A population of values has a normal distribution with u = 67.6 and o = 57.9. You intend to draw arandom sample of size n = 172.Find the probability that a single randomly selected value is greater than 57.9.P(X> 57.9) =Find the probability that a sample of size m = 172 is randomly selected with a mean greater than57.9.P(M > 57.9) =Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scoresor z-scores rounded to 3 decimal places are accepted.

Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

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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Economics find that 22% of EU S adults believe gas prices will increase during the next year. Consider a random sample of 425 US adults. find the probability that the sample proportion of dolts who believe gas prices will increase is within .02 of the population proportion verify that the normal distribution approximation is reasonable for this problem
ANSWER IN T-DISTRIBUTION. A group of mathematics teachers wants to estimate the average computational skills of the students in senior high school. the standard deviation from the previous study is 5. how large must the sample be selected if they want to have 95% confidence of finding whether the true mean differs from the sample mean by 3.
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 175.2-cm and a standard deviation of 1.8-cm. For shipment, 20 steel rods are bundled together.Find the probability that the average length of a randomly selected bundle of steel rods is greater than 176.2-cm.P(M > 176.2-cm) = ________Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
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.
USE 3 DECIMAL A producer claims that his potato chips weight has a normal distribution at least 150 grams. The manager tries to test day shift production weight is heavier that night shift. Because of the complaints of the customers, quality control department select randomly 19 bags from the day shift and find the mean as 146 grams and variance 9 grams and randomly selected 21 bags from the night shift and find the mean as 148 grams and variance 8 grams. If manager want to test the claim as night shift mean weight of the product is greater than that of day shift at 1% level of significance. Calculate the test statistics. (H1: m night shift > m day shift).
An Intelligence test score for adults is normally distributed with a mean of 100 and population standard deviation of 15. What is the probability we could select a sample of 64 adults and find that the mean of this sample is between 98 and 103? (answer rounded to 2d.ps)
Español A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.2 ounces of coffee per cup. BIG has good reason to believe that the mean amount of coffee dispensed by the machine, u, is greater than 7.2 ounces, and plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 7.6 ounces and that the standard deviation is 0.5 ounces. Based on this information, complete the parts below. (a) What are the null hypothesis H. and the alternative hypothesis H, that should be used for the test? Ho :0 O
Statisticsghu
A population of values has a normal distribution with 116.3 and a 60.6. You intend to draw a random sample of size n = 78. Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is greater than 114.2. PIX> 114.2) - Find the probability that a sample of size n=78 is randomly selected with a mean greater than 114.2. P114.2) -
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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