The height of all 3-year-old females is approximately normal with a mean of 38.72 inches and a standard deviation of 3.17 inches. What is the probability that in a sample of ten 3-year-old females, the mean height is greater than 40 inches? A) 0.3432 B) 0.8992 C) 0.2422 D) 0.5066 E) 0.1008

The height of all 3-year-old females is approximately normal with a mean of 38.72 inches and a standard deviation of 3.17 inches. What is the probability that in a sample of ten 3-year-old females, the mean height is greater than 40 inches? A) 0.3432 B) 0.8992 C) 0.2422 D) 0.5066 E) 0.1008

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A study was done about violence against prostitutes and the symptoms of the posttraumatic stress…

Q: The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000…

A: Solution: Given information: μ= $17803 Population mean σ=$2399 Population standard deviation.

Q: The probability that Mugdho loses an armwrestling match against Snigdho is 40.0%. Let's say, there's…

Q: Given a standardized normal distribution , what is the probability that (A) Z is less than 1.57?…

A: Given, Standard normal distribution Z=x-μσ where, μ=0 and σ=1

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 69…

A: Solution:The empirical rule for any normal distribution is given below.68% of the observations fall…

Q: The probability that Mugdho loses an armwrestling match against Snigdho is 30.0%. Let's say, there's…

A: Given information: The probability that Mugdho loses an armwrestling match against is 30%. There are…

Q: The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000…

Q: gallons. a. What is the probability that someone consumed more than 37 gallons of bottled water? b.…

A: It is given thatMean, μ = 32.3Standard deviation, σ = 10Z-Score, Z = ( X - μ )/σwhere, Z be the…

Q: Riana Miren and Trinh are 40 and 57 years old, respectively. Based on a normal distribution with…

A: It is given that Mean, μ = 49.3 Standard deviation, σ = 11.8 Z-Score, Z = ( X-μ )/σ

Q: The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000…

A: given μ=16872σ =2913

Q: Toby’s Trucking Company determined that the distance traveled per truck per year is normally…

A: Given that: Population mean, μ=50000 Population standard deviation, σ=12000

Q: A group of 3,800 student take a math test. The scores arenormally distributed with a mean of 68 and…

A: The total number of students, N who took the math test is 3800. Consider X be a random variable…

Q: In 2008, the per capita consumption of soft drinks in Country A was reported to be 19.11 gallons.…

A: GivenMean(μ)=19.11standard deviation(σ)=5

Q: New York City is the most expensive city in the United States for lodging. The mean hotel room rate…

A: Given that μ = 204 , σ =55

Q: Given a normal distribution with µ = 100 and o = 10 what is the probability that (A) X > 75? Answer:…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: The mean value of land and building per acre from a sample of farms is $1200 with a standard…

A: Determine the number of additional farms that would be expected to have land and building values…

Q: The College Board National Office recently reported that in 2011-2012, the547,038 high school…

A: a) The probability that a high school junior who takes the test will score at least 610 on the…

Q: Suppose that 100,000 recent grads have starting salaries which are normally distributed with a mean…

A: Given that μ=120,000σ=20,000 b) Consider the probability that the salary above $131,200 is,…

Q: The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000…

Q: Scores on each section of the SAT exam are normally distributed with a mean of 485 and a standard…

A: Let X denote the Scores on each section of the SAT exam are normally distributed with a mean of…

Q: Total enrollment in the Kalamazoo Public Schools have a mean and standard deviation of 11,727.4 and…

A: Total enrollment in the Kalamazoo Public Schools have a mean and standard deviation of 11,727.4 and…

Q: The annual per capita consumption of bottled water was 31.1 gallons. Assume that the per capita…

A: Let X denote the consumption of bottled water. Given that X follows N(mean = 31.1, SD = 11), then Z…

Q: Gestation length (in days) of a dog forms a normally distributed data set with mean 66 and standard…

Q: Assume the salaries of elementary school teachers in the US are normally distributed with a mean of…

A: We bave to find given probability.

