The average lifetime of a car tire is 20,000 km with a standard deviation of 4,640 km. A random sample of 100 tires is taken for quality control inspection. What sample size of car tire is required to provide a 0.96 probability that the average lifetime in the sample will be less than 20,500 km?

Q: The amount of weight on an ACME tractor trailer is known to have a normal distribution with mean 9.5…

A: GivenMean(μ)=9.5standard deviation(σ)=0.5

Q: A random sample of 25,000 ACT test takers had an average score of 25 with a standard deviation of 6.…

A: Answer:- Given, Sample size, n = 25000  And Standard deviation, s = 6  Using formula,  Standard…

Q: In a random sample of 23 private school teachers in queens county the average teaching experience is…

A:

Q: A light bulb manufacturer guarantees the mean life of a light bulb is at least 731 hours. A random…

A: Given,

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

A: It is an important fact in statistics . It has got wide applications in all statistical fields .

Q: Fluorescent lightbulbs have lifetimes that follow a normal distribution, with an average life of…

A: Solution: From the given information, σ=1,612 hours and n=332.

Q: Assume the samples are random and independent and the populations are normally distributed. A marine…

A: Given problem is :   Assume the samples are random and independent and the populations are…

Q: The water content of soil from a borrow site is normally distributed with a mean of 13.2% and a…

A: Given information: The water content of soil from a borrow site is normally distributed with a mean…

Q: A random sample of 30 alloy of TIN and LEAD contains, on average, 100 grams of LEAD with a standard…

A: CONFIDENCE INTERVAL FOR ONE SAMPLE T TEST ANSWER :- The provided sample mean is  = 100 Population…

Q: The life of sunshine CD players is normally distributed with mean of 4.9 years and a standard…

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: An air filter is rated to catch 90% of airborne particles. If the average particle diameter is 0.5…

A: For the distribution of the size of the particles (in microns), the parameters are given as…

Q: A library checks out an average of 332 books per day with a standard deviation of 58 books. The…

A: Given that a library checks out an average of 332 books per day with standard deviation of 58 books.…

Q: In a mango farm of 500 trees, the mean harvest is 96.5 kg of mango fruits per tree with a standard…

A: In a mango farm of 500 trees, the mean harvest is 96.5 kg of mango fruits per tree with a standard…

Q: The amount of snowfall falling in a certain mountain range is normally distributed with 80 inches…

A: Let x¯ denotes the mean annual snow falling during 25 randomly picked years. The mean is 80, and…

Q: The mean age that cats get adopted at a shelter is 21.4 months with a standard deviation of 3.6…

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

Q: The tread life of Stone Soup tires can be modeled by a normal distribution with a mean of 35,000…

A: Given: Population mean = 35000 Population standard deviation  = 4000     Sample size (n) = 100 Let X…

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Given that, μ=28,σ=5 and n=40 The mean and standard deviation of the sample mean is,

Q: for a particular diamond mine ,80% of all the diamonds fail to qualify as gemstones grade. a random…

A: Given data, n=113 p=80%=0.80 q=1-p=0.20 Standard deviation=?

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Solution: Let X be the transport time. From the given information, X has mean µ=28 minutes and a…

Q: A tire company makes tires that have a normal distribution with a mean of 65,000 miles with a…

A: Given that Mean= 65000 and standard deviation= 3000

Q: For a large metropolitan area, carbon monoxide concentrations in air samples come from a normal…

A: We have to find out answer of given question....

Q: The time required for nurses to learn a particular task are found to be normally distributed with a…

A: Given information- Population mean, μ = 18.4 minutes Population standard deviation, σ = 2.7 minutes…

Q: A trucking firm suspects that the mean lifetime of a certain tire it uses is less than 34,000 miles.…

A: As the population standard deviation is not known, we will use a t-test. The null and alternative…

Q: Suppose that an airline uses a seat width of 17.1in. Assume men have hip breadths that are normally…

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: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

A:

Q: The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of…

A: Given Data Population Mean,μ = 0.45 Population Standard Deviation,σ = 0.05

Q: The length of time it takes college students to find parking spot in the library parking lot follows…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

A: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

Q: The amount of weight on an ACME tractor trailer is known to have a normal distribution with mean 9.5…

A:

Q: Draw á random sample of size 5 from a normal population with mean zero and standard deviation unity.

A:

Q: The speed of cars driving on Route 1 is normally distributed with a mean of 60 mph and a standard…

A: It is given that the, The speed of cars is normally distributed with a mean of 60 mph and a standard…

Q: The average rainfall in a certain area is 24.5 inches per year, with a standard deviation of 3…

A:

Q: Based on tests of the Chevrolet Cobalt, the miles per gallon in highway driving are normally…

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: Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean…

A: The detailed solution is as follows below:

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.