2(c) The Taskforce consults you on the approach used in Q1(b) and Q2(a). Discuss three (3) statistical concerns you have (excludes the issue on type of Test Error in Question 2(a)). If you can start the process again from data collection to analysis, explain qualitatively how you would conduct the study.

Vaccine Effective Durations in Weeks
Conqueror	Destroyer
18	21.5
21.7	37.9
19	46.3
28.2	16.2
33.2	47.5
25.4	22.3
32.6	34.8
24.1	21.4
32.3	27.9
30	19.8
31.7	30.3
33.3	29.7
30.9	30.1
21.5	21.4
27.4	20
22.6	41.4
36	23.2
32.1	40.2
37.2	33.5
34.3	38.7
31.6	25.6
9	27.3
28.9	23.9
28.8	29.8
19.5	36.8
34.5	24.3
28.2	26.1
37.9	28.4
23.8	21.9
26.6	34.4
37	41.7
22.9	28.6
20.4	42.1
27.3	28.8
25.7	29.5
29.6	21.5
19.8	12.4
38.7	24.6
19.4	28
28.3	28.3
32.9	49.2
21.4	20.9
30.5	30.4
23.6	31.9
28.3	37.5
17.5	23.1
33.8	33.2
25.2
34.2
28
23.6

Only need to answer 2c. For Reference:

1. (b) The first vaccine that could fight the Covid-Pi virus was developed in February 2021 by Cosmos Pharmaceutical Limited (CPL). It is named the Conqueror. A sample data was collected on its effective duration in weeks, i.e., how long the immunity lasts in a human body after the vaccination. Six months later, another company Delta Life Science (DLS) develops its vaccine named Destroyer. A sample data is collected. DLS Management claims that its Destroyer has longer effective duration than Conqueror. Note: Only one dose will be administered per person for either vaccine. The data is shown in the GBA Data file (see worksheet ‘Vaccine Effectiveness’). Use Microsoft Excel to summarise separately the two (2) sets of data. Identify the locations and spreads of the samples, each with a measure that takes all data into consideration. Comment on their differences. Present each data in an appropriate type of diagram. Comment on the data distributions.

2. (a) Develop an appropriate Hypothesis Test at 0.10 significance level to validate DLS Management’s claim. You may adopt either critical or p value approach with the help of outputs from Excel Data Analysis tool. However, you are required to show all the test steps. Explain the type of Hypothesis Test Error that may occur in your test conclusion, the consequence of this error, and how the probability of its occurrence can be reduced. (23 marks)