6 Please only answer ONE of the following questions (worth 3 marks)

Explain why an analyst or business owner might be interested in regression analysis. Please provide an example to support your answer.

OR

Explain (with the use of a business-related example) why the mean and standard deviation are important statistics.

OR

Provide one real-life example that assumes a 'normal distribution'. How does the central limit theorem relate to normality?

7 The management team of a large manufacturing company is interested in determining the views of the company's employees on extending the flexible work arrangements (e.g. working from home) introduced during Covid-19 restrictions, after the severity of the pandemic is over.

The company employs around 1000 people, but the management team only wants to survey a sample of employees. They decide to use the employee database, and a random number generator, to randomly select 200 employees to survey. Which of the following best describes this sampling method?

Select one:

a. Simple Random

b. Stratified

c. None of these choices are correct.

d. Systematic

e. Cluster

8 A researcher wanted to estimate the mean number of hours adults spend formally exercising each week. She gathered a random sample and created a 95% confidence interval of (0.45 hours, 7.94 hours). Which of the following is the correct interpretation of this confidence interval?

Select one:

A. There is a 0.95 probability that adults exercise formally between 0.45 hours and 7.94 hours per week.

B. The population mean number of hours adults spend on formal exercise each week lies between 0.45 and 7.94.

C. We are 95% confident that the population mean number of hours adults spend on formal exercise each week lies between 0.45 and 7.94.

D. We are 95% confident that the sample mean number of hours adults spend on formal exercise each week lies between 0.45 and 7.94.

E. The sample mean number of hours adults spend on formal exercise each week lies between 0.45 and 7.94.

9 You are told that P(A) = 0.4, P(B) = 0.4 and the P(A and B) = 0.3

What is the probability of A given B?

Please give your answer in decimal form correct to 2 decimal places.

10 A store has 2 full time employees, 6 employees that are on a 0.3 workload and 3 employees that are on a 0.6workload.

What is the number of full-time equivalent employees working at this store? Please give your answer in decimal form correct to 1 decimal place.