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The table below shows the monthly observed counts (in millions) of users in 2020 on London's public transit network. This data can also be downloaded
The table below shows the monthly observed counts (in millions) of users in 2020 on London's public transit network. This data can also be downloaded as an Excel file from Crowdmark. Before the pandemic, transit usage in London did not vary much each month and was always above 60 million users per month. Researchers would like to know whether there is strong statistical evidence that the lockdown affected the distribution of monthly transit usage in 2020. Month OBS (2020) Jan 64.6 Feb 60.3 Mar 41.7 Apr 6.2 May 3.6 Jun 14.1 Jul 22.0 Aug 24.7 Sep 32.0 Oct 32.5 Nov 27.2 Dec 25.4a) What evidence is provided that illustrates the impact of the UK's COVlD-19 lockdown (in March 2020) on transit usage? [3 marks] b) What is the most appropriate statistical method to answer this research question? Fully justify your selection. [4 marks] c) In words, write one sentence to describe a simple method to approximate the expected number of transit users in a single month. What assumption(s) does this method make, which may not be strictly correct? [2 marks] d) Write an appropriate null hypothesis for this test (don't worry about the alternative this time). [3 marks] 3) Use Excel or pen-and-paper to perform all necessary calculations to apply the method you selected in part b, and find the P-value for this test. [11 marks] f) Assuming a common alpha level, what is the decision? [2 marks] g) Write a one sentence conclusion to answer the researchers' question. [3 marks]
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