An elevator has a placard stating that the maximum capacity is 4300 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4300/28= 154 pounds Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 28lb.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Q: A racing car is one of the many toys manufactured by Mack Corporation. The assembly times for this…

A: Mean()=55standard deviation()=4The company closes at 5 P.M every day

Q: According to the Current Results website, the state of California has a mean annual rainfall of 23…

A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…

Q: Assume that the heights of men are normally distributed with a mean of 71.3 inches and a standard…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: A survey has found out that a family generates an average of 17.2 pounds of garbage per week. Assume…

A: The mean is μ=17.2 and the standard deviation is σ=2.5 The population size is n=55 Therefore the…

Q: . A cannery processes sardines. Sardines have a mean length 4.54 inches with a standard deviation…

A: Solution: Let X be the length of sardines. From the given information, X has a mean µ=4.54 inches…

Q: Assume that the heights of women are normaly distributed with a mean of 63.6 inches and a standard…

A: Given, Mean = 63.6 Standard deviation = 2.5 Sample size = 100 The objective is to find the…

Q: A gym class is taking a fitness test. The gym teacher is recording how many sit-ups the participants…

Q: The population mean for the average weigh of 12 year old children is 102 pounds and the population…

A: Solution: Let X be the weight of 12 year old children. From the given information, µ=102 pounds,…

Q: Suppose the mean height in inches of all 9th grade students at one high school is estimated.

A: Population standard deviation, σ =3 inches Sample size n=6

Q: The salaries of elementary echool teachere are normally dietributed with a mean of $32,000 and a…

Q: Find the probability that a sample of 18 has a sample mean below 32. The population mean is 24 and…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: The length of a fully grown hibiscus plants is normally distributed and has a mean of 35cm and a…

A: Given that,Mean(μ)=35standard deviation(σ)=4 The random variable is length of fully grown…

Q: You want to determine the probability that when seven consumers are randomly selected, exactly two…

A: 1. n = 7, x = 2, p = 0.45, q = 0.552. Mean, μ = 3.15 Standard Deviation, σ = 1.31623. P(X = 2) =…

Q: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: During a wisdom teeth removal procedure, 1, 2, 3, or 4 wisdom teeth are removed, depending on the…

A: Central limit theorem As per the Central limit theorem, the sampling distribution of sample mean…

Q: The mean score for freshmen on an aptitude test at a certain college is 540, with a standard…

Q: Use a formula to find the standard deviation of the sample 1, 4, 5, 6.

A: We have given that, The data set of the sample is, 1, 4, 5, 6 Then, We will find the standard…

Q: The length of a fully grown hibiscus plant is normally distributed and has a mean of 35cm and a…

A: Given that, The random variable X is length of fully grown hibiscus plant. It is normally…

Q: Assume the heights of women are normally distributed with a mean of 63.6 inches and a standard…

A: Given data Mean (µ) = 63.6 inches Standard Deviation(σ) = 2.5 inches Sample size (n)= 75 probability…

Q: Suppose that heights of women in Utah are normally distributed with a mean of 74 inches and a…

Q: In a departamental examination in statistics given to 500 students, the mean score was 75 with a…

A: Any descriptive value calculated from a population is calleda. statisticsb. parameterc. meand.…

Q: A concierge is interested in how long it takes to bring passengers to the airport and then return to…

A: (a) First we calculate the mean; The table of calculations is provided below; No. x (x-x¯)2 1…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that, X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: Assume that the heights of men are normally distributed with a mean of 69.5 inches and a standard…

A: It is given that Mean, μ = 69.5 Standard deviation, σ = 2.1 Sample size, n = 36

Q: The average person uses 130 gallons of water daily. If the standard deviation is 35 gallons , find…

A: Given that, Mean = 130 Standard deviation = 35 Sample size = 25

Q: A dice is rolled three times a. Find the probability of getting exactly 2 fours b. Find the mean,…

A: Let X be a random variable from Binomial distribution with parameter n and p. Mean = np Variance=…

Q: One in ten adults in a city visited a doctor last month. If a sample of 6 adults is selected…

A: Given, One in 10 adults visited a doctor => p = 1/10 = 0.1 Sample size, n = 6 Let X is the…

Q: The masses of honeydews are normally distributed with mean 1.0 kg and standard deviation 2kg. The…

A: Given Let X denotes masses of honeydews and You denotes masses of rock melon It is given that X ~…

Q: d the mean and standard deviation of the number of red-headed Scots in a randomly selected group of…

A: Let X be the random variable from binomial distribution with probability of red hair for Scottish…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: Solution-: Given: μ=196,σ=22,n=50 Let, X= be the random variable We want to find P(the mean of…

Q: The capacity of an elevator is 15 people or 2400 pounds. The capacity will be exceeded if 15 people…

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

Q: Assume that an individual's golf scores are normally distributed with a mean of 90.4 and a standard…

A: Normal Distribution u = 90.4 n = 5.3 p(87 < x < 95) = ?

Q: The average score of all golfers for a particular course has a mean of 72 and a standard deviation…

A: We want to find the probability by using standard normal distribution table

Q: Solve the problem. Assume that male Siberian huskies' weights are normally distributed with a mean…

Q: Assume that the heights women are normally distributed with a mean of 63.6 inches and a standard…

Question

An elevator has a placard stating that the maximum capacity is 4300 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4300/28= 154 pounds Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 28lb.
a. Find the probability that 1 randomly selected adult male has a weight greater than 154 lb.
b. Find the probability that a sample of 28 randomly selected adult males has a mean weight greater than 154 lb.
c. What do you conclude about the safety of this elevator?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution