**Transcription for Educational Website:**---**Find the probability and interpret the results. If convenient, use technology to find the probability.**The population mean annual salary for environmental compliance specialists is about $61,000. A random sample of 43 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $57,500? Assume σ = $5,900.---**The probability that the mean salary of the sample is less than $57,500 is [ ].***(Round to four decimal places as needed.)*---**Explanation:**This problem involves calculating a probability using the normal distribution. Given the population mean and standard deviation, along with sample size, you would typically standardize the sample mean using the Z-score formula for sample means. This is a standard problem in statistical inference, and often technology or statistical software is used to compute this probability efficiently.

Given,Mean, μ = 61000Sample size, n = 43Standard deviation, σ = 5900Let X be a random variable…

Answered: Find the probability and interpret the…

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

For example, let us assume that the mean quantity of cholesterol in eggs is 185 milligrams with a standard variation of 8 milligrams. Calculate the probability that the mean amount of cholesterol in a sample of 44 eggs will be within 3 milligrams of the mean amount of cholesterol in the general population.
Subject;
According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X = height of the individual. Find the probability that the person is between 64 and 69 inches. The middle 40% of heights fall between what two values?Write the probability statement. State the two values. (Round your answers to one decimal place.) x1,x2 ch6#9
According to a 2009 Reader's Digest article, people throw away about 10% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 115 grocery shoppers to investigate their behavior. What is the probability that the sample proportion does not exceed 0.11? Answer = (Enter your answer as a number accurate to 4 decimal places.) Check Answer
Suppose that 72% of Veterinary School graduates who take the licensure exam for their state pass the exam. Find the approximate probability that at least 75% of 150 randomly sampled people taking the Veterinarian licensure exam will pass the exam. Round your answer to four decimal places.
Please show all your steps.1. According to a candy company, packages of a certain candy contain 21% orange candies.Find the approximate probability that the random sample of 500 candies will contain 23%or more orange candies.
According to a 2009 Reader's Digest article, people throw away about 11% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 79 grocery shoppers to investigate their behavior. What is the probability that the sample proportion does not exceed 0.18?Note: Calculate z to two decimal places.Answer = (Enter your answer as a number accurate to 4 decimal places.)
Find the indicated probability and interpret the result. From 1975 through 2020, the mean annual gain of the Dow Jones Industrial Average was 653. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume o = 1540. The probability is (Round to four decimal places as needed.) Interpret the result. Select the correct choice and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. About OB. About OC. About OD. About % of samples of 46 years will have an annual mean gain between 400 and 800. % of samples of 34 years will have an annual mean gain between 653 and 800. % of samples of 34 years will have an annual mean gain between 400 and 800. % of sampl of 34 years will have an annual mean gain between 400 and 653.
When marketing a new product, a company conducts a taste survey. A recent survey of 399 respondents revealed that 83.38% liked the bread. Determine the variance of the probability distribution. Round your answer to 2 decimal places.
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
According to a 2009 Reader's Digest article, people throw away approximately 17% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 114 grocery shoppers to investigate their behavior. What is the probability that the sample proportion is between 0.09 and 0.15? Answer = (Enter your answer as a number accurate to 4 decimal places.)
The mean percent of childhood asthma prevalence in 43 cities is 2.38%. A random sample of 30 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.8%? Interpret this probability. Assume that o = 1.25%. The probability is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. About % of samples of 43 cities will have a mean childhood asthma prevalence greater than 2.8%. O B. About % of samples of 30 cities will have a mean childhood asthma prevalence greater than 2.38%. O C. About % of samples of 30 cities will have a mean childhood asthma prevalence greater than 2.8%. Click to select your answer(s). P Type here to search 99+ a (? 1:42 PM 4/11/2021 ho insen 144 ese & t backspace %23 3. %24 4 6. 8 2. Y W tab H. J. K pase 5 R

SEE MORE QUESTIONS

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