MATH221 Statistics for Decision Making

Week 1 Homework

Question 1 The age of every fourth person entering a department store. The selected individuals would be considered a:

Homework Help:

1DA. Population/parameter/sample/statistic/inferential/descriptive (Links to an external site.) (DOCX)

Parameter

Sample

Population

Statistic

Question 2 In a survey of 1000 adults, 34% found they prefer charcoal to gas grills. The 1000 would be considered a:

Homework Help:

1DA. Population/parameter/sample/statistic/inferential/descriptive (Links to an external site.) (DOCX)

Population

Sample

Statistic

Parameter

Question 3 The chances of winning the Maryland lottery are one chance in twenty-two million. The probability would be considered an example of:

Homework Help:

1DA. Population/parameter/sample/statistic/inferential/descriptive (Links to an external site.) (DOCX)

Experiment design

A sample

Inferential statistics

Descriptive statistics

Question 4 The ages of 20 first graders would be considered:

Homework Help:

1DB. Qualitative/quantitative/nominal/ordinal/interval/ratio (Links to an external site.) (DOCX)

Qualitative data

Interval data

Nominal data

Quantitative data

Question 5

Marriage status (married, single, etc.) of the faculty at a university would be considered:

Homework Help:

1DB. Qualitative/quantitative/nominal/ordinal/interval/ratio (Links to an external site.) (DOCX)

Qualitative data

Ordinal data

Quantitative data

Ratio data

Question 6

The amount of fat in grams in 58 cookies would be considered:

Homework Help:

1DB. Qualitative/quantitative/nominal/ordinal/interval/ratio (Links to an external site.) (DOCX)

Interval data

Ordinal data

Nominal data

Ratio data

Question 7 Five statistics classes out of 20 are selected and all the students in the selected classes are interviewed. This sampling technique is called:

Homework Help:

1DC. Random/cluster/stratified/convenience/systematic (Links to an external site.) (DOCX)

Convenience

Stratified

Random

Cluster

Question 8 A personnel director at a large company would like to determine whether the company cafeteria is widely used by employees. She calls each employee and asks them whether they usually bring their own lunch, eat at the company cafeteria, or go out for lunch. This study design would be considered:

Homework Help:

1DD. Observational/experiment/simulation/survey (Links to an external site.) (DOCX)

Simulation

Survey

Observational

Experimental

Question 9 Which of the following would be the mean of this data set: 5, 28, 12, 56, 4, 2, 30, 21

Homework Help:

1VA. Calculating mean/standard deviation/variance (population and sample) (Links to an external site.) (2:57)

1DE. Mean/median/mode/right skewed/left skewed/normal (Links to an external site.) (DOCX)

18.24

17.06

19.75

16.50

Question 10 Which of the following would be the standard deviation of this sample data set: 67, 54, 30, 77, 61, 41, 75, 83

Homework Help:

1VA. Calculating mean/standard deviation/variance (population and sample) (Links to an external site.) (2:57)

1DF. Range/variance/standard deviation (population and sample) and shape of distribution, examples (Links to an external site.) (DOCX)

61.0

18.4

340.3

17.3

Question 11

Which of the following would be the variance of this population data set: 3, 9, 8, 9, 4, 5, 7, 11, 9, 7, 5, 4, 3, 1

Homework Help:

1VA. Calculating mean/standard deviation/variance (population and sample) (Links to an external site.) (2:57)

2.92

7.92

8.53

2.81

Question 12

If a data set is right skewed, where would the mean be in relation to the mode?

Homework Help:

1VB. Data distribution comparisons of means and standard deviations, examples (Links to an external site.) (3:01)

1DF. Range/variance/standard deviation (population and sample) and shape of distribution, examples (Links to an external site.) (DOCX)

At the same value

Right skewed distributions don’t have a mean nor mode

At a higher value

At a lower value

Question 13 If data set A has a smaller standard deviation than data set B, what would be different about their distributions?

