Question 5According to a study, the time between taking a pain reliever and getting relief of a randomly selectedpatient has a normal distribution with a mean of 30 minutes and a standard deviation of 4.2 minutes. LetX be the time between taking a pain reliever and getting relief for a randomly selected patient and let Xbe the average time between taking a pain reliever and getting relief for a random sample of size 38.1. Describe the probability distribution of X and state its parameters μ and o:(μ = 30 ✓,0 = 4.2X~Nand find the probability that the time between taking a pain reliever and getting relief for a randomlyselected patient is less than 38.6 minutes.0.9798✔ (Round the answer to 4 decimal places)2. Use the Central Limit Theoremthe original population is normally distributedto describe the probability distribution of X and state its parameters and ox: (Round the answers to 1decimal place)(PX✓₁0x = 0.7 ✓and find the probability that the average time between taking a pain reliever and getting relief for asample of 38 randomly selected patients is between 28 and 31 minutes.0.9276 x (Round the answer to 4 decimal places)X~N30

Obtain the probability that the average time between taking a pain reliever and getting relief for a…

Answered: According to a study, the time between…

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

Similar questions

A patient is classified as having gestational diabetes if her glucose level is greater than 140 milligrams per deciliter (mg/dl) one hour after ingesting a sugary drink. Grace's measured glucose level one hour after the sugary drink varies according to the Normal distribution with H = 135mg/ dl and o = 10mg/ dl. If a single glucose measurement is made, what is the probability that Grace is diagnosed with gestational diabetes? O a. 0.832 O b.0.168 Oc.0.309 O d.0.691
A study shows in a certain school that the average number of hours a student answers his/her module in a day is 26.8 hours with a standard deviation of 5.57. Assuming that the data are normally distributed. Find the probability that the number of hours spent by a student in answering his/her modules is between 19 hours and 28 hours. With Normal Curve Distribution representation.
A random variable has a longnormal distribution with mean 10 and variance 4. Calculate the probability that the variable will take a value between 7.5 and 12.5
Let x be a random variable that represents the commute time of teachers in a large rural area. If x is normally distributed with a mean of 64 minutes and a standard deviation of 12.2 minutes, find the probability that a commute time is greater than 70 minutes.
The random variable X has a uniform distribution with values between 15 and 25. What is the mean and standard deviation of X?
Two devices are used to measure the length of beam. If the true length of the beam is L, the measurement error made by one device, E, , is normally distributed with mean 0 and standard deviation 0.006L, and the measurement error made by the other device, E, , is normally distributed with mean 0 and standard deviation 0.004L. The two measurement errors are independent of each other. What is the probability that the average value of the two measurements, (E, + E,)/2, is within 0.5% of L? Note that this problem can be done using the attached table of the cdf of the standard normal random variable.
Based on data from the National Health Board, weights of men are normally distributed with a mean of 178 lbs, and a standard deviation of 29 lbs. Find the probability that 20 randomly selected men will have a mean weight between 170 and 190.
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
You studied a third CPU and found that its speed is a continuous random variable that follows a normal distribution, with a mean value of 3.6 GHz and a standard deviation of 0.8 GHz. Find the probability that the third CPU would run faster than the expected speed of CPU1.
At a large manufacturing company the mean age of workers is 37 years, and the standard deviation is 6. Assume the variable is normally distributed. If a random sample of 44 workers is selected, what is the probability that the mean age of the workers in the sample is between 36 and 40 years.
Suppose that among salmon fish that are longer than 80cm, their weights have a mean of 6.4kg and a standard deviation of 0.5kg. The wholesale price per kg for these salmon fish is $9.46. The fishing company supplies freshly caught salmon to a local restaurant. The restaurant just placed an order for 120 salmon fish. If the fishing company randomly selects 120 salmon that are longer than 80cm for the restaurant, find the probability that the total wholesale price of the 120 salmon exceeds $7,350.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS