Overview
You will use your dataset and the automatic dataset summarizer to get the descriptive statistics that are used 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)
The word count can be less than 1500 words if you are giving answers that demonstrate you have understood the material.
Summary of the dataset (question 1 to 8 given on pages 3 to 6 are about the dataset)
Suppose market research company XYZ did a survey in two different countries. The survey was designed to gather basic information about some customers and their opinion about TV model XYZ
The survey questions were
“What is your Income?”
“What is your gender?”
“How much are you willing to spend on a TV?”
“Would you buy TV model XYZ?”
So there are two datasets, one for each country
One dataset is the survey answers country 1
One dataset is the survey answers country 2
students MUST use the datasets they are given, They CANNOT use datasets they make themselves or take from other sources.
Each of the datasets consists of the following variables,
income? : a quantitative variable
Gender?: a categorical variable
Amount you would spend? : A quantitative variable, the amount they would spend on a TV
Would you buy?: A categorical variable, would they buy TV model XYZ
Question 1
a) Just using the information for Country 1
i) Paste in descriptive sample statistics that let you investigate the relationship between the variables “Gender?” and “Would you buy?” 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 (choose one)
Difference between sample means
Difference between sample proportions
correlation coefficient r
b) Just using the information for Country 2
i) Paste in descriptive sample statistics that let you investigate the claim there is a relationship between the variables “Gender?” and “Would you buy?”
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 (chose one)
Difference between sample means
Difference between sample proportions
correlation coefficient r
c) Compare the results in parts (a) and (b)
Question 2
a) Just using the information for country 1
i) Paste in descriptive sample statistics that let you investigate the relationship between the variables “Would you buy?” and “amount you would spend?” 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 (chose one)
Difference between sample means
Difference between sample proportions
correlation coefficient r
b) Just using the information for Country 2
i) Paste in descriptive sample statistics that let you investigate the claim there is a relationship between the variables “would you buy?” and “amount you would spend?”
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 means
Difference between sample proportions
correlation coefficient r
c) Compare the results in parts (a) and (b)
Question 3
a) Just using the information for Country 1
i) Paste in descriptive sample statistics and a graph that let you investigate the relationship between the variables “Income?” and “Amount you would spend?” 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 means
Difference between sample proportions
correlation coefficient r
b) Just using the information for Country 2
i) Paste in descriptive sample statistics and a graph that let you investigate the claim there is a relationship between the variables “Income?” and “Amount you would spend?” 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 means
Difference between sample proportions
correlation coefficient r
c) Compare the results in parts (a) and (b)
Question 4
a) Considering all people in the country 1 dataset
i) What is sample size n
ii) What is the sample proportion of people that would buy the model XYZ TV
iii) Use the answers in part (i) and (ii) to find the zscore of the sample proportion if you assume the population proportion p=0.5
b) Considering all people in the country 2 dataset
i) What is sample size n
ii) What is the sample proportion of people that would buy the model XYZ TV
iii) Use the answers to parts (i) and (ii) to find zscore of the sample proportion if you assume the population proportion p=0.5
Question 5
Just using the country 1 data set
a) Just considering the people that would buy the TV
i) What is sample size, sample mean and sample standard deviation of income
ii) find a 95% confidence interval for income
b) Just considering the people would not buy the TV
i) What is sample size, the ample mean and sample standard deviation of income
ii) find a 95% confidence interval for income
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