**Using and Managing Data and Information**

**July cohort (2020 – 2021)**

**BA3020QA – **__Assignment 3__

__Assignment 3__

__Task 1 (25 Marks)__

An airline company surveyed its passengers regarding their experience through the airport. They wanted to examine the level of passenger satisfaction and the time taken to get through the airport. The satisfaction level is measured using scores from 0=Not at all satisfied to 60=Very satisfied. The time through the airport was measured by providing each passenger a card once they had checked in at the airport, then returned to an agent once the passenger had reached the departure lounge, the time was measured in minutes. The following questionnaire was used and the data was recorded in a filename “Airport.xlsx”.

**Required:**

- Produce a well labelled frequency and percentage frequency tables for each of the following variables:

- Age
- Type (of travel)

- Draw a well labelled bar chart representing the variable “Age”.
- Use Excel formulae to calculate the descriptive statistics (Location and spread) for the variable “Satisfaction”. The descriptive statistics should include the minimum, maximum, both quartiles, mean, median, variance, standard deviation, range and inter-quartile range. Please note that the statistics should be presented correct to a whole number but the mean and standard deviation should be presented correct to the nearest 1 decimal place. You should also show the formulae used for statistics.
- Draw a well labelled box plot for the variable “Satisfaction” split by “Class” of travel.
- Draw a scatter diagram of the “satisfaction” score against “time” taken and show the linear regression equation in context (not in x and y). Use an Excel formula to calculate the correlation coefficient.

**Note:**

All variables should be clearly named and their correct categories clearly labelled. Graphs should be appropriate and correctly labelled and each of them on the same page. Any calculations should be clearly presented and explained.

__Task 2 (25 Marks)__

The quarterly sales figures for the number of shoes (pairs) sold at a shoe shop is shown on the table below. Enter the following data into Excel:

**Required (using Excel):**

- Draw a line graph to represent the sales figures.
- Show formulas and calculate the moving averages.
- Show formulas and calculate the centred moving averages
- Present the original sales data and the trend of sales figures on the same line graph.

__Task 3 (25 Marks)__

A small hotel with 8 rooms is located in central London. Based on records over the last 5 years, it was estimated that the probability a room is occupied on any particular “weekend” night (Saturday and Sunday) is 0.7. This is the probability of success.

On any particular “weekend” night, a hotel is only occupied (Success) or not occupied (Failure). There are no other possibilities.

**Required:**

- What is the probability that FOUR or more rooms are occupied on any particular weekend night? The occupancy rate on any particular night during a week-day (Monday to Friday) is assumed to be 50%, i.e. a room has a probability of 0.5 to be occupied during any week-day.

On the first Monday in January, 2 out of the 8 rooms were occupied.

- What is the p-value? You need to show the table of values for your calculations. Give your answers correct to 3 decimal places.

**Note:**

Show all your calculations in a well laid-out Excel spreadsheet table with clear headings.

__Task 4 (25 Marks)__

A plumber has decided to use the techniques of project management in order to plan a job. He knew all the different activities of the job, their precedence and their average durations. They are shown on the table below.

**Required:**

- Draw a network diagram representing the sequence of activities and the dependence between them.
- Determine how long it will take to complete the job by conducting the forward pass
- By conducting the backward pass, identify the critical path and the non-critical path(s).

**Note:**

The work for this task should be produced using Word drawing facilities. The forward and backward passes should be clearly shown on the diagram. Each activity should be described using the notation shown in class as follows:

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