programmimg with R studio

6. Regarding the random experiment and sample space, which of the following statements is correct? a. In a random experiment, we have no idea what outcome would be. b. If we repeat a random experiment , times, the collection of these n outcomes would form a sample space. c. Even before a random experiment is performed, we know that the outcome must be one of those in the sample space. d. In a random experiment, all outcomes in the sample space are equal likely to happen.Programming with R ( in R studio ), PLEASE ANSWER THE QUESTION WITH COMMENT and DETAIL explanation using R programming PLEASE UPLOAD R programming CODE 1. A product development engineer is interested in determining if the cotton weight in synthetic fiber affects the tensile strength, and he has run a completely randomised experiment with five levels of cotton weight percentage and five replicates. Test the hypothesis that cotton weight percentage in the fiber significantly affects the mean tensile strength or not at 5% and 1% level of significance. Weight Observed Tensile Strength (Ib/in?) Percentage N 3 5 of Cotton 15 7 7 15 11 9 20 12 17 12 18 18 25 14 18 18 19 19 30 19 25 22 19 23 35 7 10 11 15 112. Levitt (1997) studies the effect of increasing the police force on the crime rate by the regression crime = Bo + Bipolice + u. However, there is an obvious endogenous problem of the regressor police, i.e. police is correlated with u. Levitt uses the timing of mayoral and guber- natorial elections as an instrumental variable, i.e. the instrumental variable election for police . Describe the steps of two stage lease squares (2SLS) estimation method (write down the two steps regression formular would be fine).Use the following diagram to solve the problem. a. Use the row-matching method to determine which states can be combined b. Draw the minimized state diagram clearly showing all transitions and the corresponding state table. 0/1 0/0 3 1/1 1 4 0/1 0/1 0/0 1/0 1/1 1/1 1/1 2 51 pts Includes both questionnaires and interviews O Field Experiment O Case Study Observational Study O Survey O Secondary Data Analysis O Correlational Study O Laboratory Experiment Natural Experiment Previous