Vital Statistics: Heights of Men The heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard a ation 3 inches (based on information from Statistical Abstract of the Uni States, 112th edition). (a) What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall? (b) If a random sample of nine 18-year-old men is selected, what is the probability that the mean height x is between 67 and 69 inches?

Vital Statistics: Heights of Men The heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard a ation 3 inches (based on information from Statistical Abstract of the Uni States, 112th edition). (a) What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall? (b) If a random sample of nine 18-year-old men is selected, what is the probability that the mean height x is between 67 and 69 inches?

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Description: suspect that the loader fnaU Siippct4.| Vital Statistics: Heights of Men The heights of 18-year-old men areapproximately normally distributed, with mean 68 inches and standard deation 3 inches (based on information from Statistical Abstract of the U

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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eText Contents A random variable follows the normal probability distribution with a mean of 120 and a standard deviation of 29. Complete parts (a) through (d) below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table. Study Plan a) What is the probability that a randomly selected value from this population is between 95 and 143? Video & Resoui Library (Round to four decimal places as needed.) Accessible Resi Purchase Optid Communicatio Enter your answer in the answer box and then click Check Answer parts remaining Cleat All Type here to search F6 F7 F8 F9 F10 F11 F12 % Numtk 5 € 7 8 9 Y U
use a ti 84 device
Course: Introduction to Statistics (Bus-172) Answer all the questions. Question: 1 A company recently installed a new photocopy machine and evaluating how long it takes for new workers to learn how to use the machine. Suppose it is known that the learning times for all new workers have a skewed-to-the-right distribution with mean 90 minutes and standard deviation of 7 minutes. A sample of 36 workers are Selected. (a) What is the probability that the mean learning time of those sample of 36 workers is at least 98 minutes? (b)What type of shape did you assume for the sampling distribution for sample mean and on what ground? Justify your answer. (c) If one worker starts to learn using the machine at 12 in the noon and the lunch time is 1:40pm, what is the probability that the worker will finish learning before lunch time. (d) Show both the population distribution and sampling distribution of sample mean in a single graph. Formulae: μπμ, στ pq Hô = p, Op x - µ z = x – Hz z = p – Up z = Oß
Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $108.87 . Assume the amounts are normally distributed with standard deviation $18.00 . Use the TI-84 Plus calculator to answer the following. (a) What proportion of bills are greater than $134 ? (b) What proportion of bills are between $83 and $145 ? (c) What is the probability that a randomly selected household had a monthly bill less than $118 ? Round the answers to at least four decimal places. Part 1 of 3 The proportion of bills that are greater than $134 is . Part 2 of 3 The proportion of bills that are between $83 and $145 is . Part 3 of 3 The probability that a randomly selected household had a monthly bill less than $118 is .
Using the standard normal table. Look up a z-score of -0.14. What probability do you see there?
PRACTICE ANOTHER Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 82 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 82 tons and standard deviation o = 0.6 ton. (a) What is the probability that one car chosen at random will have less than 81.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 49 cars chosen at random will have a mean load weight x of less than 81.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 81.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes O No Suppose the weight of coal in 49 cars selected at random had an average x of less than 81.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? O Yes, the…
Thunder Bay District Health Unit records show that geographobia is present in 5% of households. We want to determine the probability of selecting houses at random and not finding a house with a geographobia infection until the sixth house is selected? To answer this question, you would need to use the: Binomial distribution Poisson distribution Geometric distribution Normal distribution
a) Briefly explain the main features of the Normal Distribution and how they are used. (Your answer should include the graphical representation, basic terminology, equation and use of the table.) b) Use the probability table to estimate the percentage of values which would be expected to fall within: ±1 standard deviation either side of the mean ±2 standard deviations either side of the mean i) ii) iii) ±3 standard deviations either side of the mean Discuss your findings with the aid of a suitable diagram. c) An engineering company manufactures a product with a mean of 48,000 and a standard deviation of 6,000. Assuming a Normal Distribution, find the probability of a product failing: - i) After less than 47,000 hours ii) After more than 54,000 hours iii) Between 46,000 and 54,000 hours d) After how many hours will 85 out of a batch of 100 products have failed?
A pair of dice is rolled 210 times. What is the probability that a total of 7 occurs (a) at least 24 times? (b) between 38 and 48 times inclusive? (c) exactly 35 times? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
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Looking for help with part D
It’s 4 part