Statistics 211

8 September 2022
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Individuals
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are the people or objects included in the study.
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Variable
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is a characteristic of the individual to be measured or observed
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Quantitative Variable
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has a value or numerical measurement for which operations such as addition or averaging make sense.
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Qualitative Variable
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describes an individual by placing the individual into a category or group, such as male or female.
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Population Data
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the data from every individual of interest
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Sample Data
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the data from only some of the individuals of interst
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Population Parameter
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a numerical measure that describes an aspect of a population
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Sample Statistic
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a numerical measure that describes an aspect of a sample
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Statistics
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is the study of how to collect, organize, analyze, and interrupt numerical information from data.
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1 Nominal Level
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applies to data that consist of names, labels, or categories. There is no implied criteria.
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2 Ordinal Level
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applies data that can be arranged in order. However, differences between data values either cannot be determined or are meaning less
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4 Ratio Level
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applies to data that can be arranged in order. Data at ratio can have a true zero.
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3 Interval Level
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applies to data that can be arranged in order. In addition, differences between data values are meaningful.
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Descriptive Statistics
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involves methods or organizing, picturing, and summarizing information from samples or populations.
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Inferential Statistics
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involves methods of using information from a sample to draw conclusions regarding the population.
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Length of time to complete an exam
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ratio
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Time of first class
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interval
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Major field of study
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nominal
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course evaluation scale: Poor, acceptable, good
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ordinal
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Score on last exam (based on 100 possible points)
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ratio
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Age of student
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ratio
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Simple Random Sample
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of n measurements from a population is a subset of the population selected in such a manner that every sample size n from the population has an equal chance of being selected. Use simple random sample from the entire population.
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Stratified Sample
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Divide the entire population into distinct subgroups called strata. Groups are based on characteristics like age, education level, and income.
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Systematic sample
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Number all members of the population sequentially. Then, from a starting point selected at random, include every kth member of the population in sample.
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Convenience Sample
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create a sample by using data from a population that is readily available
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Cluster Sample
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divide the entire population into pre-existing segments or clusters. The clusters are often geographic. Include every member of each selected cluster cluster in the sample.
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Sampling error
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a difference between measurements from a sample and corresponding measurements from the respective population.
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non-sampling error
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is the result of poor sample design.
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Group the businesses according to type: medical, shipping, retail, manufacturing, financial, construction, restaurant, hotel, tourism, and other.
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Stratified Sample example
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Use postal zip code to divide state into regions. Pick a random sample of 10 zip code areas and then include all the businesses in each selected zip code area.
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Cluster Sample
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Send a team of 5 research assistants to bishop street in downtown Hawaii. Let each assistant take a block and interview an employee form each business found. They must get 20.
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Convenience Sample
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Use the Island business directory. Number of all businesses. Select a starting place at random, and then use every 50th business listed until you have 100 business.
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systematic sample
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Assign each business in the island business directory a number, and then use a random-number table to select the business es to be included in the sample.
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Simple random simple
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Frequency table
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partitions data into classes or intervals and shows how many data values are in each class. The classes or intervals are constructed so that each data value falls into exactly one class
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lower class limit
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the lowest data value that can fit in a class.
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upper class limit
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the highest data value that can fit in a class
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width
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the difference between the lower class limit and other lower class limit of the next class
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class width
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largest data value- smallest data value/ desired # of classes
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midpoint
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lower class limit + upper class limit/ 2
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upper class boundaries
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add .5 to the upper class limits
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lower class boundaries
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subtract .5 from the lower class limits
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relative frequency
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class frequency/ total # of frequencies
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Outliers
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in a data set are the data values that are very different from the other measures in the data set.
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Pareto Chart
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is a bar graph which the bar height represents frequency of an event. left to right in order from decreasing height
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circle chart or pie chart
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wedges in a circle visually display proportional parts of the total population that share a common characteristic.
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time series graph
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data plotted in order of occurrence at regular intervals over a period of time
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stem and leaf display
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method of exploratory data analysis that is used to rank-order and arrange data into groups.
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Mound shaped symmetrical
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both sides are the same, graph is folded vertically down the middle.
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uniform or rectangular
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these terms refer to a histogram in which every class has equal frequency.
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skewed left or skewed right
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direction of skewness is to the left or right
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bimodal
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histogram in which the two classes with the largest frequencies are separated by at least one class.
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What is the difference between a class boundary and a class limit? (Select all that apply.)
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Class boundaries are values halfway between the upper class limit of one class and the lower class limit of the next. Class limits specify the span of data values that fall within a class. Class boundaries are possible data values. Class boundaries are not possible data values. Class limits are possible data values.
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What is the difference between a class boundary and a class limit?
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Class limits are possible data values, class boundaries are not possible data values, class limits specify the span of data values, class boundaries are values halfway between the upper class limit of one upper class limit and the lower class limit next.