Graded AssignmentMTH413: Probability and Statistics | Unit 6 | Lesson 9: Unit TestName:Date:Graded AssignmentUnit Test, Part 2: Statistical InferenceAnswer the question below. When you have finished, submit this assignment to your teacher by the due date forfull credit.(10 points)Score1. A farmer divided a field into 1-foot by 1-foot sections and tested soil samples from 32 randomly selectedsections in the field. He finds that the mean pH level of the samples is 5.7 with a standard deviation of 0.26.A. Find the mean and standard deviation of the sampling distribution of all possible soil samples of sizen = 32. Round to three decimal places.B. Construct a 95% confidence interval for the mean pH level of soil samples from every 1-foot by 1-footsection. Show your work. Even if you use technology, show the expression that is used to determinethe margin of error for the interval. Interpret the interval in a complete sentence.C. The farmer tested soil samples from 34 randomly selected sections from another field. He foundthe mean pH level of those samples to be 6.1 with a standard deviation of 0.34. Construct a95% confidence interval for the difference between the mean pH levels of all possible soil samplesfrom both fields. Show your work. Even if you use technology, show the expression that is used todetermine the margin of error for the interval. Interpret the interval in a complete sentence.Answer:Your Score___ of 10© 2012 K12 Inc. All rights reserved.Copying or distributing without K12’s written consent is prohibited.Page 1 of 1