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 2,4D 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
a. What is the
b. What is the probability that the size of a single droplet is between 1000 and 1500 µm?
c. How would you characterize the smallest 2% of all droplets?
d. If the sizes of five independently selected droplets are measured, what is the probability that exactly two of them exceed 1500 µm?
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Chapter 4 Solutions
Probability and Statistics for Engineering and the Sciences
- Patients with rheumatoid arthritis are at a greater risk of developing osteoporosis. The reasons are not well understood due to the difficulty in qualitatively assessing bone metabolism and mineral content. A researcher measures human calcitonin (HCT) levels in men with rheumatoid arthritis. The researcher randomly selects 43 men with rheumatoid arthritis and measured the mean HCT level of 33.8 pg/mL. Assume that HCT for individuals with rheumatoid arthritis follows a normal distribution with standard deviation σ = 23.6 pg/mL. Determine the margin of error for HCT levels.arrow_forwardSpray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. In an academic paper investigating the effects of herbicide formulation on spray atomization, a figure in the paper suggested the normal distribution with a mean of 1050 μm and a standard deviation of 150 um was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. (Round your answers to 4 decimal places, if needed.) [Note: When needed, correct answers use the provided z-table on eClass, but Excel can also be appropriately used to simulate the table.] (a) What is the probability that the size of a single droplet is less than 1380 pm? At least 915 pm? Less than 1380 um: At least 915 pm: (b) What is the probability that the size of a single droplet is between 915 and 1380 µm? (c) How would you characterize the smallest 1% of all droplets? The smallest 1% of droplets…arrow_forwardIn comparing the hexokinase method with the glucose oxidase method for measuring glucose it was found that the mean and standard deviation for the hexokinase method was 120 mg/dl and 4.8 mg/dl respectively. The mean and standard deviation for the glucose oxidase method were 100 mg/dl and 4.0 mg/dl. Graphical analysis, however, seemed to indicate that there was not more variation present in the hexokinase method. Which evaluation method really exhibited the greatest variability? (A) Hexokinase method (C) Neither (B) Glucose oxidase method (D) Cannot be determinedarrow_forward
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- Patients with rheumatoid arthritis are at a greater risk of developing osteoporosis. The reasons are not well understood due to the difficulty in qualitatively assessing bone metabolism and mineral content. A researcher measures human calcitonin (HCT) levels in men with rheumatoidarthritis. The researcher randomly selects 43 men with rheumatoid arthritis and measured the mean HCT level of 33.8 pg/mL. Assume that HCT for individuals with rheumatoid arthritis follows a normal distribution with standard deviation σ = 23.6 pg/mL. 6. Describe the effect on your confidence interval if you increase or decrease the samplesizearrow_forwardPatients with rheumatoid arthritis are at a greater risk of developing osteoporosis. The reasons are not well understood due to the difficulty in qualitatively assessing bone metabolism and mineral content. A researcher measures human calcitonin (HCT) levels in men with rheumatoidarthritis. The researcher randomly selects 43 men with rheumatoid arthritis and measured the mean HCT level of 33.8 pg/mL. Assume that HCT for individuals with rheumatoid arthritis follows a normal distribution with standard deviation σ = 23.6 pg/mL.1. For a 95% level of confidence what is the appropriate critical value Z*that needs to beused to calculate the margin of error? Determine the value of the critical value using a table or preferred technological tool.arrow_forwardPatients with rheumatoid arthritis are at a greater risk of developing osteoporosis. The reasons are not well understood due to the difficulty in qualitatively assessing bone metabolism and mineral content. A researcher measures human calcitonin (HCT) levels in men with rheumatoidarthritis. The researcher randomly selects 43 men with rheumatoid arthritis and measured the mean HCT level of 33.8 pg/mL. Assume that HCT for individuals with rheumatoid arthritis follows a normal distribution with standard deviation σ = 23.6 pg/mL. 7. Describe a situation where a researcher would want to use a larger confidence level than 95% and a situation where a smaller confidence level would be preferred.arrow_forward
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