Investigate the relationship between the variables


Assignment Instructions:

Assignment Overview: You need to submit a word file with the answers to 9 questions.

You must use the datasets in file 1 and the automatic dataset summarize to get the descriptive statistics that are used questions 1 to 5 and the inferential statistics that are used in question 6 to 8.

The word count can be less than 1500 words if you are giving answers that demonstrate you have understood the material.

File 1 Dataset overview

Each student is given two datasets, students MUST use the datasets they are given, They CANNOT use datasets they make themselves or take from other sources.

one dataset is information about each staff member in call centre 1.

one dataset is information about each staff member in call centre 2.

Each of the datasets consists of the following variables,

*Original staff or replacement staff? Is the staff member one of the original staff or replacement staff, this is a categorical variable.

*Median call time?, The duration of each of the staff member's calls is recorded and the median call time is calculated, this is a quantitative variable.

*Median above 3 minutes? This is a categorical variable because the possible answers are yes or no.

*Number of complaints? The number of complaints lodged against the staff member, this is a quantitative variable. For the original staff it is the number of complaints in their last month in for the replacement staff it is the number of complaints in the first month

a) Just using the information for call centre 1

i) Paste in descriptive sample statistics that let you investigate the relationship between the variables "Original staff or Replacement staff?" and "median call time?" using the sample

ii) Use the output in part (i) to describe the relationship between the two variables, your discussion must use one of the following sample statistics

Difference between sample meansx ¯_1 -x ¯_2

Difference between sample proportions p ^_1 -p ^_2

correlation coefficient r

b) Just using the information for call centre 2

i) Paste in descriptive sample statistics that let you investigate the claim there is a relationship between the variables "Original staff or Replacement staff?" and "median call time?"

ii) Use the output in part (i) to describe the relationship between the two variables, your discussion must use one of the following sample statistics

Difference between sample meansx ¯_1 -x ¯_2

Difference between sample proportions p ^_1 -p ^_2

correlation coefficient r

c) Compare the results in parts (a) and (b)

Problem 1:

a) Just using the information for call centre 1

i) Paste indescriptive sample statistics that let you investigate the relationship between the variables "Original staff or Replacement staff?" and "number of complaints?" using the sample

ii) Use the output in part (i) to describe the relationship between the two variables, your discussion must use one of the following sample statistics

Difference between sample meansx ¯_1-x ¯_2

Difference between sample proportionsp ^_1 -p ^_2

correlation coefficient r

b) Just using the information for call centre 2

i) Paste in descriptive sample statistics that let you investigate the claim there is a relationship between the variables "Original staff or Replacement staff?" and "number of complaints?"

ii) Use the output in part (i) to describe the relationship between the two variables, your discussion must use one of the following sample statistics

Difference between sample meansx ¯_1 -x ¯_2

Difference between sample proportions p ^_1 -p ^_2

correlation coefficienr

 

c) Compare the results in parts (a) and (b)

Problem 2:

a) Just using the information for call centre 1

i) Paste in descriptive samplestatistics that let you investigate the relationship between the variables "Original staff or Replacement staff?" and "Median above 3 minutes?"using the sample

ii) Use the output in part (i) to describe the relationship between the two variables, your discussion must use one of the following sample statistics

Difference between sample meansx ¯_1 -x ¯_2

Difference between sample proportions p ^_1 -p ^_2

correlation coefficient r

b) Just using the information for call centre 2

i) Paste in descriptive sample statistics that let you investigate the claim there is a relationship between the variables "Original staff or Replacement staff?" and "Median above 3 minutes?"?"

ii)Use the output in part (i) to describe the relationship between the two variables, your discussion must use one of the following sample statistics

Difference between sample meansx ¯_1 -x ¯_2

Difference between sample proportions p ^_1 -p ^_2

correlation coefficient r

c) Compare the results in parts (a) and (b)

Problem 3:

a) Just using the information for call centre 1

i) Paste in descriptive sample statistics and a graph that let you investigate the relationship between the variables "median call time?" and "number of complaints?" using the sample

ii) Use the output in part (i) to describe the relationship between the two variables, your discussion must use one of the following sample statistics

Difference between sample meansx ¯_1 -x ¯_2

Difference between sample proportions p ^_1 -p ^_2

correlation coefficient r

b) Just using the information for call centre 2

i) Paste in descriptive sample statistics and a graph that let you investigate the claim there is a relationship between the variables "median call time?" and "number of complaints?"

ii)Use the output in part (i) to describe the relationship between the two variables, your discussion must use one of the following sample statistics

Difference between sample meansx ¯_1 -x ¯_2

Difference between sample proportions p ^_1 -p ^_2

correlation coefficient r

c) Compare the results in parts (a) and (b)

Problem 4:

Just using the call centre 1 data set

Just considering the original staff

i)What is sample size and sample mean of median call time

ii) what is the zscore of sample mean if population mean is 3 and population standard deviation is 1.1

Just considering the replacement staff

i)What is sample size and sample mean of median call time

ii) what is the zscore of sample mean if population mean is 3 and population standard deviation is 1.1

Problem 5:

Just using the call centre 1 data set

Just considering the original staff

What is the sample size

What is the sample proportion of workers that have a median call time above 3 minutes

ii) use the answer in part (i) and (ii) to find a 95% confidence interval of the population proportion

b) Just considering the replacement staff

i)What is the sample size

ii) What is the sample proportion of workers that have a median call time above 3 minutes

ii) use the answer in part (i) and (ii) to find a 95% confidence interval of the population proportion

Problem 6:

a) Just using the information for call centre 1

i) Paste ininferential statisticsthat measure evidence for the claim there is a relationship between the variables "Original staff or Replacement staff?" and "Median call time?" if you consider the whole population

ii) make suitable comments about the output in part (i)

b) Just using the information for call centre 2

i) Paste in inferential statistics that measure evidence for the claim there is a relationship between the variables "Original staff or Replacement staff?" and "Median call time?" if you consider the whole population

ii) make suitable comments about the output in part (i)

c) Compare the results in parts (a) and (b)

Problem 7:

a) Just using the information for call centre 1

i) Paste in computer output that measure evidence for the claim there is a relationship between the variables "Original staff or Replacement staff?" and "median above 3 minutes?" if you consider the whole population

ii) make suitable comments about the output in part (i)

b) Just using the information for call centre 2

i) Paste in computeroutput that measures evidence for the claim there is a relationship between the variables "Original staff or Replacement staff?" and "median above 3 minutes?" if you consider the whole population

ii) make suitable comments about the output in part (i)

c) Compare the results in parts (a) and (b)

Problem 8:

a) Just using the information for call centre 1

i) Paste in computer output that measures evidence for the claim there is a relationship between the variables "median call time?" and "number of complaints?" if you consider the whole population

ii) make suitable comments about the output in part (i)

b) Just using the information for call centre 2

i) Paste in computer output that measures evidence for the claim there is a relationship between the variables "median call time?" and "number of complaints?" if you consider the whole population

ii) make suitable comments about the output in part (i)

c) Compare the results in parts (a) and (b)

Problem 9:

Comment on the sample report on pages 7 to 11 of this document

discuss the main message of the report and how it is communicated

Hint: If you have no idea how to comment on a report you can download the following example it is a report with a comment on the first page.

Attachment:- Assignment Instructions.rar

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Basic Statistics: Investigate the relationship between the variables
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