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BUS105 Business Statistics

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The Computing assignment also consists of 5 preparation quizzes worth 1% each these preparation quizzes are on moodle.

“Instructions for  Major part of assignment, the word file worth 18% of your final grade you submit to Turnitin.

Overview

You need to submit a word file with the answers to 9 questions - the first 8 questions are about the datasets, the last question is a paraphrasing task (refer to page 6)

You will use your datasets and the automatic dataset summarizer to get the descriptive statistics that are used in questions 1 to 5 and the inferential statistics that are used in question 6 to 8.
To check you have correctly obtained your dataset check both p-values are correct when you investigate both categorical variables (question 6 to 8). There will be  videos on moodle explaining to check you have properly obtained your sample

Dataset 1

Version 1 of a virus test is given to some people to check its accuracy

The variables

Are “Reality, virus or no virus?” and “Test result, positive or negative?”

Dataset 2

Version 2  of a virus test is given to some people to check its accuracy

The variables

Are “Reality, virus or no virus?” and “Test result, positive or negative ?”

Dataset 3

Daily flight cancelations  at airline ABC

The variables are “Which Destination “

Sydney to Perth or
Sydney to Brisbane

And “number of cancelations on the flight”

Assume there are no major changes to the covid pandemic during that period the dataset was taken.

Also assume the quantitative variable “number of cancelations…” is normally distributed.

Dataset 4

Daily crowd size and daily drinks sold at a sporting venue.

The variables are “Daily crowd size” and “daily drinks sold”.

1. a Paste dataset 1 into an appropriate dataset summarizer  

Paste in the descriptive statistics into the word file. The descriptive sample statistics let you investigate the relationship between the variables  “Reality, virus or no virus?”  and  ““Test result, positive or negative”  using the sample, This lets you check the accuracy of  version 1 of the virus test

b. Use part a Describe the relationship between the two variables using one of the following numbers, choose the correct option  
  • The difference between sample means-
  • The difference between sample proportions - 
  • The correlation coefficient r

Your description of the relationship between the variables should also describe the relationship using plain English

c. Paste dataset 2  into an appropriate dataset summarizer  

Paste in the descriptive statistics into the word file. The descriptive sample statistics let you investigate the relationship between the variables  “Reality, virus or no virus?”  and  ““Test result, positive or negative”  using the sample , This lets you check the accuracy of  version 2 of the virus test

d. Use the answer in c) part to describe the relationship between the two variables using one of the following numbers, choose the correct option  
  • The difference between sample means-
  • The difference between sample proportions - 
  • The correlation coefficient r

Your description of the relationship between the variables should also describe the relationship using plain English

e. Which version of the virus test is better ? , version 1 or version 2? Give a reason for you answer , you can use the answer to part b) and d) as a way of deciding which version is better, you do not have to decide which is worse false positives or false negatives

2. Paste dataset 3 into the dataset summarizer

a)  Paste the descriptive sample statistics below. The descriptive statistics let you investigate the relationship between the variables “Which destination?” and “Number of cancellations that day?” using the sample
 
b) Use the answer to part a) to describe the relationship byusing one of the following numbers, select the correct option
  • The difference between sample means-
  • The difference between sample proportions - 
  • The correlation coefficient r

You should also describe the relationship in plain English

c) Paste in the graph that shows the predicted shape of the histograms if the variables are normally

distributed and compare the centres and the spreads.

d) Suppose you know the quantitative variable is normally distributed for both groups, make a comment about part c)

3. Paste dataset 4 into an appropriate  dataset summarizer

a)  Paste in the descriptive statistics into the word file. The descriptive sample statistics let you investigate the relationship between the variables “Daily crowd size?” and “Daily drinks sold?” using the sample. Obviously paste in the graph as well.
 
b) Describe the relationship between the variables using one of the following numbers, select the correct option
  • The difference between sample means-
  • The difference between sample proportions - 
  • The correlation coefficient r

Your description of the relationship should also include some plain English.

c) Write an equation that lets you predict the how much they would pay  Y given the change in income X
 
d) Use the information in part (d) to predict drinks sold if venue if the attendance is 5000

4. Note that you need the output from question 1a to answer this question

Just considering the people that have the virus
What is the estimate of the population proportion that will test positive using version 1 of the test
What is the standard error of this estimate?
Just considering the people that do not have the virus  
What is the estimate of the population proportion that will test positive using version 1 of the test
What is the standard error of this estimate?

5. Note that you need the output from question 2a to answer this question

Just considering the flights from Sydney to Perth  find a 95% confidence interval for the  average number of cancellations
Just considering the flights from Sydney to Brisbane  find a 95% confidence interval for the  average number of cancellations

6. Paste dataset 1 into an appropriate dataset summarizer  

Paste in the computer output that measures evidence for the claimthere is a relationship between the variables “Reality, virus or no virus?”  and  ““Test result, positive or negative” if you consider the whole population
 
Comment on the confidence interval
 
What do think would happen to the confidence interval if you increased the sample size, would it get wider or narrower , give a reason for your answer
 
Comment on the pvalue

7. Paste dataset 3 into an appropriate dataset summarizer  

Paste in inferential statistics that measure evidence for the claim there is a relationship between the variables “Which destination?” and “Number of cancellations that day? if you consider the whole population
 
Comment on the confidence interval
 
Comment on the pvalue

8. Paste dataset 4 into an appropriate dataset summarizer  

Paste in computer output that measure evidence for the claimthere is a relationship between the variables “Daily crowd size?” and “Daily drinks sold?” if you consider the whole population

Hint: inferential statistics measure evidence for a claim.

Comment on the confidence interval
Comment on the pvalue

9 . Paraphrase one or more of the concepts in  of one or more of the videos from the list on the next page and explain how the concept (or concept) is useful in business  . A total of 400 words is enough. An easy way to keep the Turnitin match is to give a brief overview of a few different videos it is easier to use your own words when you give a brief overview.

BUS105 Business Statistics

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