Answered: A company sells sunscreen in 300…

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

A company sells sunscreen in 300 milliliter (ml) tubes. In fact, the amount of lotion in a tube varies according to a normal distribution with mean μ=296 ml and standard deviation σ=7 ml. Suppose a store which sells this sunscreen advertises a sale for 4 tubes for the price of 3. Consider the average amount of lotion from a SRS of 4 tubes of sunscreen and find:

(a) The standard deviation of the average, x¯ :

(b) The probability that the average amount of sunscreen from 4 tubes will be less than 286 ml.
Answer:

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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