A manufacturing plant has 500 employees with average age as 35 years with standard deviation of 9 years. If a sample of 49 employees is randomly selected, what is the probability that the sample average will be less than 32 years? Options

A manufacturing plant has 500 employees with average age as 35 years with standard deviation of 9 years. If a sample of 49 employees is randomly selected, what is the probability that the sample average will be less than 32 years? Options

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

An instructor gives a test to a class containing several hundred students. It is known that the standard deviation of the scores is 14 points. A random sample of 49 scores is obtained. a. What is the probability that the average score of the students in the sample will differ from the overall average by more than 2 points? b. What is the probability that the average score of the students in the sample will be within 3 points of the overall average?
7. Furnace repair bills are normally distributed with a mean of 267 dollars and a standard deviation of 20 dollars. If 74 of these repair bills are randomly selected, find the probability that they have a mean cost between 267 dollars and 269 dollars.
2. The mean IQ of a sample of 1600 children was 99. Is it likely that this was a random sample from a population with mean IQ 100 and standard deviation 15?
9) CNNBC recently reported that the mean annual cost of auto insurance is 955 dollars. Assume the standard deviation is 239 dollars. You take a simple random sample of 93 auto insurance policies. Give your answers as numbers accurate to 4 decimal places. a. Find the probability that a single randomly selected value is less than 984 dollars. b. Find the probability that a sample of size n 93 is randomly selected with a mean less than 984 dollars.
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 122000 dollars. Assume the standard deviation is 41000 dollars. Suppose you take a simple random sample of 97 graduates.Find the probability that a single randomly selected salary that doesn't exceed 126000 dollars.Answer = Find the probability that a sample of size n=97n=97 is randomly selected with a mean that that doesn't exceed 126000 dollars.Answer = Enter your answers as numbers accurate to 4 decimal places.
According to College Board, the average out-of-state tuition for a four-year public college was $8,893 for the 2013-2014 academic year. There are a total of 629 four-year public institutions in the U.S. Assume that the standard deviation for the tuition for these colleges is $950. A random sample of 60 four-year public colleges was selected. What is the probability that the average tuition from this sample is less than $9,000?
Among the details made by the motor factory, 10% are defective. Find the meanand the standard deviation of the number of defective details among 8 randomly chosen.What is the probability that not more than 2 details among them are defective?
According to a survey, 10% of Americans are afraid to fly. Suppose n=1052n=1052 Americans are sampled. While computing standard deviation, use either at least 6 places or even better is to use the exact value. What is the probability percentage that 121 or more Americans in the survey are afraid to fly? Round the percent to two decimal places. What is the probability percentage that between 101 and 165 (inclusive) Americans in the survey are afraid to fly? Round the percent to two decimal places.
Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on average, 28 minutes with a standard deviation of 10 minutes. In a given time, a bus transported passengers 40 times. What is the probability that the average transport time was greater than 30 minutes? Assume the mean time is measured to the nearest minute.
Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on average, 31 minutes with a standard deviation of 5 minutes. In a given time, a bus transported passengers 45 times. What is the probability that the average transport time was less than 30 minutes? Assume the mean time is measured to the nearest minute
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
3. After being nominated for an MTV Music Award, the probability of winning is 22%. If Ariana Grande has been nominated for five awards, what is the chance that she will win at least one award? How many awards should she expect to win? What is the standard deviation associated with this probability?