Statistics Questions Coursework Example

Student’s Name Professor’s Name Course Date Statistics Questions Statistics in the Courtroom Reason Figure 1 Suggests Ms Gilbert Is Guilty Of Excess Deaths on the Ward Figure 1 showed that between 1990 and 1995, there is one shift with 25 to 35 deaths per year. In 1990, Ms Gilbert started work at the medical ward and halted work at the VA in 1996. It showed fewer deaths when she was not working at the VA, and very many deaths during the period she was present. From 1991 to 1995, the evening shift had very many deaths, and during that period Ms Gilbert was assigned to the evening shift. In 1990, she was working the night shift that experienced exceptionally high mortality. Consequently. Figure 1 Suggests Ms Gilbert Is Guilty Of Excess Deaths on the Ward. Reason Figure 1 Is Not Conclusive Evidence of Ms Gilbert's Guilt The pattern shown in Figure 1 could have been due to typical, expected factors thus the prosecution introduced a statistical test. The relevance of the Coin-Tossing Story to the Trial The coin-tossing story was used to explain the use of p-value to identify the likelihood of chance-like variation. Prosecutor's Fallacy The Prosecutor's Fallacy refers to the incorrect interpretation of a correct statistic (Bolton 52). The defence is concerned about it because it encourages false logic that could be used as the basis for arguments thus leading to misinterpretation by the jury and the incrimination of Ms Gilbert. Solar Company Claim Null and Alternative Hypothesis The null hypothesis is: “The consumer protection agency claim that the actual savings are on average $80 per month”. The alternative hypothesis: “The consumer protection agency claim that the actual savings are on average less than $80 per month”. Critical Value α=0.051-0.05=0.45After looking up .975 on the Z-score chart, Z was determined to be 1.645 Critical Value (Z-score) = 1.645 Test Statistic t=x-u0s/√nt=73-8016.7/√36t=-716.7/6t=-72.783t=-2.515P-Value De...