**Question:**A random sample of \( n = 4 \) scores is obtained from a normal population with \( \mu = 30 \) and \( \sigma = 8 \). What is the probability that the sample mean will be less than \( M = 22 \)?- \( p = 0.00003 \)- \( p = 0.0228 \)- \( p = 0.1587 \)- \( p = 0.3085 \)**Explanation:**This question involves calculating the probability that the sample mean is less than a specified value when sampling from a normal distribution. The population has a mean (\( \mu \)) of 30 and a standard deviation (\( \sigma \)) of 8. The sample size is 4. To find the probability of a sample mean being less than 22, you may need to use the standard error and z-score calculation.

A random sample of n = 4 scores is obtained from a normal population with u = 30 and σ = 8.

Answered: A random sample of n = 4 scores is…

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 random sample of n = 81 from a population with a normal distribution that has a μ = 64 with σ = 22.5. What is the probability that the sample is between 62 - 66?
the amount of money spent by lunch time cusomers at a deli has a population mean 533.7 and population standard deviation 129.4 in a random sample of 45 lunchtime customers, find the probability that the sample average spent is between 490 and 570
The average life of a certain battery is 7 years, with a standardeviation of 2 year. A random sample of size 16 of such batteries Assume that the live of the battery approximately follows a normal distribution. What is the probability that the average life will be at most 8 years?
Find the standardized test statistic t for a sample with n = 20, x=6.8, s= 2.0, and o = 0.05 if Hau < 7.2, Round your answer to three decimal places.
Consider a random variable X that follows a normal distribution with mean 100 and standard deviation 20. What is the probability that X is less than 140?
A production line in a factory, assembles laptops. A random sample of assembly time of 36 laptops has been drawn from this factory. Suppose, the population distribution has a mean assembly time of 25 minutes and standard deviation 6 minutes. What is the probability that a sample mean is 26 minutes? Select one: O'O E b. =P(Z>1) C. =P(Z=o) d. =P(Z<1) e. None of the others ge Next page
A production line in a factory, assembles laptops. A random sample of assembly time of 36 laptops has been drawn from this factory. Suppose, the population distribution has a mean assembly time of 25 minutes and standard deviation 6 minutes. What is the probability that a sample mean is 26 minutes? Select one: a. 0.0 b. =P(Z>1) c. =P(Z=0) d. =P(Z<1) e. None of the others
The proportion of the stationary supply sold during the month is a beta random variable with? = 4 and ? = 2. Find the probability of selling at least 90% of the total stationary in a givenmonth?
level of blood glucose and diabetes are closoly related. Let x bo a random variable measured in milligrams of glucose per deciliter of od. After a 12-hour fast, th random variable x will have a distribution that is approximately normal with mean - 85 and standard deviation 5. What is the probability that for an adult after a 12-hour fast. s less than 7o, b. x is greater than 120?
Randomly sample 256 items from a population where individuals have a normal distribution with a mean of 250 and a standard deviation of 80, find the following probability rounded to 4 decimal places. 230 235 240 z = -4 z = -2 P(Z < 252.4) 245 250 z = 0 255 260 265 z = 2 270 Z =
For a normally distributed random variable, the population mean is 4.32 and population standard deviation is 1.7. For a sample size of n= 21 selected randomly from the population Find the z score for sample mean x-bar= 1.6 Round to 2 decimals

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

A random sample of n = 4 scores is obtained from a normal population with u = 30 and o = 8. What is the probability that the sample mean will be less than M = 22? O p = 0.00003 p = 0.0228