The distribution of actual weights of 8-oz chocolate bars produced by a certain machine is normal with mean 7.9 ounces and standard deviation 0.18 ounces. (a) What is the probability that the average weight of a bar in a Simple Random Sample (SRS) with three of these chocolate bars is between 7.72 and 8.08 ounces? ANSWER: (b) For a SRS of three of these chocolate bars, what is the level I such that there is a 4% chance that the average weight is less than L? ANSWER:

The distribution of actual weights of 8-oz chocolate bars produced by a certain machine is normal with mean 7.9 ounces and standard deviation 0.18 ounces. (a) What is the probability that the average weight of a bar in a Simple Random Sample (SRS) with three of these chocolate bars is between 7.72 and 8.08 ounces? ANSWER: (b) For a SRS of three of these chocolate bars, what is the level I such that there is a 4% chance that the average weight is less than L? ANSWER:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The lengths of lumber a machine cuts are normally distributed with a mean of 97 inches and a standard deviation of 0.5 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 97.18 inches? (b) A sample of 43 boards is randomly selected. What is the probability that their mean length is greater than 97.18 inches?
In a study of long distance telephone calls, it was found that the lengths of the calls arenormally distributed with a mean of 120.5 seconds and a standard deviation of 20.0seconds. i. What is the probability that a particular call lasted less than 90.0seconds or more than 130.0 seconds?ii. What is the probability that a particular call lasted more than80.5 seconds?iii. What percentage of these calls lasted between 60 and 90seconds?iv. What must be the length of a particular call be if only 10% of allcalls are shorter?
The lengths of lumber a machine cuts are normally distributed with a mean of 86 inches and a standard deviation of 0.6 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 86.21 inches? (b) A sample of 41 boards is randomly selected. What is the probability that their mean length is greater than 86.21 inches?
The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches and a standard deviation of 0.7 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 105.37 inches? (b) A sample of 35 boards is randomly selected. What is the probability that their mean length is greater than 105.37 inches?
Based on data from 1996-2006 from the Western Regional Climate Center, the average speed of winds in Honolulu, Hawaii is 10.6 mph, with standard deviation of 3.5 mph. Suppose we take a sample of 30 wind speeds. What is the probability that the mean wind speed exceeds 11.8 mph? That is find: P(X>11.8) a. 0.3669 or 36.69% b. 0.6331 or 63.31% c. 0.9699 or 96.99% d. 0.0301 or 3.01%
What is the answer to part F?
The lengths of lumber a machine cuts are normally distributed with a mean of 90 inches and a standard deviation of 0.4 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 90.12 inches? (b) A sample of 39 boards is randomly selected. What is the probability that their mean length is greater than 90.12 inches?
The fill amount of bottles of a soft drink is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.10 liter. If you select a random sample of 100 bottles, a. what is the probability that the sample mean will be between 1.98 and 2.02 liters? b. what is the probability that the sample mean will be below 1.99 liters? c. what is the probability that the sample mean will be greater than 2.02 liters? d. The probability is 95% that the sample mean amount of soft drink will be at least how many liters?
In a certain city the monthly water bill amount is normally distributed with the mean 25 and standard deviation 15. A sample of 36 bills was selected. What is the probability that the average water bill is amount of the sample is between 27.7 and 30?
(a) On a farm, at 20 weeks, the weights of roosters follow an approximately normal distribution with a mean of 2.16 kg and a variance of 0.09 kg2 . i. What is the probability that a randomly selected rooster weighs more than 2.25 kg? ii. What is the probability that a randomly selected rooster weighs between 1.8 and 2 kg? iii. What is the rooster weight corresponding to the 20th percentile?
The lengths of lumber a machine cuts are normally distributed with a mean of 100 inches and a standard deviation of 0.4 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 100.16 inches? (b) A sample of 41 boards is randomly selected. What is the probability that their mean length is greater than 100.16 inches?
A (large) group of people have formed a walking club. Among all the members of the group, the average time it takes to walk a mile is 14 minutes, with a standard deviation of 1.5 minutes. Suppose you take an SRS of ten group members. What is the probability that your sample averages more than 15 minutes to walk a mile?