ScenarioYou are a new graduate researcher at a social science and psychological sciences research...

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ScenarioYou are a new graduate researcher at a social science and psychological sciences research institute. You have been given a dataset based on the most recent Australian Public Service Commission Census 2016, which is a survey of Australian Public Service Sector Employees and asked to analyse the data to answer several questions of interest.You will use the data set provided for you in the supporting resources section.Data preparationFor the purpose of your report, you must use SPSS to draw a random sample of 1500 of the 4352 observations. You will conduct your analysis on this sample of 1500. Instructions on how to generate your random sample are in the supporting resources section. Note, however, that some variables contain missing values. Therefore, each of your analyses might not contain the entire 1500 cases.Data analysisFor your assignment, you are required to complete the first three questions by producing the appropriate analyses and writing the relevant report for each question. You are also required to complete Questions 4 and 5, two short answer questions. Question 5 is composed of four parts. The reports should follow the format of the model reports provided in the additional resources section. For each of the first four questions requiring SPSS, you should include the relevant output (e.g. tables, confidence interval calculations and graphs) with your report.You are required to produce the following sets of analyses. Each analysis should be accompanied by a brief report (each report should be no more than one page).Data analyses for Assignment 2 – Part 1															Page																			Description																			Instructions																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 course materials.										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 course materials.										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 theAgencyEngagementvariable and write a paragraph explaining the key features of the data observed in the output in the style presented in the course materials.									Instructions					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 course materials.														Produce the relevant graph and table 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 course materials.																			Short answer questions														4							James the postman 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.										On which of the routes would James be considered unusually slow compared to the other posties who deliver on the same routes?Justify your answer, quoting the relevant statistics as part of your explanation. Assume the route times are normally distributed.										5 (a)							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 200 g, with a standard deviation of 12 g. 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 200 g. 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?										5 (b, c and d)							We have produced a sampling distribution for the mean weight using approximately 200 samples of size 1500, taken from a population where the mean is 200 g, with a standard deviation of 12 g. The sampling distribution is displayed in Figure 1.				Figure 1: Distribution of sample means in 200 samples of size 1500, taken from a population where the mean is 200 g and the standard deviation is 12 g							(b) What does the highlighted section of the sampling distribution in Figure 1 represent?(c) The random sample of 1500 tins of nectarines taken by the consumer organization turned out to have a mean weight of 200.8g. Does it look like this sample belongs to the sampling distribution displayed in Figure 1? Justify your answer.(d) Given that the sample was randomly selected from all tins of nectarines produced by the Tinned Fruit Company during July, and given that the weight was measured accurately, what conclusion can we reach from part (c)?

Suraj · Accepted Answer

Data analyses for Assignment 2 – Part 1
1.
Work enjoyment: This variable indicated the extent of an employee to which he/she agree with the statement “I enjoy my work”. The data for this variable is calculated on an ordinal scale from 1 to 5. Where 1 means strongly disagree, 2 means disagree, 3 means neither agree nor disagree, 4 means agree and 5 means strongly agree. It is a kind of categorical variable. 
Thus, for any categorical variable bar plot is very efficient. It gives the bars for each category that how much a single category occurred.
The bar plot is given as follows:
Here, the from the output of the plot is observed that the distribution of the variable is negatively skewed as there a tail stretched towards the left side. Hence, “work enjoyment“ variable is negatively distributed. Also, agree statement seems to be occurred more time.
The summary statistics are given as follows for this variable:
From the above frequency distribution table, it is observed that 56.7% employees agree with the statement and only 4.5% employees are disagree with this statement. So, we can conclude that more than 83.5% employees agree with the statement. 
Also, from the summary statistics, the mean of this variable is around 4 and standard deviation is 0.803 that is the statement is vary from the mean by value 0.803.
2.
Job engagement: This is a quantitative variable and the value of this variable is calculated on the scale of 0 to 20. This variable indicated that how much a particular employee is engaged towards his/her job. High the value the more the employee is engaged towards the job.
Since,

Scenario You are a new graduate researcher at a social science and psychological sciences research institute. You have been given a dataset based on the most recent Australian Public Service...

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Page	Description	Instructions
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 course materials.
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 course materials.
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 theAgencyEngagementvariable and write a paragraph explaining the key features of the data observed in the output in the style presented in the course materials. Instructions 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 course materials.	Produce the relevant graph and table 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 course materials.
Short answer questions
4	James the postman 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.	On which of the routes would James be considered unusually slow compared to the other posties who deliver on the same routes? Justify your answer, quoting the relevant statistics as part of your explanation. Assume the route times are normally distributed.
5 (a)	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 200 g, with a standard deviation of 12 g. 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 200 g. 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?
5 (b, c and d)	We have produced a sampling distribution for the mean weight using approximately 200 samples of size 1500, taken from a population where the mean is 200 g, with a standard deviation of 12 g. The sampling distribution is displayed in Figure 1. Figure 1: Distribution of sample means in 200 samples of size 1500, taken from a population where the mean is 200 g and the standard deviation is 12 g	(b) What does the highlighted section of the sampling distribution in Figure 1 represent? (c) The random sample of 1500 tins of nectarines taken by the consumer organization turned out to have a mean weight of 200.8g. Does it look like this sample belongs to the sampling distribution displayed in Figure 1? Justify your answer. (d) Given that the sample was randomly selected from all tins of nectarines produced by the Tinned Fruit Company during July, and given that the weight was measured accurately, what conclusion can we reach from part (c)?