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**BUS105 Business Statistics: Instructions for the task**

*It is a report with many sections , all of the answers to all of the sections need to go into a single word document.

*students should do section 3 first, If they understand it is basic market research they should have a rough idea of what is going on, sample output is given on pages 4,5 and 6 the end of this document

Overview :Each student will be given a sample from a large population and **each student will analyse their own sample.
**the data and a short description of the data is given in a separate excel file , This is on moodle or you can click the link https://app.box.com/s/yvtr51gb8exbrbej5jtccteeicoed4me

__Section 0: Cover sheet
__You do need a cover sheet with the following

Student number, (this is very important it lets the marker check you have used numbers based on your student

Name

Subject: bus105 business statistics

Assignment: Computing Assignment

__Section 1: Introduction
__Give an introduction to the assignment by giving a similar examples of a sample and a population and explain how it is useful in business, you should discuss this with your tutor. There are examples in the chapter 1 notes on moodle or you can look athttps://www.youtube.com/watch?v=QQCpZ_J8EmY

__Section 2: Description of the data set__

Describe the dataset and describe each of the variables,

For each variable answer the question is it categorical or numerical?

The dataset is based on survey questions so propose 2 other survey questions

__Section 3: Summary of the data set__

- For the variable
**how much they would pay?**below give graphical and numerical summaries that describes the variable

(in other words give the appropriate univariate statistics and graphical displays)

Also provide give appropriate comments

- Use the filter to exclude the people that do not like the product and find appropriate numerical summaries for the follow variable
- *Variable
**which version they prefer** - *Variable
**How much they would pay**?

Also provide suitable comments

- For
**each pair**of variables below give appropriate graphical and numerical summaries that describes the variable

(in other words give the appropriate bivariate statistics and graphical displays)

i)The variables: **Gender** and **do they like the product** ?

ii)The variables **How much they would pay?** and **gender**

__Section 4: Confidence intervals__

Note: you will have to use the information in section 3b to answer these questions.

Excluding people that do not like the product

i)Find a 90% confidence interval for the proportion of people that prefer version 1

ii)Find a 90% confidence interval for the average amount they would pay

__Section 5: Hypothesis tests __

Note: use the information from question 3c to answer these questions

Perform the appropriate Hypothesis test,

- *The variables:
**Gender**and**do they like the product** - *The variables
**How much they would pay?**and**gender**

__Section 6 : the problems of getting survey data in the real world
__The data set in the assignment is not real world data because every student needs their own sample to prevent copying,Discuss the problems of getting survey data in the real world , Also give an example of an actual product and give appropriate survey questions.

__Section 7: conclusion__

Discuss what you learnt after thinking about the previous sections. Make sure you give a discussion of the results from section 4 and 5

Sample output for assignment 1 section 3

You have a different sample so your numbers will be different

__Section 3: Summary of the data set__

- For
**each**variable below give a graphical and numerical summaries that describes the variable*Variable:**How much they would pay**?

Minimum: | O |

Maximum: | 4.1 |

Count: | 100 |

Mean: | 2.6O2 |

Median: | 3.1 |

Mode: | 3 |

Standard Deviation: | 1.1O8 |

Variance: | 1.271 |

Mid Range: | 1.9 |

Quartiles: | Quartiles:Q _{1} à 3Q _{2} à 3.1Q _{3} à 3.2 |

Add suitable comments

- Use the filter to only include the people that like the product and find appropriate numerical summaries for the follow variable

- *Variable
**which version they prefer**

- *Variable
**How much they would pay**?

Bi)

Row Labels |
Count of Which version is the best? |

Neither | 5 |

version 1 | 2O |

version 2 | 25 |

Grand Total |
5O |

So proportion of neither =5/5O=O.1 ,

proportion of version 1 = 2O/5O=O.4,

proportion that like version3 = 25/5O=O.5

add a suitable comment

3bii)

Minimum: | 2.9 |

Maximum: | 4.1 |

Count | 50 |

Mean: | 3.1O42 |

Median: | 3.1 |

Mode: | 3 |

Standard Deviation: | O.157 |

Quartiles: | Quartiles:Q _{1} –> 3Q _{2} –> 3.1Q _{3} –> 3.2 |

Add a suitable comment

3c IFor **each pair **of variables below give appropriate graphical and numerical summaries that describes the variable

(in other words give the appropriate bivariate statistics and graphical displays)

i)The variables: **Gender** and **do they like the product** ?

ii)The variables **How much they would pay?** and **gender**

3) cii

Row Labels |
like |
hate |
Grand Total |

male | 85% | 15% | 100% |

female | 75% | 25% | 100% |

3cii)

For the MALES the summary of the amount they would pay is

Minimum: | O |

Maximum: | 4.1 |

Range: | 4.1 |

Count: | 6O |

Mean: | 2.797 |

Median: | 3.1 |

Mode: | 3.2 |

Standard Deviation: | O.9772 |

Quartiles: | Quartiles:Q1 –> 3 Q2 –> 3.1 Q3 –> 3.2 |

For the FEMALES the summary of the amount they would pay

Minimum value: | O |

Maximum: | 3.5 |

Range: | 3.5 |

Count: | 4O |

Mean: | 2.411 |

Median: | 3.1 |

Mode: | 3.3 |

Standard Deviation: | 1.3O34 |

Quartiles: | Quartiles:Q1 –> O.3 Q2 –> 3.1 Q3 –> 3.2 |

Add appropriate comments.

__Course description__

Assessment 3 Assessment Type: Computer assignment – analysis and 1500 + 10% word report – individual assessment

Purpose: To allow students to demonstrate an understanding of statistical analysis and the ability summarise and manipulate sample data, make basic statistical inferences and interpret the results in a business context. This assessment contributes to Learning Outcome a, b, c and d.

Task Details: Students will be presented with a set of numerical data, and a business scenario. From this you will need to present, summarise and manipulate sample data, make basic statistical inferences and interpret the results. Report The analysis and conclusions you draw from the analysis needs to be presented in a short report including all relevant analysis either as part of the report or as attachments referred to in appropriate sections of the report.

Presentation: The report needs to be short report format – 1500 + 10% word report format – Word .doc or .docx Title page, executive summary, table of contents, appropriate headings and sub- headings, recommendations, in-text referencing and reference list (Harvard – Anglia style), attachments.

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