique values, and thus determining the frequency under each interval is not possible. For example, 120 belongs to two classes; 60-120 and 120-180. And, this applies for each subsequent classes.

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Most popular questions from this chapter

Constructing Frequency Distributions. In Exercises 11鈥�18, use the indicated data to construct the frequency distribution. (The data for Exercises 13鈥�16 can be downloaded at TriolaStats.com.)

Analysis of Last Digits Heights of statistics students were obtained by the author as part of an experiment conducted for class. The last digits of those heights are listed below. Construct a frequency distribution with 10 classes. Based on the distribution, do the heights appear to be reported or actually measured? What do you know about the accuracy of the results?

0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 8 8 9

Interpreting a Histogram. In Exercises 5鈥�8, answer the questions by referring to the following Minitab-generated histogram, which depicts the weights (grams) of all quarters listed in Data Set 29 鈥淐oin Weights鈥� in Appendix B. (Grams are actually units of mass and the values shown on the horizontal scale are rounded.)

Gap What is a reasonable explanation for the gap between the quarters with weights between 5.5 grams and 5.8 grams and the group of quarters with weights between 6.0 grams and 6.4 grams? (Hint: Refer to the columns of quarters in Data Set 29 鈥淐oin Weights鈥� in Appendix B.)

P-Values In Exercises 13鈥�16, write a statement that interprets the P-value and includes a conclusion about linear correlation.

Using the data from Exercise 6 鈥淏ear Measurements,鈥� the P-value is 0.000.

In Exercises 1鈥�6, refer to the data below, which are total home game playing times (hours) for all Major League Baseball teams in a recent year (based on data from Baseball Prospectus).

236 237 238 239 241 241 242 245 245 245 246 247 247 248 248 249 250 250 250 251 252 252 253 253 258 258 258 260 262 264

Data Type

a. The listed playing times are all rounded to the nearest whole number. Before rounding, are the exact playing times discrete data or continuous data?

b. For the listed times, are the data categorical or quantitative?

c. Identify the level of measurement of the listed times: nominal, ordinal, interval, or ratio.

d. Which of the following best describes the sample data: voluntary response sample, random sample, convenience sample, simple sample?

e. The listed total game times are from one recent year, and the data are available for all years back to 1950. Given that the listed times are part of a larger collection of times, do the data constitute a sample or a population?

In Exercises 5鈥�8, identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. The frequency distributions are based on real data from Appendix B.

Age (yr) of Best Actress When Oscar Was Won

Frequency

20-29

29

30-39

34

40-49

14

50-59

3

60-69

5

70-79

1

80-89

1
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