In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. In addition, there is a weight limit of 2,500 pounds. Assume that the average weight of students, faculty, and staff on campus is 155 pounds, that the standard deviation is 27 pounds, and that the distribution of weights of individuals on campus is approximately normal. Suppose a random sample of 16 persons from the campus will be selected.   (a) What is the mean of the sampling distribution of x? μx =   (b) What is the standard deviation of the sampling distribution of x? σx =   (c) What mean weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,500 pounds? The mean weight of 16 persons needs to be greater than ______ lbs to exceed the weight limit of the elevator

Q: What is the mean of the x sampling distribu- tion? b. What is the standard deviation of the x…

A: In the library on a university campus, there is a sign in the elevator that indicates a limit of 16…

Q: A population has a standard deviation of 25 and a mean of 300. Given a random sample of size 100,…

A:

Q: In examining the invoices issued by a company, an auditor finds that the dollar amounts of invoices…

A:

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: From the given information,   Mean  = 35 Standard deviation = 7.5   The objective is to find the…

Q: what is the probability that the sample mean will be between 350,000 and 365,000?

A: Given that Sample size n = 100 Population mean = 345800 Population SD = 90000

Q: Given a test is normally distributed with a mean of 30 and a standard deviation of 6: What is the…

A: Let's assume X = score in the test.  As given X ~ N ( mean = 30 , standard deviation = 6)  It is…

Q: If x is a normally distributed variable with a mean of 151.7 and a standard deviation of 21.9, what…

A: GivenMean(μ)=151.7standard deviation(σ)=21.9

Q: Assume that the mean number of yearly burglary attempts in Normal, IL is μ=μ= 16, with a standard…

A: Solution: Let X be the number of yearly burglary attempts. From the given information, X follows…

Q: mean of µ = 70 and a standard deviation of σ = 10, what is the probability of obtaining a sample…

A: Given data: A normally distributed population with mean and standard deviation is given as:…

Q: Suppose that the mean and standard deviation of plants height are 130 and 42, respectively, if a…

A:

Q: If x represents a random variable with mean 132 and standard deviation 50, then the standard…

A:

Q: Mrs. Bracken asks a random sample of 500 adults whether they favor giving vouchers to parents of…

A:

Q: Suppose, according to a 1990 demographic report, the average U. S. household spends $90 per day.…

A:

Q: Suppose that during any hour in a large department store, the average number of shoppers is 448,…

A: Given:

Q: the life expectancy of 400 people in a certain geographic region, the mean age at death was 70…

A: Given, μ=70σ=5.1n=50

Q: The proportion of all high school students who watch national news is p = 0.57. A random sample of…

A: Given  p=0.57 n=60

Q: A government agency provides the number of miles that residents of the 75 largest metropolitan areas…

A: The random variable X follows normal distribution. There are two samples of data which are named as…

Q: Suppose that the annual household income in a small Midwestern community is normally distributed…

A: Given : X ~ Nμ, σ mean, μ = $55000 S.D, σ = 4500 a. P(household will have an income between $50000…

Q: he monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard…

A: Let X be the monthly utility bills in a city are normally distributed with mean μ=$100 and standard…

Q: A quality control company was hired to study the length of meter sticks produced by a certain…

A: As per our guidelines we can solve first three subpart and rest can be reposted. Solution-: Given:…

Q: Suppose that the caffeine in one tablespoon of Folgers is normally distributed with a mean of 45 mg…

A:

Q: In a distribution where the mean is 80 and the standard deviation is 3​, find the largest fraction…

A: Given

Q: If the mean is two, the standard deviation is one, and a value for a normally distributed random…

A:

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Given,mean(μ)=35standard deviation(σ)=7.5sample size(n)=50

Q: The annual salary for one particular occupation is normally distributed, with a mean of about…

A:

Q: Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 56…

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

Q: The board of examiners that administers the real estate brokerʹs examination in a certain state…

A: According to the provided information, Mean = 494 Standard deviation = 72

Q: For a population with a mean of 100 and standard deviation of 16, what is the probability that a…

A: The central limit theorem states if the sample size (n) is large (greater than or equal to 30), then…

Q: Compute the value of the test statistic.

A: For class 1, sample size n1 = 15, sample mean = 81.2, sample SD = 3.4 For class 2, sample size n2 =…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Solution: We are given:

Q: For a population with a mean of 45 and a standard deviation of 10, what is the standard error of the…

A: Obtain the value of standard error for the sample of size n=4 scores.   The value of standard…

Q: A small computing center has found that the number of jobs submitted per day to its computers has a…

A: Let X be a random variable such that X: Number of jobs submitted per day to its computers We know,…

Q: For a normal distribution curve with a mean of 15 and a standard deviation of 4, which range of the…

A: Let X be the random variable from normal distribution with mean (μ) = 15  and standard deviation (σ)…

Q: A politician takes an SRS of 75 citizens in a county to see what proportion of citizens sampled are…

A: A politician takes an SRS of 75 citizens in a county to see what proportion of with their standard…

Q: The AAA reports that the average time it takes to respond to an emergency call is 25 minutes. Assume…

A:

Q: The board of examiners that administers the real estate broker’s examination in a certain state…

A: (a)Step-by-step procedure to obtain the passing score using MINITAB:Choose Graph > Probability…

Q: 3- At a computer manufacturing company, the actual size of a particular type of computer chips is…

A: We have to find required sample mean.

Q: ppose the average age of family members is 34 with a standard deviation of 4. If 100 members of the…

A: Given, μ=34σ=4 n=100

Q: The annual salary for one particular occupation is normally​ distributed, with a mean of about…

A: Given : μ = 132000 , σ= 16000 and n= 26

Q: If the sample size is 100 and the population standard deviation is 20, then the standard deviation…

A: Given  True or false question Sample size=100  Population standard deviation=20  We need to…

Q: The time that a shopper spends in the grocery store is normally distributed, with a mean of 45…

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: What is the standard deviation of the commuting time?

A: The standard deviation formula for uniform distribution is, σ=b-a12 The commuting time on a…

Q: Approximately how many of the cartridges in the sample would you expect to be replaced under the…

A: Consider X as a random variable that follows the normal distribution with a mean 4302 and a standard…

Q: Suppose the weights of seventh-graders at a certain school vary according to a Normal distribution,…

A: Given information Sample mean x̅ = 98 Population mean µ = 100 Sample size = 35 Standard deviation =…

Q: The photoresist thickness of wafers in semiconductor manufacturing has a mean of 10.6 micrometers…

A: Let, X=The photoresist thickness of wafers.  Given that X follows a normal distribution with…

Q: If the sample size is 100 and the population standard deviation is 20, then the standard deviation…

A: Standard error:The standard deviation of the sampling distribution of the mean is called standard…

Q: For drivers in the 20-24 age bracket, there is a 34% rate of car accidents in one year (based on…

A: Solution: 1. Let X be the number of car accidents in one year and n be the sample number of people…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Given dataMean = 35Standard deviation = 7.5Sample size (n) = 40probability that the sample mean will…

Q: A candy company claims that 18​%of its plain candies are​ orange, and a sample of 200 such candies…

A: Given: n = 200 and p=0.18 Consider, X be the random variable that represents the number of orange…

Q: Suppose that IQ scores of Grade 11 students of Abuyog Academy is normally distributed with a mean of…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.