A manufacturer knows that their iterns have a lengths that are skewed right, with a mean of 16.6 inches, and standard deviation of 5.4 inches. If 33 items are chosen at random, what is the probability that their mean length is greater than 16.2 inches? (Round answer to four decimal places)

A manufacturer knows that their iterns have a lengths that are skewed right, with a mean of 16.6 inches, and standard deviation of 5.4 inches. If 33 items are chosen at random, what is the probability that their mean length is greater than 16.2 inches? (Round answer to four decimal places)

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: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.4…

A: Solution : Mean = 19.4 Standard deviation = 2.8 Sample size = 36 P(xbar > 18) z-statistic: (xbar…

Q: The cost of textbooks is normally distributed with a mean of $203. You do not know the population…

A: Solution: Let X be the cost of textbook. From the given information, x-bar=$203, s=$48 and n=4.

Q: The diameters of ball bearings are distributed normally. The mean diameter is 87 mm and the standard…

Q: The cost of textbooks is normally distributed with a mean of $223. You do not know the population…

Q: A racing car consumes a mean of 9292 gallons of gas per race with a standard deviation of 44…

A: Given: Mean, μ=92Std deviation, σ=4n = 41

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 8.1…

A: Given Mean=8.1 Standard deviation=0.5 N=40

Q: If a male passenger is randomly selected, find the probability that he can fit through the doorway…

A: It is given that Mean, μ = 69 Standard deviation, σ = 2.8

Q: normally distributed with a mean of 28 ounces and a standard deviation of 1 ounce. What is the…

A: From the available information, the amounts of boxed cereal are normally distributed with a mean of…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 5.2…

A: Given that the manufacturer knows that the lengths are skewed right. Which means that we cannot…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 6.1…

A: Given: Length of items = X X distribution is skewed towards right mean of X= 6.1 inches standard…

Q: ) over six feet tall, and (ii) below 5:5 feet ? Assume heights to be norme 11.- 1.: sih vile

A: a). We are given; Mean=µ=68.22 Variance=σ2=10.8 First, we calculate the standard deviation, i.e, σ.…

Q: Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 14.6…

A: Here,we need to apply Central Limit Theorem

Q: The operation manager at a tire manufacturing company believes that the mean mileage of a tire is…

A: The sampling distribution of sample mean follows the normal distribution, if the population is…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.5…

A: Given data: The given mean length is: μ=11.5 in. The standard deviation is: σ=0.5 in. The number…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 18.7…

A: It is given that the mean is 187, the standard deviation is 47 and the sample size is 34.

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.6…

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

Q: If 70 shafts are sampled at random from the batch, what is the probability that the mean diameter of…

A: Let X be the random variable of the diameter of metal shafts produced in a manufacturing…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 13.3…

Q: The cost of textbooks is normally distributed with a mean of $216. You do not know the population…

A: The mean is $216, sample standard deviation is $49, a sample of 6 textbooks. The probability that…

Q: The mean weight of an adult is 79 kilograms with a standard deviation of 10 kilograms. If 188…

A: Let X be the random variable from normal distribution with mean (μ) = 79, standard deviation (σ) =…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.6…

A: The answer is attached below,

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 9.7…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.7…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a…

A: Given,mean(μ)=85standard deviation(σ)=20sample size(n)=100

Q: The head circumferences of women are normally distributed with a mean of 32 cm and a standard…

Q: The weight of elephants at a zoo in Pittsburgh has a population mean of 5.3 tons and population…

A: Given Mean(μ)=5.3standard deviation(σ)=1.2sample size(n)=12

Q: An airliner carries 300 passengers and has doors with a height of 75 in. Heights of men are normally…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 15.2…

A: Given, n=41 which is greater than 30 which implies that the Here,

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 13.8…

A: The central limit theorem says that for a sequence of independent and identically distributed random…

Q: A racing car consumes a mean of 103 gallons of gas per race with a standard deviation of 6 gallons.…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 16.4…

A: From the provided information, Mean (µ) = 16.4 Standard deviation (σ) = 4.3

Q: The weight of rice is normally distributed. Each bag of rice weighs with a mean of 50 pounds and a…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 5.7…

Q: he cost of textbooks is normally distributed with a mean of $249. You do not know the population…

A: Given Information: The cost of textbooks is normally distributed with a mean of $249. Mean = 249…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 9.5…

A: We have given that, X be the random variable from normal distribution with mean (μ) = 9.5, standard…

Q: The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 120…

A: Given that. X~N( μ , ?^2 ) μ=120 , ?=26 Z-score =( x - μ )/? NOTE:- According to…

Q: A racing car consumes a mean of 8686 gallons of gas per race with a standard deviation of 77…

A: The mean is 86, and the standard deviation is 7.

