Ex: an electronics company manufactures resistors that have a mean resistance of 95 ohms and a standard deviation of 5 ohms. The distribution of resistance is normal. Find the probability that a random sample of n= 20 resistors will have an average resistance less than 90 ohms.

Ex: an electronics company manufactures resistors that have a mean resistance of 95 ohms and a standard deviation of 5 ohms. The distribution of resistance is normal. Find the probability that a random sample of n= 20 resistors will have an average resistance less than 90 ohms.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A population has a standard deviation of 25 and a mean of 300. Given a random sample of size 100,…

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2010 Chevrolet…

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

Q: in a certain region, the mean annual salary for electricians is $58,650. Let x be a random variable…

A: GivenMean(μ)=58650standard deviation(s)=1890sample size(n)=40

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

Q: C. A manufacturing company firm produces LED lamps with a mean lifetime of 900 hours and a standard…

A: Sample distribution of sample Mean (x¯) : Suppose simple random sample of size ‘n’ is drawn form…

Q: For a population With a mean of 75 and a standard deviation of 12, what is the probability that a…

Q: A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be…

A: Given Information: Mean μ=80 Standard deviation σ=7 Sample size n=49

Q: A sample of 235 students was taken for an exploratory study. Each member of a random 35 of these…

A: Since the sample size is sufficiently large, and the population standard deviation is known, the…

Q: Part ii) Suppose the number of printers drawn is quadrupled. How will the mean of the sample mean…

A: From the given information, The mean of the distribution is 17.57 ppm and the standard deviation is…

Q: unt of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavaliershows that…

A: The standard deviation of 40 mechanics is selected, the standard deviation of the sampling…

Q: Canadians usually spent around $940 on Christmas presents in 2005. Assume the standard deviation is…

A: Given: Mean=μ=940 and standard deviation=σ=210. Sample size=n=70.

Q: A particular fruit's weights are normally distributed, with a mean of 557 grams and a standard…

A: From the given information, let X be the fruit’s weights. Here, X follows normally distribution with…

Q: A veterinary researcher takes an SRS of 60 horses presenting with colic whose average age is 12…

A: Option b is the correct answer.

Q: Approximately 38,500 miles is the design life of a prototype vehicle tire, with a standard variation…

A: Solution Given population mean (μ) =38,500 miles population standard deviation (σ) 2,500 miles N= 5…

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

Q: In a test, students averaged 16.2 errors with a standard deviation of 4.2 errors. Say a random…

A: Given data μ = 16.2σ = 4.2n = 49P( x¯ >15) = ? Normal distribution

Q: a population has a mean of 74 and a standard deviation of 17.4. a sample of 35 items is randomly…

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

A: We are given,μ = 196σ = 22n = 60

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

A: The test scores are -1.64 and 1.64.

Q: A population is normally distributed with mean 15 and standard deviation 2.6. Find the probability…

Q: A random sample of 64 is taken of the height of college students. This population has mean 68 inches…

Q: population has a mean of 91 and a standard deviation of 10. A sample of 25 observations will be…

A: μ = 91σ = 10n = 25P(87.56<x¯<96.3) = ?

Q: You obtained IMDB scores of all movies and see that they are normally distributed with a mean of 6.7…

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: 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: A new species of rabbit has an average body length of 45mm with a standard deviation of 3mm. In a…

A: Given that the new species of the rabbit has an average body of 45mm, which means the mean is 45mm…

Q: suppose the walking step lengths of an adult males are normally distributed with a mean of 2.7 feet…

A: Given that Mean=μ=2.7 Standard deviation=σ=0.3 Sample size=n=70 X~Normal(μ=2.7,σ=0.3)

Q: If an experimental automobile prototype running at 50 miles per hour expends an average of 120…

Q: Find the probability that the mean of a randomly chosen sample of 25 students scores is between 72.3…

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

A: Answer:- Given, Bone density test scores (X) are normally distributed with a mean of 0 and a…

Q: Suppose that an accounting firm does a study to determine the time needed to complete one person's…

A: Given that An accounting firm does a study to determine the time needed to complete one person's…

Q: standard

A: Given: Mean, μ=80 Standard deviation, σ=7 Sample size, n=49 To find: P (X>82) Using normal…

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

Q: The heights of strawberry plants are Normally distributed with a mean of 12 inches 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: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: From the given information, Test scores that is X is normally distributed woth mean 0 and standard…

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

AH.W Lec 6
classroom.google.com/u/0/c/Mjg4ODcwMDc2ODM0/a/MzYwMTk2NzQ4NTg0/details
H.W
Ex: an electronics company manufactures resistors that have a
mean resistance of 95 ohms and a standard deviation of 5 ohms.
The distribution of resistance is normal. Find the probability that a
random sample of n= 20 resistors will have an average resistance
less than 90 ohms.
lenovo
F6
F7
F9
E10

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 Normal distribution

VIEW

Step 2 Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

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, statistics and related others by exploring similar questions and additional content below.

Similar questions

A population of values has a mean of 233.8 and standard deviation of 44.4. Find the probability that a sample of 46 values from this population will have a mean between 234.5 and 245.6.
Suppose that you are studying the number of vehicles owned by a US household. You find that the average is 1.9 vehicles per household with a standard deviation of 2.8 vehicles per household. What is the most likely shape for the population described above? Find the probability that 40 randomly selected households have an AVERAGE number of vehicles greater than 2.5.
A population of heights is normally distributed with a mean of 68.8 inches and a standard deviation of 4.6 inches. Suppose a person is randomly selected from this population. What is the probability that the person's height is greater than 71 inches? A. 0.16 B. 0.32 C. 0.68 D. 0.84
Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
In a certain region, the mean annual salary for electricians is $58,650. Let x be a random variable that represents an electrician's salary. Assume the standard deviation is $1420. If a random sample of 50 electricians is selected, what is the probability that the sample mean is greater than $59,000? A. 0.041 B. 0.403 C. 0.038 D. 0139
A report claimed that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assuming the variable is normally distributed and the standard deviation is 3 hours. If 40 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch television will be greater than 26.3 hours.
Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. What is the probability that the height of a randomly selected boy is greater than 145 cm? a. 0.1357 b. 0.1151 c. 0.1841 d. 0.1587
Given a sample with a mean of 151 and a standard deviation of 27, find the probability that a randomly-selected data point from the sample will have a value greater than 158.0.
A random sample of 40 computer chips is drawn from population and the weight of each recorded. A previous study showed that the population mean weight was 0.8 ounces with a standard deviation of 0.1 ounces. What is the probability that the sample has a mean weight between 0.75 and 0.90 ounces?
A market researcher analyzes how many cases of bottled water a customer buys at a grocery store. The distribution has a mean of 3.0 and standard deviation of 0.7. Assuming a random sample of 400 customers, what is the probability that the total cases of bottled water purchased is less than 1,186?
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables d. Less than 55 poundse. Less than 49 pounds
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.6 feet and a standard deviation of 0.3 feet. A sample of 59 men's step lengths is taken. Step 1 of 2: Find the probability that an individual man's step length is less than 2.3 feet. Round your answer to 4 decimal places, if necessary.