An article in the Annals of Botany investigated whether the stem diameters of the dicot sunflower would change dependingon whether the plant was left to sway freely in the wind or was artificially supported. Suppose that the unsupported stemdiameters at the base of a particular species of sunflower plant have a normal distribution with an average diameter of35 millimeters (mm) and a standard deviation of 3 mm.n USE SALT(a) What is the probability that a sunflower plant will have a basal diameter of more than 38 mm? (Round your answer tofour decimal places.)(b) If two sunflower plants are randomly selected, what is the probability that both plants will have a basal diameter ofmore than 38 mm? (Round your answer to four decimal places.)(c) Within what limits (in mm) would you expect the basal diameters to lie, with probability 0.95? (Round your answersto two decimal places.)lower limitmmupper limitmm(d) What diameter (in mm) represents the 60th percentile of the distribution of diameters? (Round your answer to twodecimal places.)mm

We have given that Mean μ = 35 Standard deviation σ = 3 Z-score, z = (x – μ) / σ Note: According to…

Answered: An article in the Annals of Botany…

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 elevator has a placard stating that the maximum capacity is 3900 lb-26 passengers. So, 26 adult male com passengers can have a mean weight of up to 3900/26= 150 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 150 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 150 lb. c. What do you conclude about the safety of this elevator? *** a. The probability that 1 randomly selected adult male has a weight greater than 150 lb is 0.5319 (Round to four decimal places as needed.)
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 136 lb and a standard deviation of 34.9 lb a. If a pilot is randomly selected find the probability that his weight is between 130 lb and 191 lb.
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 129 lb and a standard deviation of 27.3 lb. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 181 lb. The probability is approximately nothing
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 150 lb and a standard deviation of 34.3 lb. If a pilot is randomly selected, find the probability that his weight is between 140 lb and 191lb. . If 39different pilots are randomly selected, find the probability that their mean weight is between 140lb and 191 lb.
An elevator has a placard stating that the maximum capacity is 4400 lb-29 passengers. So, 29 adult male passengers can have a mean weight of up to 4400/29 = 152 pounds. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 29 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 152 lb is ☐ (Round to four decimal places as needed.)
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
According to one study, the amount of time a customer spends shopping in a grocery store is normally distributed with a mean of 45 minutes and a standard deviation of 12 minutes. Choose one: The amount of time a customer spends shopping is a discrete random variable. The amount of time a customer spends shopping is a continuous random variable.
c. Vehicle speeds at a highway location have a normal distribution with mean u = 65 mph and standard deviation o = 5 mph. Find the probability that a randomly selected vehicle speed is greater than 73 mph.
An elevator has a placard stating that the maximum capacity is 3800 lb—26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26=146 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 146 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 lb. c. What do you conclude about the safety of this elevator?
An elevator has a placard stating that the maximum capacity is 4100 lb-27 passengers. So, 27 adult male passengers can have a mean weight of up to 4100/27= 152 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? Round to four decimal places as needed
The photoresist thickness of wafers in semiconductor manufacturing has a mean of 10.6 micrometers and a standard deviation of 1.3 micrometers. An engineer takes a sample of 50 wafers once a week and calculates the mean thickness of these wafers. If the mean of this sample is either less than 10.41 micrometers or greater than 10.79 micrometers, the engineer will conclude that the machine needs an adjustment. The probability that, based on a sample of 50 wafers, the engineer will conclude that the machine needs an adjustment is: O 0.6970 O 0.1091 O 0.3030 O 0.2522 O 0.1506
A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5 centimeteres. Question: If one part is randomy selected, find the probability that the part is less than 19.3 centimeters.

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