Q: A recent study found that 57% of workers between the ages of 20-29 cash out their retirement…

A: Given, Probability of success = p = 0.57 q = 1-p = 1-0.57 = 0.43 Sample size = n = 14 Here we use…

Q: The average salary of a registered nurse in a certain state is 73 thousand with a standard deviation…

A: Solution: Given information: n=41 Sample size μ=73 POpulation mean σ= 14.2 Population standard…

Q: Gestation length (in days) of a dog forms a normally distributed data set with mean 58.7 and…

A: Given: X~N58.7,1.592 Also if, X~μ,σ2Z=X-μσ~N0,1

Q: IGH of taxpayers was $15,119. Assume that the standard deviation is o = $2382. Use z-table. a. What…

A: Here use normal distribution table for finding probability from z score

Q: Assume the credit card balances of younger college educated employed persons are normally…

Q: he quality control manager at a light bulb factory needs to estimate the mean life of a large…

A: Given : Sample mean , x¯ = 270 hours sample size, n = 49 light bulbs Population standard deviation ,…

Q: 3. Thermometers in a freezer are normally distributed with a mean of 0 degrees and a standard…

A: Given that the thermometers in a freezer are normally distributed with a mean of degrees and a…

Q: The annual per capita consumption of bottled water was 33.5 gallons. Assume that the per capita…

A: "Since you have posted a question with multiple subparts we will provide solutions only to the first…

Q: The probability that Mugdho loses an armwrestling match against Snigdho is 60.0%. Let's say, there's…

Q: 国 The annual per capita consumption of bottled water was 30.5 gallons. Assume that the per capita…

A: Given Data : Population Mean,μ = 30.5 Population Standard Deviation,σ = 13

Q: ing above one of the data points in th

A: mean = 9 standard deviation = 2.5 to find P(X>11)

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Let us denote: X=time to travel between University of Santo Tomas and Rizal ParkGiven that X follows…

Q: According to the Niesien Company the mean number of TV sets in a US household in 2013 was 2.24…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: The average smartphone user used 606 megabytes of data per month. Assume the standard deviation of…

A: Given Data Population Mean,μ = 606 Population Standard Deviation,σ = 240 sample…

Q: A Nielsen Company report states that the mean number of TV sets in a U.S. household is 2.24. Assume…

A: Obtain the probability that the number of TV sets is greater than 2 in that household. The…

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Mean()=13standard deviation()=2

Q: Suppose the mean grade for a statistic midterm was 7.5 with Standard Deviation of 10. Assume that…

A: Given that information Suppose the mean grade for a statistic midterm was 75 with Standard…

Question

A) 0.3432

B) 0.8992

C) 0.2422

D) 0.5066

E) 0.1008

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Scores on a standardized exam for 2nd graders are approximately normally distributed with a mean of 72 and a standard deviation of 6. a) b) c)
The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $17,908. Assume that the standard deviation is o = : $2,838. Use z-table. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $195 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals, n = 30 n = 50 п 3D 100 п 3D 400 b. What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals. - Select your answer - v the probability that the sample mean will be within a specified distance of the A larger sample population mean. In the automobile insurance example, the probability of being within ±195 of µ ranges from for a sample of size 30 to for a…
The annual per capita consumption of bottled water was 33.5 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 33.5 and a standard deviation of 12 gallons. The probability that someone consumed more than 34 gallons of bottled water is__. The probability that someone consumed between 30 and 40 gallons of bottled water is ___. The probability that someone consumed less than 30 gallons of bottled water is___.
1. The average number of acres burned by forest and range fires in a large New Mexico county is 4,255 acres per year, with a standard deviation of 744 acres. The distribution of the number of acres burned is normal. a.) What is the probability that between 2,540 and 4,190 acres will be burned in any given year? b.)What number of burnt acres corresponds to the 38th percentile?
For the midterm exam in science of grade 8 students, the mean grade is 82 with standard deviation of 13. A random sample of size 30 will be taken. a. What is the probability that the sample mean is less than 75? b. What is the probability that the sample mean is greater than 90?
According to the bureau of labor statistics the average weekly pay for a U.S production worker was $441.Assume that available data indicate that production worker wages were normally disturbed with a standard deviation of $90 a.What is the probability that a worker earned between $400 and $500 per week? b.How much did a production worker have to earn per week to be in the top 20% of wages earners? c.For a randomly selected production,what is the probability the worker earned less than $250 per week?
Given a Normal Distribution with a population mean test score of 500 and a population standard deviation of 100. A.)For a sample of 81 test takers, calculate the standard error of the mean to 2 decimals. B.)What is the probability a sample of 81 test takers will provide a sample mean test score within 20 points of the population mean?
The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,772. Assume that the standard deviation is o = $2321. Use z-table. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $198 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. n = 30 n = 50 n = 100 n = 400 b. What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals. the A larger sample increases being within +198 of ranges from probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of for a sample of size 30 to for a sample of size 400.
289 221 301 374 336 351 a)what is the standard deviation b) What is the first quartile and third quartile in this sample? c) What is the 43rd percentile of the data
please answer 3 and 5 with step by step intructions.
The WAIS forms a normal distribution with a population mean of 100 and a standard deviation of 15. Calculate or answer the following: a.) The probability of a single person scoring equal to or greater than 120