Discuss the below:
Q1: A legal researcher is studying the age distribution of juries by comparing them with the overall age distribution of available jurors. The researcher claims that the jury distribution is different from the overall distribution; that is, there is a noticeable age bias in jury selection in this area.The table shows the number of jurors at a county court in one year and the percent of persons residing in that county, by age. Use the population distribution to find the expected juror frequencies.Test the researcher's claim at a = 0.01
21-29 30-39 40-49 50-59 60 and above
Jury 45 128 244 224 359
population 20.50% 21.70% 18.10% 17.30% 22.40%
Q2: A steel pipe fittings company claims that the yield strength of its nontempered couplings is more variable than that of its tempered couplings. A random sample of nine tempered couplings has a standard deviation of 13.1 megapascals, and a similar sample of nine nontempered couplings has a standard deviation of 25.4 megapascals. From past data, it is known that the company's production process results in normally distributed yield strengths.Test the company's claim at a = 0.05.