Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. A researcher is interested in the effects of herbicide formulation on spray atomization. The researcher believes a normal distribution with mean 1050 µm and standard deviation 150 µm is a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. (a) What is the probability that the size of a single droplet is less than 1485 µm? Greater than 1000 µm? (Round your answers to four decimal places.) less than 1485 µm greater than 1000 µm (b) What is the probability that the size of a single droplet is between 1000 and 1485 µm? (Round your answer to four decimal places.) (c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The smallest 2% of droplets are those smaller than µm in size. (d) If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1485 µm? Hint: See Binomial Distribution for Lesson 6. (Round your answer to four decimal places.)
a) The probability that the size of a single droplet is less than 1485 µm is
P(X < 1485) = P(Z < (1485-1050)/150) = P(Z < 2.9) = 0.99813
The probability that the size of a single droplet is greater than 1000 µm is
P(X > 1000) = P(Z > (1000-1050)/150) = P(Z >-0.3333) = 0.63056
b) The probability that the size of a single droplet is between 1000 and 1485 µm is
P(1000 <X< 1485) = P( (1000-1050)/150 < Z < (1485-1050)/150) = P(-0.3333 < Z < 2.9) = P(Z < 2.9) - P(Z <-0.3333) = 0.99813 - 0.36945 = 0.62868
c) The smallest 2% of all droplets is X = mean - Zalpha SD = 1050 -2.054 *150 = 741.9
d) Given n = 5, The probability that the size of a single droplet is less than 1485 µm is 0.99813
The probability that the size of a single droplet is greater than 1485 µm is 1 - 0.99813 = 0.00187
The probability that at least one exceeds 1485 µm is
Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between...
Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"† investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 µm and standard deviation 150 µm was a reasonable model for droplet size for water (the "control treatment") sprayed through a...
Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"† investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 µm and standard deviation 150 µm was a reasonable model for droplet size for water (the "control treatment") sprayed through a...
Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"t investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 pm and standard deviation 150 um was a reasonable model for droplet size for water (the "control treatment") sprayed through a...
Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"+ investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 um and standard deviation 150 um was a reasonable model for droplet size for water (the "control treatment") sprayed through a...
Spray drift is a constant concern for pesticide applicators and agricultural procedures. The inverse relationship between droplet size and drift potential is well known. The paper “Effects of 2,4- D Formulation and Quinclorac on Spray Droplet Size and Deposition” (Weed Technology, 2005: 1030-1036) investigated the effects of herbicide formulation on spray atomization. A figure in the paper suggested the normal distribution with mean 1050 µm and standard deviation 150 µm was a reasonable model for droplet size for water (the...
Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition" investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 um and standard deviation 150 um was a reasonable model for droplet size for water (the "control treatment") sprayed through a...
Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper Effects of 2,4-D Formulation and Quinclarac on Spray Droplet size and Deposition't investigated the effects of herbicide formulation on spray stomization. A figure in a paper suggested the normal distribution with mean 1050 jim and standard deviation 150 um was a reasonable model for droplet size for water (the "control treatment") sprayed through a...
Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition't investigated the effects of herbicide formulation on spray atomization, in a paper suggested the normal distribution with mean 1050 um and standard deviation 150 um was a reasonable model for droplet size for water (the "control treat sprayed through a 760 ml/min nozzle (a)...
Will rate!! Spray drilt is a censtant cancern for pesticide apaliceters and agricubural producers. The ne betusen droplet sue and drift potential s well knewn. A researcher is etereshed in the effects of harcbicide formulstion an spray atomization. The researcher believes a normal distribution with meas 1050 pm and standard deviatios 150 pm a reasnable madel far draplet sine for water (the "cantral treatment') sprayed hrough a760 miUnin ocele. (a) What is the probab ity that the i re of...
(a) What is the probability that the size of a single droplet is less than 1410 um? At least 900 um? (Round your answers to four decimal places.) less than 1410 um at least 900 pm (b) What is the probability that the size of a single droplet is between 900 and 1410 pm? (Round your answer to four decimal places.) (C) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The...
> B) & A) incorrect, because z > -0.333 from the Z- table it is = 0.3707
Akaram Tue, Mar 29, 2022 9:08 PM