a.Write an appropriate null and alternative hypothesis for this experiment. (2pt)b.In the cheese company’s perspective, explain what the consequence of a Type-I error would be. (2pt)c.In the cheese company’s perspective, explain what the consequence of a Type-II error would be. (2pt)d.Suppose the researcher analyzed the data and found a p-value of 0.02. What would be the appropriate conclusion, in the context of the data? (2pt)2.Body temperatures of healthy koalas are normally distributed with a mean of 36.6°C and a standard deviation of 1.2°C. a.What is the probability that a health koala has a body temperature less than 36.1°C? (1pt)b.Veterinarians at a nature preserve in Australia thought a population of koalas might be infected with a virus, so they chose a random sample of n=40koalasand measured their body temperatures. If they got a sample mean body temperature less than 36.1°C, do you think that this population of koalas is healthy? Why/why not? (4pt) c.List a potential confounding variable for this study and briefly explain a possible consequence it could have on the results. (2pt)Copyright © 2018 Dept. of Statistics and Data Sciences, UT Austin

Part 2– R work (must be done in R)Copy and paste your R code and output into a word document, along with your written answers to the questions, and upload to Canvas. Follow these instructions to import the necessary dataset:Before opening the dataset needed for this problem, you’ll need to call the “car”package (if you didn’t install this package for HW3, go back to that assignment fordirections on how to install it). Run the following line of code: > library(car)Now you can import the “Robey” dataset and use it to answer the question below. Name the data frame with your UT EID:> my_eid <- RobeyRemember to include any code you use along with your answers in your submission!3.The Robey dataset contains fertility rates from a sample of countries. The row.namesvariable lists the country name andregiongives the region each country is in. The tfrvariable is the total fertility rate (average number of children per woman), and contraceptorsis the percent of married women of childbearing age who use contraception.a.How many countries from each region are there in this the dataset? (1pt)b.How does total fertility rate differ across regions? Create an appropriate graph foranswering this question and use it to briefly answer this question in 1 or 2 sentences. (4pt)Copyright © 2018 Dept. of Statistics and Data Sciences, UT Austin