Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.69 and standard deviation 0.86. 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 2.69 and 3.00? (Round your answers to four decimal places.) at most 3.00 between 2.69 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.) 35 x specimens

Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.69 and standard deviation 0.86. 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 2.69 and 3.00? (Round your answers to four decimal places.) at most 3.00 between 2.69 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.) 35 x specimens

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find the 87th percentile.
If the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1. The probability that the variable takes a value less than -0.9 or greater than 0.5 is: Select one: P(Z < -0.9 or Z > 0.5) = 0.5074 P(Z < -0.9 or Z > 0.5) = 0.1915 P(Z < -0.9 or Z > 0.5) = 0.3159 P(Z < -0.9 or Z > 0.5) = 0.4926
If the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1. The probability that the variable takes a value less than 0.57 or greater than 1.05 is: Select one: P(Z < 0.57 or Z > 1.05) = 0.4312 P(Z < 0.57 or Z > 1.05) = 0.5688 P(Z < 0.57 or Z > 1.05) = 0.1375 P(Z < 0.57 or Z > 1.05) = 0.8625
A random sample is obtained from a normal population with a mean of u=95 and a standard deviation of o=40. The sample mean is M=86. a.is the a representative sample mean or an extreme value for a sample of n=16 scores?
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.1 kg and a standard deviation of o=4.9 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.) -C
Assume that the readings at freezing on a batch 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 0.609°C and 2.408°C. P(0.609 < Z < 2.408) =
X is a normally distributed random variable with a mean of 5 and a standard deviation of 2. For which value of a is P(X > a) = 0.6293? What is a?
A population has a mean of u=30 and a standard deviation of o=8. If a population distribution is normal, what is the probability of obtaining a sample mean greater than M=34 for a sample of N=4?
Assume that the readings at freezing on a batch 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 3.191°C. P(2.857 < Z < 3.191) =
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of O°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 0.346°C and 1.84°C. P(0.346 < Z < 1.84)
Assume that the body mass index (BMI) of all American young women follows a Normal distribution with standard deviation σ = 7.5. How large a sample would be needed to estimate the mean BMI μ in this population to within ±1 with 95% confidence? (Enter your answer as a whole number.)
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 88 and standard deviation σ = 21. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 140 (borderline diabetes starts at 140)