3M Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500.a.What is standard error of the sampling distribution of ?b.What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14?c.What is the probability that the average aptitude test in the sample will be greater than 82.68?d.What is the probability that the average aptitude test in the sample will be less than 78.69?

Given, Mean = 75 Standard deviation = 15 Sample size = 25 The objective is to find the required…

Answered: 3M Corporation gives each of its…

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

Concept explainers

Question

3M Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500.

a.	What is standard error of the sampling distribution of ?
b.	What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14?
c.	What is the probability that the average aptitude test in the sample will be greater than 82.68?
d.	What is the probability that the average aptitude test in the sample will be less than 78.69?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step by step

Solved in 3 steps with 4 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