Q: The mean number of words per minute (WPM) typed by a speed typist is 123 with a standard deviation…

A: It is given that the mean is 123, the standard deviation is 14 and the sample size is 52.

Q: In a dorm, the weights of the students are normally distributed with mean 175 lbs and standard…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11…

A: Mean = 11 Standard deviation = 2.9 Sample size = 36

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 12.4…

A: From the provided information, Mean (µ) = 12.4 Standard deviation (σ) = 2.5 Sample size (n) = 46

Q: The lengths of text messages have an unknown distribution with mean 26 and standard deviation 5…

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

100%

Expert Solution

Step 1

$G i v e n d a t a, μ = 16.6 σ = 5.4 I f n = 33 P (X > 16.2) = ?$

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

A brand of corn flakes come in a box that says it holds 28 ounces of cereal. The manufacturer says that the weights of corn flakes have a normal distribution with a standard deviation of 0.13 ounces. Use the Cumulative Z-Score Table to answer the following questions. The Z-Score Table can be found below by selecting "Read". Round all answers to the nearest box. If the manufacturer ships 730,000 boxes thèn... boxes ...how many boxes weigh less than 27.9025 ounces? boxes ...how many boxes weigh more than 27.9025 ounces? boxes ...how many boxes weigh less than 27.636 ounces? boxes ..how many boxes weight more than 27.636 ounces? boxes ...how many boxes weigh between 27.636 and 27.9025 ounces? Z-Score Table. Question Help: Video Submit Question 9:40 AM
A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.8 inches, and standard deviation of 2.9 inches.If 50 items are chosen at random, what is the probability that their mean length is greater than 10.9 inches?(Round answer to four decimal places)
The cost of textbooks is normally distributed with a mean of $204. You do not know the population standard deviation, but you know the sample standard deviation to be $40.What is the probability that from a sample of 5 textbooks, their average cost will be less than $248? (Report answer accurate to three decimal places.)
Based on record, the mean weight of the newborn babies is 4.8lbs with a standard deviation of 0.75lbs. Out of 60 newborn babies, find the probability that the sample mean is at least 4.4 lbs
The cost of textbooks is normally distributed with a mean of $239. You do not know the population standard deviation, but you estimate the sample standard deviation to be $47.What is the probability that from a sample of 7 textbooks, their average cost will be between $204 and $270? (Report answer accurate to three decimal places.)
A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.5 inches, and standard deviation of 3.7 inches. If 41 items are chosen at random, what is the probability that their mean length is greater than 12.4 inches? (Round answer to four decimal places)
m&m's are packaged by weight, rather than by number of pieces, but consumers expect to have about 50 peices of candy in a single serving size bag. The number of pieces in a bag is normally distributed with a mean of 52.4 and a standard deviation of 2.2. a. Find the z-score corresponding to a bag with 47 pieces. Round your answer to 2 decimal places. b. Find the probability of a bag containing 47 or fewer pieces. Round your answer to 4 decimal places. c. A customer will be dissatisfied if they purchase a bag that contains fewer than 47 pieces. What percentage of customers will be dissatisfied? Round your answer to 2 decimal places. % The machine that packages the m&m's can be reset to change the average number per bag, although the variability (the standard deviation) will remain the same. What should the average be set to, in order to ensure that fewer than 1% of…
A manufacturer knows that their items have a lengths that are skewed right, with a mean of 17.9 inches, and standard deviation of 3.8 inches. If 47 items are chosen at random, what is the probability that their mean length is greater than 16.8 inches? (Round answer to four decimal places)
A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.2 inches, and standard deviation of 2.9 inches. If 41 items are chosen at random, what is the probability that their mean length is greater than 12.5 inches? (Round answer to four decimal places)
A manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.6 inches, and standard deviation of 2.6 inches. If 37 items are chosen at random, what is the probability that their mean length is greater than 19.2 inches? (Round answer to four decimal places)
A racing car consumes a mean of 106 gallons of gas per race with a standard deviation of 6 gallons. If 33 racing cars are randomly selected, what is the probability that the sample mean would be greater than 103.7 gallons? Round your answer to four decimal places.
A manufacturer knows that their items have a lengths that are skewed right, with a mean of 5 inches, and standard deviation of 0.7 inches.If 37 items are chosen at random, what is the probability that their mean length is greater than 5 inches?(Round answer to four decimal places)