A lecturer obtained data on all the emails she had sent from 2017 to 2021, using her work email address. A random sample of 500 of these emails were used by the lecturer to explore her emailing sending habits.

Question 5. [ 12 marks] [Chapters 7 and 8] A lecturer obtained data on all the emails she had sent from 2017 to 2021, using her work email address. A random sample of 500 of these emails were used by the lecturer to explore her emailing sending habits. (a) For each of the scenarios 1 to 4 below: [4 marks 1 mark for each scenario ] (i) Write down the name of the variable(s), given in the table above, needed to examine the question. (ii) For each variable in (i) write dovm its type (numeric or categorical). Some of the variables selected were: Year Subject length Word count Reply email Time of day Email type The year the email was sent: (b) What tool(s) should you use to begin to investigate the scenarios 1 to 4 below? Write down the _ 2 0 1 7 scenario number 1 to 4 followed by the appropriate tool. Hint: Refer to the blue notes in Chapter 1 2 0 1 8 in the Lecture Workbook. [4 marks 1 mark for each scenario ] _ 2 O l 9 (c) Given that the underlying assumptions are satised, which form of analysis below should be used 2 02 0 in the investigation of each of the scenarios 1 to 4 below? Write down the scenario number 1 to 4 2 O 2 1 followed by the appropliate Code A to F, [ 4 marks - 1 mark for each scenario ] The number of words in the email subject The number of words in the body of the email Scenario 1 Whether the email was sent as a reply to another email: Yes Scenario 2 _ No Scenario 3 The time of day the email was sent: . Scenario 4 AM PM The type of email sent: Text only Not text only Is there a difference between the proportion of AM reply emails and the proportion of PM reply emails? Does the average word count of the emails depend on year? Is there a difference between the proportion of text only emails sent in 2017 compared to the proportion of text only emails sent in 2021? Is the number of words in the email's subject related to its type? Code Form of analysis A B C D E F One sample t-test on a mean One sample t-test on a proportion One sample t-test on a mean of differences Two sample t-test on a difference between two means t-test on a difference between two proponions One-way analysis of variance F-test