Section 1
Use the dataset given below you must use the sample allocated to you based on your student number
https://app.box.com/s/56pb6hqu0ypcg0f3lhy6cl5szt1jgdla
Note that for section 1 the answers are provided so you can check your work, the answers will not be provided for the other sections.

  1. A) paste in the scatterplot for your sample into your word document and give a simple comment about the relationship between the variables, (you do not need to submit the excel file)
  2. B) Estimate the annual contribution if the income is $200,000 using the regression line from part (a)
  3. C) Find the zscore of the estimate in part (B) note that average of the estimates is $27,000 with standard deviation $2,100, remember to show your work.
  4. D) using the zscore from part (C) Find P(Z<zscore) , you can find out the answer using wolframalpha.com
    for example found the zscore was 1.5 if the zscore is 1.5 type in
    P(Z<1.5)
    into wolfram alpha.com
  5. E) If there was a list of 10,000 estimates ranked from lowest to highest, what rank do you think your estimate would be close to?
    Hint: just use the formula
    expected rank = P(Z<zscore)*10000, remember to show your work.



 
Section 2
Use the dataset given below you must use the sample allocated to you based on your student number
https://app.box.com/s/yvhk3e3oymbs3toy6j5xetid82dsjyz4

  1. A) Use the PivotTable feature in excel to find appropriate summary statistics for your sample, This will probably require two PivotTables. You should paste both into word, you do not need the excel file.

Make sure the pivotable (or pivottables) include the following statistics
*Just considering the high risk (riskier type) investments what is the sample size n1 and the proportion of high risk investments that made a loss
*Just considering the low risk (safer type) investments what is the sample size =n2 and What is the proportion of low risk investments that made a loss

  1. B) Use excel to make an appropriate graph that lets you compare the proportions found in parts A and paste this into your word document
  2. C) Looking at your answers to parts (A) and (B) Make a simple comment about the relationship between the variables
    investment type (risky or safe ) and
    Made a profit (made a profit/made a loss)
  3. D) i) Using your sample what is the estimate for p1– p2? In other words what is the difference between the sample proportions –
  4. ii) Find the zscore of the estimate in part (i) note that average of the estimates is 0.1 with standard deviation 0.0743

iii) using part (ii) find  P(Z<zscore) using www.wolframalpha.com
for example if the zscore is 0.5 type in
P(Z<0.5)”
into wolframalpha.com

  1. iv) IF there was a list of 4000 estimates ranked from lowest to highest, roughly what rank do you expect your estimate to have?
    Hint: just use the formula
    expected rank = P(Z<zscore)*4000
    E) test the claim there is a difference in the proportions use a 5% level of significance

i)state an appropriate H0 and H1

  1. ii) find the p-value Only using the answers to part (A) and the webpage
    http://epitools.ausvet.com.au/content.php?page=z-test-2

Do NOT use any other method to find the p-value
Do NOT use any other software package such as SPSS or Analysis tookpak
iii) state whether or not you reject the H0

  1. iv) give a conclusion in plain English



Section 3
Use the dataset given below you must use your own sample
https://app.box.com/s/z0mbtcfsdqxz1rm7rhw3p9sb75aq7174

  1. A) Use the pivot table feature in excel to find appropriate summary statistics for your sample. The following sample statistics must be found

Just considering the low risk investments, what is the sample size n1 , the sample average return of low risk investments  , and the sample standard deviation s1
Just considering the high risk investments , what is the sample size n2 , the sample average return of high risk investments  , and the sample standard deviation s2
Paste the pivot table into the word document you do not need to submit the excel file

  1. B) Give an appropriate graph that shows the relationship between variables, Note that the information in part A is NOT Suitable for a graph you have to get different information
  2. C) Make a simple comment about the relationship between the variables using the answers to (A) and (B)
  3. D)
  4. i) Using your sample what is the estimate for µ1– µ2? In other words what is the difference between the sample means –
  5. ii) Find the zscore of the estimate in part (i) note that average of the estimates -0.0256 with standard deviation 0.0173

iii) using part (ii) What is P(Z<zscore), you can find out the answer using www.wolframalpha.com
for example if the zscore =-1 type in
 P(Z<-1)
into wolfram alpha

  1. iv) If there was a list of 2000 estimates ranked from lowest to highest, what rank do you think your would be close to, hint just use the formula
    expected rank = P(Z<zscore)*2000
  2. E) Test the claim that there is a difference between the means using a 5% level of significance

i)state an appropriate H0 and H1

  1. ii) find the p-value using the answers to part (A))and the webpage
    https://www.medcalc.org/calc/comparison_of_means.php

Do NOT find the p-value using any other method.
Do NOT use any other software package such as SPSS or Analysis tookpak
iii) state whether or not you reject H0

  1. iv) give a conclusion in plain English



 
Section 4  
Use the dataset given below you must use your own sample
https://app.box.com/s/kzc6ivy10gvy4vz6d0pgy0lzh929ivx9
Suppose A business has conducted an opinion poll to find out if their customers support a change to the Business

  1. Use the PivotTable feature in excel to find appropriate summary statistics for your sample,. You should paste both into word, you do not need the excel file.

This pivot table must have the number of people that answer yes and the number of people that answer no

  1. What is sample size and the sample proportion  of people that support the change, Note that  is the estimate for the population proportion p
  2. i) Find the zscore of the estimate in part (a) note that average of the estimates 0.6 is with standard deviation 0.0357
  3. ii) using part (i) what is P(Z<zscore) you can find out the answer using wolframalpha.com
    For example if the zscore is 2 then enter

P(Z<2)
into www.wolframalpha.com

  1. iv) If there was a list of 1000 estimates ranked from lowest to highest, what rank do you think your would be close to, hint just use the formula
    expected rank = P(Z<zscore)*1000
  2. Find a 95% confidence interval for the proportion of people that support the change



 
Section 5
a)You have to obtain your own  dataset,
Your dataset must have the following properties.
It must be have at least 5 rows (observations)
it must have at least 2 variables, (note that the name of each thing in the data set is NOT a variable)
At least one of the variables must be categorical
There are 3 options for getting the dataset
Option 1
*Make up your own dataset, this can be about anything you find interesting, So it could be about businesses, customers, students athletes, cats, monkeys, AYTHING AT ALL.
if you make up your own dataset there is no way it will be the same as another students.
Option 2
*Find and existing data set and email the lecturer the dataset  matthew.maccallum@koi.edu.au
the lecturer will email you a sample of the data set, use the sample , this will make sure there is no way your sample is the same as other students.
Option 3
*find an existing dataset and make up an extra variable email  the lecturer the dataset  matthew.maccallum@koi.edu.au
the lecturer will email you a sample of the data set, use the sample , this will make sure there is no way your sample is the same as other students
b) Pick two of the variables  (make sure one of the variables is categorical) and summarize the variables with a suitable pivot table

  1. c) Paste the dataset and your summary into the word file, you do not need to submit the excel file
    add a very brief comment

Section 6
If you give a brief discussion (total 300 words)  of any of the resources below, or pick two of the resources below or pick all 3, just make sure the total number of words in section 6 is 300 words or less. It is strongly suggested you discuss the examples given in the resources given below
1) Guide to summarizing datasets
https://app.box.com/s/jxuqhpzjrfj14xiq28x1bnywjv1iayr4
2) A students assignment from  2015
https://app.box.com/s/2a72e7i9lduyy3wp8nyd0uogsyvvnzrz
3) Discussion of how mean and standard deviation is used in finance
https://www.youtube.com/watch?v=UwO4JvB9OpE

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