STA10003 - Report for Work Enjoyment, Job Engagement and Agency Engagement - Foundations of Statistics - Statistics Assignment Help

Assignment Task - 

Scenario

You are a new graduate researcher at a social and psychological sciences research institute. You have been given a dataset based on a survey of Australian public service sector employees, and asked to analyse the data to answer several questions of interest that are presented on the following pages.

Data Preparation

For the purpose of your report, you must use SPSS to draw a random sample of 1500 cases of the 4352 observations. You will conduct your analysis on this sample of 1500. Instructions on how to generate your random sample are on pages 5 to 8 of this document. Note, however, that some variables contain missing values, so each of your analyses might not contain the entire 1500 cases.

ASSIGNMENT – PART 1

For your Assignment - Part 1, you are required to complete the first three (3) questions by producing the appropriate analyses using SPSS and writing the relevant report for each question. You are also required to complete questions 4 and 5, which contain short answer questions.

For each of the first three questions requiring SPSS, you should include the relevant output [e.g., tables] immediately following your report. Graphs, which are part of the report should be included within the report as shown in the report writing examples (see Week 3 > Reporting information about single variables and choosing the correct analysis section)

Question 1

The variable WorkEnjoyment indicates the extent to which each employee agrees with the statement ‘I enjoy my work’. Produce the relevant graph and table to summarise the WorkEnjoyment variable and write a paragraph explaining the key features of the data observed in the output in the style presented in the report writing supplements (see Week 3/ Readings and activities - Reporting information about single variables and choosing the correct analysis).

Question 2

The variable JobEngagement is a scale measurement that indicates how engaged an employee is with the job they work in. This variable was measured on a scale that can take values from 0 to 20, with higher values representing greater employee engagement with their job. Produce the relevant graph and tables to summarise the JobEngagement variable and write a paragraph explaining the key features of the data observed in the output in the style presented in the report writing supplements (see Week 3/ Readings and activities - Reporting information about single variables and choosing the correct analysis).

Question 3

The variable AgencyEngagement is a scale measurement that indicates how engaged an employee is with their Agency/Department. This variable was measured on a scale that can take values from 0 to 20, with higher values representing greater employee engagement with their Agency / Department. Produce the relevant graph and tables to summarise the AgencyEngagement variable and write a paragraph explaining the key features of the data observed in the output in the style presented in the report writing supplements (see Week 3/ Readings and activities - Reporting information about single variables and choosing the correct analysis).

Question 4:

James the postie is accused by his manager of being too slow in completing his mail deliveries. James feels he is completing his designated routes within a reasonable amount of time and calls for an investigation. He makes a point of recording the time it takes him to complete each of his four routes and it turns out they each take 110 minutes.

On which of the following routes would James be considered unusually slow compared to the other posties who deliver on the same routes?

Route 1 where the mean time is μ = 60 minutes and the standard deviation σ = 20 minutes

Route 2 where the mean time is μ = 120 minutes and the standard deviation σ = 10 minutes

Route 3 where the mean time is μ = 100 minutes and the standard deviation σ = 10 minutes

Route 4 where the mean time is μ = 140 minutes and the standard deviation σ = 15 minutes

Justify your answer, quoting the relevant statistics as part of your explanation. Assume the route times are normally distributed.

Question 5:

The Tinned Fruit Company introduced a new range of mid-sized tins of fruit earlier this year. The company claims that the mean weight of these tins of fruit are on average 200g, with a standard deviation of 12g. Recently however, a consumer organisation has received a number of complaints from consumers who believe that the mean weight of their tins containing nectarines is actually less than 200g. To investigate this discrepancy, the consumer organisation randomly selects 1500 tins of nectarines produced in July and records the weight of these tins. This sample is then used to assess whether the company is marketing tins of nectarines that weigh on average less than 200g.

What is the population we can draw conclusions about in this study?     

Marking Details

Prior to submitting your Assignment, use the following checklist as a guide to ensure that you have provided all of the relevant information.

Q1 – Should include [as appropriate]:

A graph and Frequency output appropriate for a categorical variable.

A paragraph that includes mention of largest group, smallest group, spread of percentages [as appropriate], and any other relevant patterns based on the report writing examples in the report writing supplements in Canvas.

Q2 – Should include [as appropriate]:

A graph and Explore output appropriate for a metric variable.

A paragraph that includes a description of the centre, spread, outliers if present, and shape of distribution based on the report writing examples in the report writing supplements in Canvas.

Q3 – Should include [as appropriate]:

A graph and Explore output appropriate for a metric variable.

A paragraph that includes a description of the centre, spread, outliers if present, and shape of distribution based on the report writing examples in the report writing supplements in Canvas.

Q4 and Q5 – The answers should be presented in written form, with sections (a) to (d) in Question 5 clearly identified

Checklist:

• Correct variable used to produce output
• Correct procedure performed
• Graphs appropriately edited and labelled [e.g. edited variable names; “Figure 1. The distribution of ...”]
• All figures quoted in report correct according to your own output
• Correctly referring to the sample or population when appropriate
• Proof reading of reports for errors

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