Confidence Intervals for Bag Weights: A Statistical Guide

Chapter 7, Problem 4E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Let \(m\) denote the median weight of “80-pound” bags of water softener pellets. Use the following random sample of \(n=14\) weights to find an approximate 95% confidence interval for \(m\):

\(\begin{array}{lllllll} 80.51 & 80.28 & 80.40 & 80.35 & 80.38 & 80.28 & 80.27 \\ 80.16 & 80.59 & 80.56 & 80.32 & 80.27 & 80.53 & 80.32 \end{array}\)

(a) Find a 94.26% confidence interval for \(m\).

(b) The interval \(\left(y_{6}, y_{12}\right)\) could serve as a confidence interval for \(\pi_{0.6}\). What is its confidence coefficient?

Questions & Answers

QUESTION:

Let \(m\) denote the median weight of “80-pound” bags of water softener pellets. Use the following random sample of \(n=14\) weights to find an approximate 95% confidence interval for \(m\):

\(\begin{array}{lllllll} 80.51 & 80.28 & 80.40 & 80.35 & 80.38 & 80.28 & 80.27 \\ 80.16 & 80.59 & 80.56 & 80.32 & 80.27 & 80.53 & 80.32 \end{array}\)

(a) Find a 94.26% confidence interval for \(m\).

(b) The interval \(\left(y_{6}, y_{12}\right)\) could serve as a confidence interval for \(\pi_{0.6}\). What is its confidence coefficient?

ANSWER:

Step 1 of 5

Given:

The weights of the bags of the water softener pallets are as given below:

\(\begin{array}{lllllll} 80.51 & 80.28 & 80.40 & 80.35 & 80.38 & 80.28 & 80.27 \\ 80.16 & 80.59 & 80.56 & 80.32 & 80.27 & 80.53 & 80.32 \end{array}\)

The number of observations given is \(n=14\).

Add to cart

Watch The Answer!

Confidence Intervals for Bag Weights: A Statistical Guide
Stars

Want To Learn More? To watch the entire video and ALL of the videos in the series:

Add to cart

Understand the process of determining the 94.26% confidence interval for the median weight of "80-pound" bags of water softener pellets using a standard normal table and specified formulas. Additionally, explore the steps to deduce a confidence level of 90.47%.


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back