A population of values has a normal distribution with = 114.1 and o= 32.6. You intend to draw arandom sample of size n = 192.Find the probability that a single randomly selected value is less than 112.7.P(X < 112.7) =Find the probability that a sample of size n = 192 is randomly selected with a mean less than 112.7.P(M < 112.7) =Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.Submit Question

A population of values has a normal distribution with and .Sample size:

Answered: A population of values has a normal…

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 that adults have IQ score that are normally distributed with a mean of 100.4 and a standard deviation of 19.1. Find the probability that a randomly selected adult has an IQ greater than 130.7 (hint draw a graph.) the probability that a randomly selected adult from this group has an IQ greater than 130.7
On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 102 and a standard deviation of 18. Suppose one individual is randomly chosen. Let X = IQ of an individual.Find the probability that a randomly selected person's IQ is over 99. Round your answer to 4 decimal places.A school offers special services for all children in the bottom 6% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places.Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places.Q1: Q3: IQR:
The mean weight of all Goliath grouper caught on the Treasure coast is 377 pounds, with a standard deviation of 72 pounds. Suppose a random sample of 37 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 37 Goliath Grouper is within 31 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution four decimal places, if necessary.
llustration 17.8. For a binomial distribution the mean is 6 and standard deviation is 2. Write out all the terms of the distri- bution.
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1463 and the standard deviation was 314. The test scores of four students selected at random are 1870, 1220, 2190, and 1340. Find the z-scores ← that correspond to each value and determine whether any of the values are unusual. F1 The z-score for 1870 is (Round to two decimal places as needed.) The z-score for 1220 is. (Round to two decimal places as needed.) The z-score for 2190 is (Round to two decimal places as needed.) The z-score for 1340 is. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The unusual value(s) is/are. (Use a comma to separate answers as needed.) OB. None of the values are unusual. F2 80 F3 000 000 F4 F5 ^ MacBook Air F6 & A D F7 * DII F8 DD F9 ) J 운 F10 I a F11 + Next F12 delete
Part 1 A population of values has a normal distribution with mean of 50.6 and standard deviation of 98.9. a) Get the z-score for a value of 44. For this problem you use the z score formula b) This z-score tells you how many the score of 44 is above or below the population mean u. c) Find the probability that a randomly selected value is less than 44.
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The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The manufacturer tells you that the net weight is actually a Normal random variable with a mean of 5.95 ounces and a standard deviation of 0.2 ounces. Suppose that you draw a random sample of 42 cans. Parti) Suppose the number of cans drawn is doubled. How will the standard deviation sample mean weight change? A. It will decrease by a factor of √2. B. It will increase by a factor of √2. C. It will increase by a factor of 2. D. It will decrease by a factor of 2. E. It will remain unchanged. Part ii) Suppose the number of cans drawn is doubled. How will the mean of the sample mean weight change? ▸ A. It will increase by a factor of √2. B. It will decrease by a factor of 2. C. It will increase by a factor of 2. D. It will decrease by a factor of √2. E. It will remain unchanged. Part iii) Consider the statement: The distribution of the mean weight of the sampled cans of Ocean brand tuna is Normal." A. It…
A population of values has a mean of 59.6 and standard deviation of 35.4. Find the probability that a sample of 58 values from this population will have a mean between 52.6 and 63.8.Enter your answers as numbers accurate to 4 decimal places.
average number of pounds of meat that a person consumes per year is 218pounds. Assume that the standard deviation is 26 pounds and the distribution is approximately normal. 1- Find the probability that a person selected at random consumes less than 224 pounds per year 2-1f a sample of 50 individuals is selected find the probability that the mean of the sample will be less than 224 pounds per year
An electrical firm manufactures incandescent light bulbs that have a length of life (in hours) that is normally distributed. If the mean and standard deviation length of life of all lightbulbs produced are 1250 hours and 300 hours respectively, find the probability that a randomly selected bulb will last less than 1100 hours. Do NOT round off until you arrive at the FINAL ANSWER. Round off final answer to 3 decimal places example: (1.234)
How do you do part c?

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