A survey has found out that a family generates an average of 17.2 pounds of garbage per week. Assume that the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds.

A survey has found out that a family generates an average of 17.2 pounds of garbage per week. Assume that the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds.

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

Related questions

Q: An economics professor decides to curve the grades of his class. In doing so, he decides to make it…

A: Given data: An economics professor decides to curve the grades of his class. In doing so, he decides…

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: (a) Obtain the probability that pregnancy will last 307 days or longer. The probability that…

Q: In a large section of a statistics class, the points for the final exam are normally distributed,…

A: From the provided information, Mean (µ) = 73 Standard deviation (σ) = 7 Grades are assigned such…

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: Let X be a random variable following normal distribution with mean μ and variance σ2, i.e.,…

Q: he distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4…

A: Solution-: Let, X= The distribution of heights of adult males Given: (inches) We find, P[ he…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the…

A: Solution: Let X be the weights of steers in a herd. From the given information, X follows normal…

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

Q: The math department at a university gives all of the students in a certain math class the same final…

A: Let denote the student score receive in the final exam.The random variable follows a normal…

Q: A data set is formed by recording the sums in 400 rolls of a pair of a dice. A second data set is…

A: Standard deviation:The standard deviation indicates by how much each observation differs from a…

Q: A population has a mean of 200 and a standard deviation of 25. A sample of 64 observations will be…

A: We have to find out given probabiity..

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a…

A: Given information-We have given that adults have IQ scores that are normally distributed.μ= 105σ =…

Q: The mean number of eggs that a person consumes per year is 293.6 pieces. Assume that the standard…

A: The number of egg consume are normally distributed with a mean 293.6 and a standard deviation of…

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

Q: Compute the standard deviation of the sampled proportions if p=.4 and n=500. Round to three places.

A: We want to find standard deviation X~Binomial(n=500,p=0.4)

Q: About 2% of the population has a particular genetic mutation. Suppose 100 people are randomly…

A: Givenp=2%=0.02n=100x~Binomial(n=100,p=0.02)P(X=x)=(nx)(p)x(1-P)n-x ; x=0,1,2...,n

Q: Write out the formula of the standard deviation of a variable called X in a population. Be sure to…

A: 1. Write out the formula of the standard deviation of a variable called X in a population. Be sure…

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 65…

A: The random variable be the speed of a sample of vehicles along a stretch of highway.Mean: miles…

Q: Trucks in a delivery fleet travel a mean of 130 miles per day with a standard deviation of 39 miles…

A: The data on per day mileage of a delivery truck is normally distributed. Population mean, Population…

Q: The weights of college football players are normally distributed with a mean of 193 pounds and a…

A: Mean = 193 Standard deviation = 53

Q: A survey of 21 accountants finds that they spend a mean of $45.00 each week on lunch with a standard…

A: The provided data is,

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.2…

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 65…

A: Given that X~N( μ = 65 , ? = 5 ) μ = 55 , ? = 5

Q: In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test…

A: In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test…

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

Q: The cost of textbooks is normally distributed with a mean of $232. You do not know the population…

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: Solution: Let X be the score. From the given information, X follows normal distribution with mean…

Q: In one town, the number of pounds of leafy greens consumed per person per year has a mean of 10…

A: (1) Standardized z-score: The standardized z-score represents the number of standard deviations…

Q: The mean number of eggs that a person consumes per year is 293.6 pieces. Assume that the standard…

Q: Assume that the heights of American men are normally distributed with a mean of 69.1 inches and a…

A: From the given information we find the solution

Q: The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard…

A: Z= x¯-μσn~N(0,1) n = 36 , x¯ = 98.6 , μ = 98.6 , σ = 0.6

Q: In a large section of a statistics class, the points for the final exam are normally distributed,…

A: Finding the lowest score that would qualify a student for an A grade:The points for the final exam…

Q: The average score of all golfers for a particular course has a mean of 61 and a standard deviation…

A: Mean()=61Standard deviation()=4Sample size(n)=64

Q: A person records the speeds of various cars as they drive past their house. After 100 readings, the…

A: Given,mean(μ)=23.84standard deviation(σ)=3.56

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: The scores on the final exam in a statistics course are close to being normally distributed. The…

A: Normal distribution: It is a continuous probability distribution, that is bell-shaped with lighter…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A: Let X denote the IQ scores of adults. Given that X follows N(mean = 105, SD = 20), then Z = (X -…

Q: A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations be taken.…

A: Given: Population mean μ = 84 Population standard deviation σ = 12 Sample size n = 36

Concept explainers

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.

Question

Video Video

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Use a normal distribution table or a statistical calculator to answer this question. A farm produces 10,000 eggs in a day. The mean mass of an egg is 59 grams. The standard deviation is 5 grams. An egg is "extra-large" if it has a mass between 63 and 69 grams. To the nearest ten eggs, how many extra-large eggs does the farm produce in a day?
The average amount customer spend yearly at a local grocery store is $635.55 . Assume the variable is normally distributed. If the standard deviation is $94.41 find the probability that a randomly selected customer spends between $569.46 and $758.28
Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ between 84 and 116. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 84 and 116 is (Type an integer or decimal rounded to four decimal places as needed.)
The length of songs in the Big Hair playlist of a Statistics professor's mp3 player varies from song to song. This variation can be modeled by the normal distribution, with a mean song length of �=4.3 minutes and a standard deviation of �=0.65 minutes. (Note that a song that has a length of 4.5 minutes is a song that lasts for 4 minutes and 30 seconds.)The professor decides to shuffle the playlist, which means that the mp3 player will randomly pick a song within this particular playlist and play it next.(a) What is the probability that the next song to be played is between 3.9 and 4.85 minutes long? Answer to four decimals. (b) What proportion of all the songs in this playlist are longer than 5 minutes? Use four decimals in your answer. (c) 20% of all the songs in this playlist are at most how long, in minutes? Enter your answer to two decimals. minutes(d) There are 247 songs in the Big Hair playlist. How many of these would you expect to be longer than 5 minutes in length? Use two…
The average salary for a certain profession is $80,000. Assume that the standard deviation of such salaries is $27,500. Consider a random sample of 50 people in this profession and let x represent the mean salary for the sample.
The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the mean steer weight is 1400lbs. Find the probability that the weight of a randomly selected steer is between 1539 and 1679lbs. Round your answer to four decimal places.
Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation g= 15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places as needed.)
According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a standard deviation of $7000. Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn at least $45,000. Round answer to at least 4 decimal places.
The average price of a gallon of bottled water is $1.58 with a standard deviation of $0.35. If the variable is normally distributed, find the probability that a sample of bottled water bought at 25 stores would have a mean price between $1.50 and $1.60. Express your answer as a decimal to four decimal places. Your Answer: FIVE STAR 115% IN x 9% IN/29.5 cm x 24. om 419 sutput 343/ 4クム X4700=Pout
the standard deviation of a set of 12 measurements has a numerical value of 3. If one of the measurements, equal to the mean,is removed from the data set , then the magnitude of the Variance is
Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The prices of photo printers on a website are normally distributed with a mean of $238 and a standard deviation of $67. Random samples of size 33 are drawn from this population and the mean of each sample is determined.
The mean height of 790 students in a school is 151 cm and the standard deviation is 15 cm. Assume that the heights are normally distributed. How many students have heights between 119.5 cm and 155.5 cm? Select one: a. 474 students b. 381 students c. 316 students d. 93 students e. 395 students