Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.63 and standard deviation 0.83.In USE SALT(a) If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.63 and 3.00? (Round your answersto four decimal places.)at most 3.00between 2.63 and 3.00(b) How large a sample size would be required to ensure that the first probability in part (a) is at least 0.99? (Round your answer up to the nearest whole number.)specimens

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Answered: ppose the sediment density (g/cm) of a…

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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NORMAL DISTRIBUTION 1.) It is measured that the average time vehicles travel from San Marino to San Vicente is 84.5 minutes with a standard deviation of 4.2 minutes. Find the probability that a vehicle from San Marino will arrive in San Vicente with a travel time between 58.6 minutes to 72.3 minutes. (Draw a box around your final answer.)
Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 260 lbs? Round your answer to three decimal places, eg 0.192.
A population of values has a normal distribution with μ=74.1μ=74.1 and σ=17.3σ=17.3. A random sample of size n=73n=73 is drawn. Find the probability that a sample of size n=73n=73 is randomly selected with a mean greater than 78.4. Round your answer to four decimal places. P(M>78.4)=P(M>78.4)=
Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 252 lbs? Round your answer to three decimal places, eg 0.192.
Previous question The weight of an energy bar is approximately normally distributed with a mean of 42.35 grams with a standard deviation of 0.035 gram. Complete parts (a) through (e) below. c. If a sample of 25 energy bars is selected, what is the probability that the sample mean weight is less than 42.325 grams? 0.0001 (Round to three decimal places as needed.) d. Explain the difference in the results of (a) and (c). Part (a) refers to an individual bar, which can be thought of as a sample with sample size . Therefore, the standard eror of the mean for an individual bar is times the standard error of the sample in (c sample size 25. This leads to a probability in part (a) that is V the probability in part (c). (Type integers or decimals. Do not round.) e. Explain the difference in the results of (b) and (c). The sample size in (c) is greater than the sample size in (b), so the standard error of the mean (or the standard deviation of the sampling distribution) in (c) is than in (b). As…
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -2.857°C and 0.928°C. P(- 2.857 Next Question M hp
F
Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with μ=83.1 ft and σ=34.4You intend to measure a random sample of n=164 trees. What is the mean of the distribution of sample means?μ¯x=___ft. What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)?(Report answer accurate to 2 decimal places.)σ¯x=____ft.
A certain brand of automobile tire has a life expectancy that is normally distributed with a mean of µ= 20000 miles and standard deviation of o= 2500miles. What is the probability that a randomly chosen tire will last for 20000 miles or more? Select one: a. 0.1047 O b. 0.5 O c. 0.1784 O d. 0.1064
A-Find the z value such that 93% of the standard normal curve lies between −z and z. (Round your answer to two decimal places.) z = B-Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.7 millimeters (mm) and a standard deviation of 1.0 mm. For a randomly found shard, find the following probabilities. (Round your answers to four decimal places.) (a) the thickness is less than 3.0 mm(b) the thickness is more than 7.0 mm(c) the thickness is between 3.0 mm and 7.0 mm
A population of values has a normal distribution with µ = 243.2 and o = 7.8. You intend to draw a random sample of size n = 86. What is the standard deviation of the distribution of sample means (i.e. the standard error)? (Report answer accurate to 2 decimal places.) OT What is the mean of the distribution of sample means? Hã =
The average precipitation for the 8 months of the year 13.5 inches with a standard deviation of 2,2 inches. Assume that the average precipitation is normally distributed

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