A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 162.7-cm and a standard deviation of 1.8-cm. For shipment, 28 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is between 162.6-cm and 163.2-cm. P(162.6-cm < M < 163.2-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 162.7-cm and a standard deviation of 1.8-cm. For shipment, 28 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is between 162.6-cm and 163.2-cm. P(162.6-cm < M < 163.2-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted

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: The time needed to complete a final examination in a particular college course is…

A: Given: Population mean (µ) = 80 Population standard deviation (σ) = 10 Consider, X be the random…

Q: The annual per capita consumption of bottled water was 33.3 gallons. Assume that the per capita…

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: Due to a consumer protection law which penalizes manufacturers if their products are under filled…

A: Given, μ=26.9σ=0.46

Q: The Boeing 727 airliner carries 200 passengers and has doors with a height of 72 inches. Heights of…

A: Use excel formula "=NORMDIST(72, 68.5, 2.4/SQRT(100), TRUE)" to find the probability. Answer:

Q: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

Q: Tiger Woods hits an average driver 287.2 yards with a standard deviation of 24.6 yards. What is the…

A: The probability value is calculate by means of standard normal variate with the random variable,…

Q: The number of crackers in a box of Crackerbox Crackers is normally distributed with a mean of 75 and…

A: The provided information is µ=75 σ=2 P(X>76) P(X>76)=P(X-µσ>76-752)=P(z>0.5)=0.3085The…

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given information- Population mean, μ = 1.8 pounds Population standard deviation, σ = 1.02 pounds We…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: The formula is, Px<x=Pz<x¯-μσn

Q: At a customer service call center for a large company, the number of calls received per hour is…

A: Given, Mean=50 Standard deviation= 5 x1= 61 x2= 54

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

Q: At a large university, the mean amount spent by students for cell phone service is $38.90 per month…

Q: cular leg bone for dinosaur fossils has a mean length of 60 inches with standard deviation of 2…

A: Consider a random variable X which represents the length of the particular leg bone for dinosaur…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

Q: A regional radio station recently conducted a survey amongst a large sample of bus commuters to find…

A: Define X as listening time is normally distributed with a mean of 20 minutes and a standard…

Q: A 120-watt fluorescent light has an average brightness of 1986 lumens, with a standard deviation of…

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: We have to find out given probability..

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: Find the probability that the person is between 65.1 and 66.4 inches? Let X = height of the…

Q: A manufacturer of a lightbulb claimed that its lightbulbs have a mean lifetime of 700 hours with a…

A: Given Mean=mu=700 Standard deviation=sigma=120 n=144

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Given: A company produces steel rods. Let μ0 represents the mean length of the steel rods; that is;…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

Q: An elevator has a placard stating that the maximum capacity is 2325 lb-15 passengers. So, 15 adult…

A: Let "M" be the mean weight of adult male passengers.

Q: The Boeing 727 carries 200 passengers and has doors with a height of 72 inches. heights of men are…

A: The random variable X is defined as the heights of men which follows normal distribution with mean…

Q: The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and…

A: Hello, since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

Q: The top-selling Red and Voss tire is rated 70000 miles, which means nothing. In fact, the distance…

Q: assume that women's heights are normally distributed with a mean of 63.6 inches and a standard…

A: Mean = 63.6 Standard deviation = 2.5 Sample size = 81

Q: The sizes of houses in Kenton County are normally distributed with a mean of 1369 square feet with a…

A: From the given information, the mean and standard deviation are 1,369 and 171.

Q: The weight of potato chip bags filled by a machine at a packaging plant is Normally distributed,…

A: Given Mean=15 Standard deviations=0.2

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given values, μ=1.75σ=1.02x¯=1.68n=60

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

Q: The Boeing 727 carries 200 passengers and has doors with a height of 72 inches. heights of men are…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

Q: The distribution of weights of 9 ounce bags of a particular brand of potato chips is approximately…

A: Given Mean=9.12 Standard deviations=0.15

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

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 number of chocolate chips in an 18 ounce bag of chocolate chip cookies is approximately normally…

Q: The annual per capita consumption of bottled water was 33.3 gallons. Assume that the per capita…

A: Given information- Population mean, µ = 33.3 gallons Population standard deviation, σ = 12 gallons…

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Here, µ= 1.8 , σ= 1.05.

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given that: X is normally Distributed with mean µ = 1.75 and standard deviation σ = 1.02 By using…

Q: The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a…

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

A: a. It is given that the heights of women follow normal distribution with mean 63.6 inches and…

Q: The diameter of ping-pong balls manufactured by a French company is 1.57 inches with a standard…

Q: The weights of adult males are normally distributed with mean of 172 pounds and a standard deviation…

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given Information: The producer of a weight loss pill advertises that people who use this pill,…

Q: In average, a student reads 29 pages from a textbook each month. Assume a standard deviation is 3…

Q: Furnace repair bills are normally distributed with a mean of 269 dollars and a standard deviation of…

A: Given: Population meanμ=269Sample size(n) =64Population standard deviationσ=20 Consider X be the…

Q: Due to a consumer protection law which penalizes manufacturers if their products are under filled…

A: Given,mean(μ)=26.9standard deviation(σ)=0.51

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: From the provided information, Mean (µ) = 197.2 cm Standard deviation (σ) = 1.6 cm Let X be a random…

Question

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 162.7-cm and a standard deviation of 1.8-cm. For shipment, 28 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is between 162.6-cm and 163.2-cm.
P(162.6-cm < M < 163.2-cm) =

Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted

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