If the average yield of adunum of yellow corn is800 kg, with a standarddeviation of 40 kg, andassuming that theamount of the cropfollows a normaldistribution, theprobability that a plantgives a crop betweenkg(834 and 778) is :Notethat, P(Z < 0.33) = 0.6293,P(Z < 0.85) = 0.8023 P(Z <0.55) = 0.70880.5111 (B) 0.16610.7118c) 0.3411

Given that : X follow a normal distribution with mean (μ) 800 kg and standard deviation (? ) 40 kg.…

Answered: If the average yield of a dunum of…

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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An agronomist randomly selected 20 matured calamansi trees of one variety and have a mean height of 10.8ft with standard dev of 1.25ft, while another 12 randomly selected calamansi trees of another variety have a mean height of 9.6ft with standard dev of 1.45ft. Test whether the difference of 2 sample means is significant at α = 5%.
An electrical engineer wishes to determine if, among two specific municipal buildings in town, Building “North” and Building “South”, whether the tensile strength of pipes (in psi) is not the same in each of these two buildings. A sample of pipes was chosen at random from both Building “North” and Building “South”, respectively. Using α = 0.05, which of the following statistical test, or parameter, would be best for determining whether tensile strength of pipes (in psi) is not the same in each of these two buildings? (Assume all statistical assumptions met.) a) Binomial Distribution b) Population Difference in Means (i.e., Unpaired Data) c) The Chi-Squared Test of Independence d) Population Mean Difference (i.e., Paired Data)
With α = .01, the two-tailed critical region for a t test using a sample of n = 16 subjects would have boundaries of
Using all 1991 birth records in the computerized national birth certificate registry compiled by the National Center for Health Statistics (NCHS), statisticians Traci Clemons and Marcello Pagano found that the birth weights of babies in the United States are not symmetric ("Are babies normal?" The American Statistician, Nov 1999, 53:4). However, they also found that when infants born outside of the "typical" 37-43 weeks and infants born to mothers with a history of diabetes are excluded, the birth weights of the remaining infants do follow a Normal model with mean μ = 3432 g and standard deviation σ = 482 g. The following questions refer to infants born from 37 to 43 weeks whose mothers did not have a history of diabetes.
Using all 1991 birth records in the computerized national birth certificate registry compiled by the National Center for Health Statistics (NCHS), statisticians Traci Clemons and Marcello Pagano found that the birth weights of babies in the United States are not symmetric (\"Are babies normal?\" The American Statistician, Nov 1999, 53:4). However, they also found that when infants born outside of the \"typical\" 37-43 weeks and infants born to mothers with a history of diabetes are excluded, the birth weights of the remaining infants do follow a Normal model with mean μ = 3432 g and standard deviation σ = 482 g. The following questions refer to infants born from 37 to 43 weeks whose mothers did not have a history of diabetes. Compute the z-score of an infant who weighs 3762 g. (Round your answer to at least two decimal places.) Approximately what fraction of infants would you expect to have birth weights between 2890 g and 3410 g? (Express your answer as a decimal, not a percent, and…
Using all 1991 birth records in the computerized national birth certificate registry compiled by the National Center for Health Statistics (NCHS), statisticians Traci Clemons and Marcello Pagano found that the birth weights of babies in the United States are not symmetric ("Are babies normal?" The American Statistician, Nov 1999, 53:4). However, they also found that when infants born outside of the "typical" 37-43 weeks and infants born to mothers with a history of diabetes are excluded, the birth weights of the remaining infants do follow a Normal model with mean μ = 3402 g and standard deviation σ = 492 g. Let X be the weight of a randomly selected infant born from 37 to 43 weeks whose mother did not have a history of diabetes. What is the distribution of X? X ~ N (,) Please show the following answers to 4 decimal places. If a healthy infant is randomly chosen, find the probability that the birth weight is below 3156 g. If a healthy infant is randomly chosen, find the…
Using all 1991 birth records in the computerized national birth certificate registry compiled by the National Center for Health Statistics (NCHS), statisticians Traci Clemons and Marcello Pagano found that the birth weights of babies in the United States are not symmetric ("Are babies normal?" The American Statistician, Nov 1999, 53:4). However, they also found that when infants born outside of the "typical" 37-43 weeks and infants born to mothers with a history of diabetes are excluded, the birth weights of the remaining infants do follow a Normal model with mean μ = 3432 g and standard deviation σ = 482 g. The following questions refer to infants born from 37 to 43 weeks whose mothers did not have a history of diabetes.Compute the z-score of an infant who weighs 2903 g. (Round your answer to two decimal places.)−1.10Correct Approximately what fraction of infants would you expect to have birth weights between 3060 g and 4410 g? (Express your answer as a decimal, not a percent, and…
A researcher is concerned that his new antihypertensive medication may be causing insomnia in some of his patients. Suppose he gathers an SRS of 65 patients treated with the study drug with a sample average of 6.6 hours of sleep and a σ=1.1. Assuming that insomnia can be quantified as an average of 4.5 hours of sleep, can we determine with 95% confidence that his drug avoids diagnosis of insomnia as a side-effect?
With a = .01, the two-tailed critical region for a t test using a sample of n = 16 subjects would have boundaries of ?
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In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufactured. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether there is no significant difference between the two means using a two-tailed with a=0.01
A typical bag of rice weighs 67.5 pounds. A consumer suspects and claims that the mean weight of all bags of rice sold in a local public market is less than the mean weight of all bags of rice sold in a grocery store. To validate this claim, random samples of 12 showed 67.035 pounds (stdev = 1.557 lbs) and 14 bags of rice with mean 66.9607 pounds (stdev = 2.112 lbs) taken from a local market and a grocery store, respectively. Assume that the distributions of both populations are approximately normal, and the population standard deviations are not equal. At alpha = 0.05, is there sufficient evidence to support the consumer’s claim?

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