Statistics BTM8104 Week 9

Question Details: #757
Statistics BTM8104 Week 9

Assignment 1   Exercises – Variables and Distributions

Beginning the Statistical Journey
Welcome to this graduate course in statistics. No matter what your experiences and feelings about statistics are at this time, you will likely find many practical connections to life as you work through this course. If you are diligent and persistent, you will gain a firm understanding of core concepts that will guide your research and critical thinking efforts throughout your academic and professional career.
Application Questions and Problems
Download Data File 1.doc and complete the problems and questions as presented. Show your work (either your hand calculations or your statistical program output). You can either scan your work and submit it as a low-resolution graphic, type your answers directly into the document, or cut and paste your work into a Word file.
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Solution Details: #768
BTM8104 Week 1

Chapter One


  1. Determine whether the evaluated group is a population or a sample

    1. Based on a randomly selected group of 500 patients with high cholesterol, it was found that 67% have heart disease.  Is this a population or a sample; explain your answer.

      The randomly selected group of 500 patients is a considered a sample.  It is considered a group as it was taken from a larger group of patients with high cholesterol, which formed the overall population.


    2. An investigation of 150 randomly selected local restaurants concluded that 42% of local restaurants have serious health code violations.  Is this a population or a sample; explain your answer.

      The randomly selected group of 150 local restaurants is a sample.  This is considered a sample as it was taken from a larger population of local restaurants, and selected to represent that larger restaurant population.


  2. Determine whether the given value is a statistic or a parameter.

    1. A researcher determines that 42.7% of all downtown office buildings have ventilation problems.  Is this a statistic or a parameter; explain your answer.

      This is considered a parameter.  A parameter is an unknown fixed number that describes an already determined quality of a population.  The population in this case is downtown office buildings and the conclusion from the study is a parameter of the population.


    2. After taking the first exam, 15 of the students dropped the class.  Is this a statistic or a parameter; explain your answer.

      This is considered a statistic.  A statistic is a known number which is calculated from a sample and is used to determine parameter qualities for a larger population.  The class is the sample for a population of all classes that took the exam, resulting in the statistic.


  3. Identify the type of sampling used.

    1. A tax auditor selects every 1000th income tax return that is received.  What type of sample is this and why?

      This is considered systematic sampling.  Systematic sampling is where every Kth entry of a population is selected to constitute the sample.  In this case, the interval represented by K is every 1000th income tax returns.


    2. The name of each contestant is written on a separate card, and the cards are placed in a bag with three names being picked from the bag.  What type of sample is this and why?

      This is considered simple random sampling.  Simple random sampling is where a sample is picked from the population by randomly selecting the entries or items from the population blindly.  The person doing the sampling is not allowed to see the entry/item he/she is selecting.


  4. Is the study experimental or observation and why?

    1. A political pollster reports that his candidate has a 10% lead in the polls with 10% undecided.

      This is considered an observation study.  An observation study seeks to find the relationship between changes or differences that exist.  In this example, it can be inferred that the researcher observed a relationship between the candidate’s undecided poll prospects and the lead the candidate has at this point in time.


  5. Select the study that is most appropriate and EXPLAIN WHY it is most appropriate for the study.

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