1. In this question, we will analyze the differences between the weight of chicks reared in confinement versus reared on the open range. The data file Chick Weight.JMP contains data on ten families of chicks. In each family, two chicks were randomly chosen with one of the chosen chicks randomly assigned to be reared in confinement and the other assigned to be reared on the open range. The weights (in ounces) of all chicks were recorded after they fully matured. a. Explain why we should analyze difference in the weights of the chicks reared in the two different environments using paired inference. b. Use JMP to calculate the difference between the two weight of the chicks from the same family. Define Difference as OpenRange - Confinement. Copy and paste the 10 values from the data table on your answer sheet. c. Use JMP to find the mean and standard deviation of the difference of the weights of the chicks from the same family. d. Use JMP to find the five-number summary of the difference of the weights of the chicks from the same family. For the next two parts - If you conduct a hypothesis test to answer the research question, make sure to include the null and alternative hypotheses, test statistic, p-value and conclusion as a part of your answer. If you calculate a confidence interval, make sure to include the lower and upper bounds of the interval and the interpretation of the interval and use 95% confidence. e. Answer the following research question: Is there a significant mean difference in weight after maturity for chicks reared in confinement versus reared on the open range in this population of chicks? f. Answer the following research question: What is the population mean difference in weight after maturity for chicks reared in confinement versus reared on the open range in this population of chicks? g. Do you have any concerns about the normality assumption for the sample mean difference in this situation? Explain your answer.... ChickWeight - Distribution of Confinement ? THIF Distributions Confinement B 10 12 14 16 18 Quantiles 100.0% maximum 17 99.5% 17 97.5% 17 90.0% 16.8 75.0% quartile 15 50.0% median 13 25.0% quartile 10.75 10.0% 9.1 2.5% 9 0.5% 0.0% minimum vSummary Statistics Mean 13 Std Dev 2.4494897 Std Err Mean 0.7745967 Upper 95% Mean 14.752259 Lower 95% Mean 11.247741 N 10. . . ChickWeight - Distribution of OpenRange Distributions OpenRange H 8 10 12 14 16 Quantiles 100.0% maximum 15 99.5% 15 97.5% 15 90.0% 14.9 75.0% quartile 12.5 50.0% median 11 25.0% quartile 9 10.0% 8.1 2.5% 8 0.5% 0.0% minimum Summary Statistics Mean Std Dev 2.2110832 Std Err Mean 0.6992059 Upper 95% Mean 12.581714 Lower 95% Mean 9.4182864 N 10Confineme V Chick Family nt OpenRange C01 9 8 2 C02 17 15 C03 14 11 4 C04 13 11 5 C05 15 9 6 C06 10 12 7 C07 11 11 8 C08 13 10 9 C09 13 9 10 C10 15 14