Homework Help:

1VB. Data distribution comparisons of means and standard deviations, examples (Links to an external site.) (3:01)

1DF. Range/variance/standard deviation (population and sample) and shape of distribution, examples (Links to an external site.) (DOCX)

Data set A would have most of its data to one side of the distribution

Data set A would have a larger mean

Data set A would have more data near the center of the distribution

Data set A would have flatter distribution with more data in each tail

Question 14 In a normally distributed data set with a mean of 24 and a standard deviation of 4.2, what percentage of the data would be between 15.6 and 32.4 and why?

Homework Help:

1VC. Empirical rule definitions and calculations (Links to an external site.) (4:56)

1DG. Standard scores and Empirical Rule definitions and calculations (Links to an external site.) (DOCX)

68% based on the Empirical Rule

95% based on the histogram

95% based on the Empirical Rule

68% based on the histogram

Question 15 Which of the following data sets would you expect to have the highest standard deviation?

Homework Help:

1DF. Range/variance/standard deviation (population and sample) and shape of distribution, examples (Links to an external site.) (DOCX)

Ages of kids in a preschool program (in years)

Prices of used cars (in dollars)

Height of pit bulls (in inches)

Speed of cars during a professional car race (in mph)

Question 16 Which data outcome of the speed of cars would best support removing a speed camera?

Homework Help:

1DF. Range/variance/standard deviation (population and sample) and shape of distribution, examples (Links to an external site.) (DOCX)

High mean with high standard deviation

High mean with small standard deviation

Low mean with high standard deviation

Low mean with low standard deviation

Question 17 In manufacturing, stratified sampling could be used to determine if the machines are operating correctly. Which of the following best describes this type of sampling?

Homework Help:

1DC. Random/cluster/stratified/convenience/systematic (Links to an external site.) (DOCX)

Products are put into groups and some are randomly selected from each group

Every 10th product in the line is selected

Samples are randomly selected throughout the day

Products are put into groups and all are included from several randomly selected groups

Question 18 A graph shows a number line with a mark for each data value in the data set above its value. This graphic is most likely to be:

Homework Help:

1VD. Graphs: histogram, circle graphs, scatter plots in Excel (Links to an external site.) (3:21)

1DH. Graphs: histogram, frequency polygon, stem-leaf plot, dot plot, bar chart (Links to an external site.) (DOCX)

A frequency polygon

A stem-leaf plot

A dot plot

A frequency histogram

Question 19 Match the terms and their definitions

Homework Help:

1VD. Graphs: histogram, circle graphs, scatter plots in Excel (Links to an external site.) (3:21)

1DA. Population/parameter/sample/statistic/inferential/descriptive (Links to an external site.) (DOCX)

1DB. Qualitative/quantitative/nominal/ordinal/interval/ratio (Links to an external site.) (DOCX)

1DC. Random/cluster/stratified/convenience/systematic (Links to an external site.) (DOCX)

1DH. Graphs: histogram, frequency polygon, stem-leaf plot, dot plot, bar chart (Links to an external site.) (DOCX)

Vertical bar chart that shows frequency on the y-axis

A sample where the population is divided into groups and several groups are randomly selected from all from those selected groups are sampled

Collection of all counts that are of interest

A subset or part of a population

A sample where the population is divided into groups and several are randomly sampled form each group

Consists of attributes, labels, or nonnumerical entries

Question 20 Match the terms and their definitions

Homework Help:

1DE. Mean/median/mode/right skewed/left skewed/normal (Links to an external site.) (DOCX)

1DF. Range/variance/standard deviation (population and sample) and shape of distribution, examples (Links to an external site.) (DOCX)

1DG. Standard scores and Empirical Rule definitions and calculations (Links to an external site.) (DOCX)

The most frequent number appearing in a dataset

The average

The percentage of data that falls within 1, 2, or 3 standard deviations of the mean in a symmetrical, bell-shaped distribution

The square root of the variance

Show how far a particular data point is from the mean in terms of the number of standard deviations

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