MATH 221 Week 1 Homework: Statistics for Decision-Making
A recent survey of the alumni of a university indicated that the average salary of 10,000 of its 200,000 graduates was $130,000. The $130,000 would be conside
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MATH 221 Week 1 Homework: Statistics for Decision-Making
A recent survey of the alumni of a university indicated that the average salary of 10,000 of its 200,000 graduates was $130,000. The $130,000 would be considered a:
Population
Parameter Correct!
Statistic
Sample Question 2
2 / 2 pts
A survey of 1050 students was taken from a university with 19,500 students. The 19,500 would be considered a:
Parameter
Sample Correct!
Population
Statistic Question 3
2 / 2 pts
Inferential statistics is when sample data is used to: Correct!
Say something about the population
Calculate a mean
Influence a decision maker
Determine when an event is most likely to occur
Question 4
2 / 2 pts
The milligrams of tar in 30 cigarettes would be considered:
Nominal data
Interval data
Ordinal data Correct!
Ratio data Question 5
2 / 2 pts
If a data set included the color of cars in a parking lot, those data would be considered:
Ratio data Correct!
Qualitative data
Interval data
Quantitative data Question 6
2 / 2 pts
The compensation of all college graduates would be considered:
Correct!
Ratio data
Ordinal data
Nominal data
Qualitative data
Question 7
2 / 2 pts
Every fifth person boarding a plane is asked additional security questions. This sampling technique is called:
Cluster
Stratified Correct!
Systematic
Random Question 8
2 / 2 pts
A personal director at a large company would like to determine whether the company cafeteria is widely used by employees. She sits by the cafeteria entrance and counts how many employees enter. This study design would be considered:
Experimental
Survey
Simulation Correct!
Observational Question 9
2 / 2 pts
Which of the following would be the mean of this data set: 5, 7, 12, 56, 4, 2, 33, 21
8.0
Correct!
17.5
18.7
140.0
Question 10
2 / 2 pts
Which of the following would be the standard deviation of this sample data set: 67, 54, 17, 77, 92, 41, 75, 81
600.3
525.2
Correct!
24.5
22.9
Question 11
2 / 2 pts
Which of the following would be the variance of this population data set: 3, 6, 8, 9, 4, 5, 7, 1, 9,
7, 5, 4, 3, 1
Correct!
6.55
2.66
2.56
7.05
Question 12
2 / 2 pts
If a data set is right skewed, where would the mean be in relation to the mode?
At a lower value
At the same value Correct!
At a higher value
Right skewed distributions don't have a mean nor mode Question 13
2 / 2 pts
If data set A has a smaller standard deviation than data set B, what would be different about their distributions?
Correct!
Data set A would have more data near the center of the distribution
Data set A would have most of its data to one side of the distribution
Data set A would have flatter distribution with more data in each tail
Data set A would have a larger mean Question 14
2 / 2 pts
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 19.8 and 28.2 and why?
68% based on the histogram
95% based on the histogram
95% based on the Empirical Rule Correct!
68% based on the Empirical Rule Question 15
2 / 2 pts
Which of the following data sets would you expect to have the smallest mean?
Weight of an orange (in ounces)
Ages of people taking college classes (in years)
Amount of soda in an unopened can (in ounces) Correct!
The number of phones a person owns Question 16
2 / 2 pts
Which data outcome of the speed of cars would best support removing a speed camera?
High mean with small standard deviation
Low mean with high standard deviation
High mean with high standard deviation Correct!
Low mean with low standard deviation Question 17
2 / 2 pts
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?
Products are put into groups and all are included from several randomly selected groups
Samples are randomly selected throughout the day Correct!
Products are put into groups and some are randomly selected from each group
Every 10th product in the line is selected Question 18
2 / 2 pts
A graph shows the ten's digit on the left and the one's digits on the right. This graphic is most likely to be:
A frequency polygon
A dot plot Correct!
A stem-leaf plot
A frequency histogram Question 19
2 / 2 pts
Match the terms and their definitions Correct!
Vertical bar chart that shows frequency on the y-axis - histogram
Correct!
A sample where the population is divided into groups and several groups are randomly selected from all from those selected groups are sampled - cluster sample
Correct!
Collection of all counts that are of interest –population
Correct!
A subset or part of a population - sample
Correct!
A sample where the population is divided into groups and several are randomly sampled form each group – stratified sample
Correct!
Consists of attributes, labels, or nonnumerical entries – qualitative data
Question 20
2 / 2 pts
Match the terms and their definitions
Correct!
The most frequent number appearing in a dataset - mode
Correct!
The average - mean
Correct!
The percentage of data that falls within 1, 2, or 3 standard deviations of the mean in a symmetrical, bell-shaped distribution – empirical rule
Correct!
The square root of the variance – standard deviation
Correct!
Show how far a particular data point is from the mean in terms of the number of standard deviations
- Standard score
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