Business Statistics

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 5)

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 are videos on moodle explaining to check you have properly obtained your sample

Use this video to check that you have the correct output for question 1a and 6a

Dataset 2

University XYZ records the following information for 100 students

1) Is the student learning online?

2) How many files where downloaded from moodle?

Dataset 3

University XYZ gives out a survey to 100 students in a statistics course

The survey questions were

1) Do you think the course is useful ?

2) Did you learn the course online? or in the classroom at campus ?

Dataset is the questions and answers to the survey above.

Question 1

Paste dataset 1 into the dataset summarizer

a) Paste the descriptive sample statistics and the scatterplot into the word file. The descriptive statistics let you investigate the relationship between the variables “Number of files downloaded from moodle?” and “Final mark?” using the sample

b) Use the output in part (a) to describe the relationship between the two variables, do not use any numbers in your discussion

c) Also describe the relationship by using one of the following numbers, select the correct option

· The difference between sample means -

· The difference between sample proportions -

· The correlation coefficient r

d) Write an equation that lets you predict the final mark Y given the number of files downloaded X

e) Use the information in part (d) to predict the final mark if 10 files are downloaded from moodle

Question 2 Paste dataset 2 into the dataset summarizer

a) Paste in the descriptive statistics into the word file. The descriptive sample statistics let you investigate the relationship between the variables “Is the student leaning online?” and “Number of files downloaded from Moodle?” using the sample

b) Describe the relationship between the variables without using any numbers

c) 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

Question 3

Paste dataset 3 into the dataset summarizer

b) Describe the relationship between the variables without using any numbers

c) 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

Question 4

Paste dataset 1 into the summarizer to obtain the information needed to answer the question below

a) Considering the variable “files downloaded” find the zscore of the sample mean if you assume the population mean is µ=10 and the population standard deviation is σ=6

b) Considering the variable “Final mark” find the zscore of the sample mean if you assume the population mean is µ=5 and the population standard deviation is σ=3

Question 5

Paste dataset 2 into the summarizer to obtain the information needed to answer the question below. You also need to use the t table given at the end of sample final exams

a) Just considering the people that are learning On campus find a 95% confidence interval for the average number of files downloaded

b) Just considering the people that are learning Online find a 95% confidence interval for the average number of files downloaded

Question 6

Paste dataset 1 into the dataset summarizer

a) Paste in computer output that measures evidence for the claim there is a relationship between the variables “Files downloaded from moodle?” and “Final mark?” if you consider the whole population

b) Make suitable comments about the output in part (a)

c) If another sample had a lower coefficient of determination R2 would you expect the p value to be lower or higher ?

Question 7

Paste dataset 2 into the dataset summarizer

a) Paste in inferential statistics that measure evidence for the claim there is a relationship between the variables “Is the student leaning online?” and “How many files were downloaded from Moodle?” if you consider the whole population

b) Make suitable comments about the output in part (a)

c) Go back to the dataset summarizer and scroll down , Paste in the output for question 7c given below the inferential statistics

d) Compare the cases given in question 2 part (a) and the output in part (c) above in which case is there more evidence of a relationship between the variables? Which case would have a lower p-value ?

Question 8

Paste dataset 3 into the dataset summarizer

a) Paste in computer output that measure evidence for the claim there is a relationship between the variables “Do you think the course is useful ?” and “Did you learn the course online?” if you consider the whole population

Hint: inferential statistics measure evidence for a claim.

b) Make suitable comments about the output in part (a)

c) Go back to the dataset summarizer and scroll down. Paste in the output for question 8c given below the inferential statistics

d) Compare the cases given in question 3 part (a) and the case given in part (c) above. In which case is there more evidence of a relationship between the variables ? Which case would have a lower p-value ?

Question 9

Briefly discuss the sample report given in the link below , in particular discuss the data , how the data was analysed and the main message of the report