1. Lazarus Steel Corporation produces iron rods that are supposed to be36 inches long. The machine that makes these rods does not produce each rodexactly 36 inches long. The lengths of the rods are normally distributed, and theyvary slightly. It is known that when the machine is working properly, the meanlength of the rods is 36 inches. The standard deviation of the lengths of all rodsproduce on this machine is always equal to .035 inch. The quality controldepartment at the company takes a sample of 20 such rods every week,calculates the mean length of these rods, and tests the null hypothesis, μ = 36inches, against the alternative hypothesis μ 36 inches. If the null hypothesis isrejected, the machine is stopped and adjusted. A recent sample of 20 rodsproduced a mean length of 36.015 inches.Calculate the P-value for this test of hypothesis. Based on this P-value, will thequality control inspector decide to stop the machine and adjust it if he choosesthe significance level to be .02? What if the significance level is.10?

From the provided information, Population standard deviation (σ) = 0.035 Sample mean (x̄) = 36.015…

Answered: 1. Lazarus Steel Corporation produces…

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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Assume the selling prices of homes in a particular community follow a normal distribution with a mean of $263,100 and a standard deviation of $43,200. Complete parts a through c. a. Determine the range of selling prices in this community that includes one standard deviation around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) b. Determine the range of selling prices in this community that includes two standard deviations around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) c. Determine the range of selling prices in this community that includes three standard deviations around the mean. The range is from $ to $1. (Type integers or decimals. Use ascending order.)
2. Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of .62F °. Find the temperature that separates the top 7% from the bottom 93%. Round to the nearest hundredth of a degree.
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 60 miles/hour. The highway patrol's policy is to issue tickets for cars with speeds exceeding 80 miles/hour. The records show that exactly 5% of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
A variable is normally distributed with mean 15 and standard deviation 3. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed. a) Find the area to the left of 14. b) Find the area to the left of 12. c) Find the area to the right of 13. d) Find the area to the right of 16. e) Find the area between 12 and 25. Question Help: D Post to forum Calculator Submit Question
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 62 miles/hour. The highway patrol's policy is to issue tickets for cars with speeds exceeding 75 miles/hour. The records show that exactly 2% of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
The average height of 1,000 children is 150cm with a standard deviation of 10cm. How many children stand between 155cm and 150cm ? A. Find the raw score for z= -1,-2,-3,+1,+2,+3 B. Sketch the graph C. What z score corresponds to 50? D. What z score corresponds to 60? E. Find the total area . F. Multiply the total area by 1000. G. Make a conclusion.
The following is the height of several students: Jessi: 4'-5", Tom: 6'-1", Mike: 5-9", Julie: 5-1", Michelle: 5-1", Jody: 5-2", and Dave: 6-3". What is the standard deviation of the height of the students? (Round to the nearest whole number.)
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For this project you have to do the following: 1) list five different things that are normally distributed. Examples that you can't use since I came up with them: Shoe size, middle finger length, oxygen level, electricity bill, wait times on line to pay at target. You must give the website where you found that they are normal for each one of them. 2) measure yourself and use the normal distribution to find out what percent of the population is less than use. What this means is that for one of the five things in 1) you need to make sure that you can find the mean and standard deviation. So an example would be: I found the oxygen level mean and standard deviation to be 98.3 and 1.1. My oxygen level is 98.9. Using the normal distribution calculator I found that 69.3% of the population has a lower measure of that.
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