### Probability and Statistics Exercise**2. Consider Rolling a Fair Six-Sided Die:**- The die has sides labeled 2, 3, 3, 4, 4, 5 (the numbers 1 and 6 are replaced with 3 and 4, respectively).#### Tasks:A. **Compute the Mean (\( \mu_X \)) and Standard Deviation (\( \sigma_X \))** for rolling this die once.B. **Determine the Normal Distribution** that approximates the mean and totals of the rolls.C. **Find the Probability** that the mean of 70 rolls is less than 3.

Given the experiment of rolling a fair xix sided dice with sides of 2, 3, 3, 4, 4, 5.

Answered: 2. Consider Rolling a Fair six sided…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A construction company that installs drywall wanted to investigate how a person’s age affects how much dry wall they can install in a week. On one hand, it would seem that the younger workers would be able to install more, but it seems that experience would also play a role. Two random samples were taken. Assume the distributions are normal.Dry Wall Results by Age Age 18-21(sheets/week) Age 25-28(sheets/week) 92 104 109 116 93 96 81 104 115 108 109 108 84 116 121 112 94 120 116 108 a) Set up the null and alternative hypotheses to see if there is a difference in the average number of sheets of dry wall that a person can install per week based on age. b) Check the conditions. c) Calculate the test statistic. d) Find the p-value. e) Using α = 0.05, state your conclusion in the context of the problem.

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