This paper aims to test the module ILOs using a practical real-life case-study. In this case study, you are going to play the role of an analyst for one of the corporates, let us call it Company-Z. Therefore, let us first introduce the case-study random variables: is the Company-Z monthly revenue along the period Pre-COVID-19(January 2018 to December 2019); is the same Company-Z monthly revenue but during the period Post-COVID-19(March 2020 to September 2020); is the monthly operations cost during the period Pre-COVID-19(January 2018 to December 2019); while is the same monthly operations cost but during the period Post-COVID-19(March 2020 to September 2020). Accordingly, in your analysis, you will depend on two main random variables over two time series. The first random variable is the Company-Z monthly revenue , and the second random variable is the Company-Z monthly operations cost . The two random variables were chosen over two periods of time: the first is (Pre-COVID-19: January 2018 to December 2019), and the second is (Post-COVID-19: March 2020 to September 2020). Your task is to prepare a comprehensive report to the company, fulfilling specific requirements outlined below in point (3). using this data

Date		Jan/2018	Feb/2018	Mar/2018	Apr/2018	May/2018	Jun/2018	Jul/2018	Aug/2018	Sep/2018	Oct/2018	Nov/2018	Dec/2018	Jan/2019	Feb/2019	Mar/2019	Apr/2019	May/2019	Jun/2019	Jul/2019	Aug/2019	Sep/2019	Oct/2019	Nov/2019	Dec/2019
Pre-COVID-19	Y1 (L.E.)	4513.8	4515.1	4514.6	4515.7	4517.4	4513.8	4516.0	4514.7	4516.1	4516.6	4514.2	4515.2	4514.2	4516.8	4514.7	4516.2	4518.1	4517.1	4515.5	4515.3	4517.0	4516.1	4516.3	4515.5
	X1 (L.E.)	9.8	8.7	7.9	8.3	5.6	11.2	8.8	10.4	7.6	7.7	10.9	10.5	12.1	7.2	11.1	7.4	5.6	5.5	9.2	8.9	5.2	8.2	7.7	9.1
Date		Mar/2020	Apr/2020	May/2020	Jun/2020	Jul/2020	Aug/2020	Sep/2020
Post-COVID-19	Y2 (L.E.)	2037.5	2036.0	2049.4	2034.7	2033.9	2037.1	2037.4
	X2 (L.E.)	7.6	13.4	6.3	10.4	12.8	9.5	6.1

What is the appropriate technique to test the following two hypotheses arguing: that the population mean of the monthly operations cost is 0.9 times the value of the average monthly operations cost during the period Pre-COVID-19 , and the population mean of the monthly operations cost is 1.3 times the value of the average monthly operations cost during the period Post-COVID-19 . Write thefull analytical stepsto find the appropriate decision for both hypotheses, as well as comment on the results? use the confidence level 99 percent