**Statistical Analysis of Lumber Lengths**The lengths of lumber a machine cuts are normally distributed with a mean of 96 inches and a standard deviation of 0.3 inches.1. **Problem A**: What is the probability that a randomly selected board cut by the machine has a length greater than 96.12 inches?2. **Problem B**: A sample of 43 boards is randomly selected. What is the probability that their mean length is greater than 96.12 inches?**Solution for Problem A**: (a) The probability is [ ]. *(Round to four decimal places as needed.)*For Problem A, you would calculate the Z-score for 96.12 inches and use the standard normal distribution to find the probability. For Problem B, you would use the sampling distribution of the sample mean to find the probability the mean length is greater than 96.12 inches.---**Note:** Replace the bracket in the solution for Problem A with the calculated probability.

The lengths of lumber a machine cuts are normally distributed with a mean of 96 inches and a standard deviation of 0.3 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 96.12 inches? (b) A sample of 43 boards is randomly selected. What is the probability that their mean length is greater than 96.12 inches? (a) The probability is. (Round to four decimal places as needed.)

The lengths of lumber a machine cuts are normally distributed with a mean of 96 inches and a standard deviation of 0.3 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 96.12 inches? (b) A sample of 43 boards is randomly selected. What is the probability that their mean length is greater than 96.12 inches? (a) The probability is. (Round to four decimal places as needed.)

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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