Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

To find power of the test statistic, Type II error and sample size

The Product Design & Marketing Departments have agreed to consider changing the material used for the handle of an ax produced by their firm for consumer use. The material currently used is hickory (wood). They are contemplating, primarily for reasons related to cost, the use of a composite material; produced by an overseas supplier.

One of the critical product performance characteristics for the handle is resistance to splitting &/or breakage during use, measured in the laboratory with an impact test. This is, as you might expect, a destructive test; and is expensive to run. Historically, the hickory handles have yielded the following parameters for this characteristic:

μ = 110 lbs.

σ = 2 lbs.

γ3 = 0.0

γ4 = 0.0

A sample of 9 of the new composite handles were tested in the impact test, and yielded the standard deviation (snew) of 2.1 lbs.; subsequent statistical analysis allowed the researcher to infer that there had been no change in the variability of the impact resistance of the new handles from the results exhibited by the old (wooden) handles.

problems:
assume that a difference (Δ) of 2 lbs. in the mean was important to detect, a maximum Type I Error (α) level of 5 percent, and the desire to run a two-tailed test, then
A. What is the Power of test?
B. What is β?
C. In your mind, are these values acceptable? Why? Why not?
D. If a maximum β of 1 percent was required, what must the sample size have been?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M921654

Have any Question? 


Related Questions in Statistics and Probability

A group of statistics students decided to conduct a survey

A group of statistics students decided to conduct a survey at their university to find the average (mean) amount of time students spend studying per week. Based on a simple random sample, they surveyed 45 students. The s ...

Describe the technologies that contributed to the

Describe the technologies that contributed to the development and advancement of the newspaper from small, infrequent circulations of a few brief pages to the mass production of daily, extensive pages of news.

Otto is trying out for the javelin throw to compete in the

Otto is trying out for the javelin throw to compete in the Olympics. The lengths of his javelin throws are normally distributed with a mean of 310 feet and a standard deviation of 13 feet. What is the probability that th ...

Project -you must show all steps for the hypothesis testing

Project - You must show all steps for the hypothesis testing; use either the critical value approach or the p-value approach. 1) a) Choose one of the following quantitative variables from the data set: Age, Weight, Cell ...

A committee comprised of 15 members is called upon to

A committee comprised of 15 members is called upon to choose the prettiest color: red, blue, or yellow. The committee members simultaneously announce their strict preference relations among these three colors. If red is ...

Entertainment software association would like to test if

Entertainment Software Association would like to test if the average age of "gamers" (those that routinely play video games) is more than 30 years old. A random sample of 33 gamers was selected and their ages were record ...

An employer interviews 9 people for 6 computer programming

An employer interviews 9 people for 6 computer programming positions in a company, and 4 of the 9 people are men. If all 9 are qualified, in how many ways can the employer fill the computer programming positions if exact ...

Describe secretary of state john quincy adamss address to

Describe Secretary of State John Quincy Adams's Address to Congress, July 4, 1821. As a statement of American Foreign Policy, what does it assert? Do you think it accurately reflects American Foreign Policy up to that ti ...

Relate the content of this video to the industry segment of

Relate the content of this video to the Industry segment of the external environment by describing which of Porter's Five Competitive Forces is the focus of Outsell Consulting's value proposition? What is the nature of t ...

In this exercise we prove a generalization of brouwers

In this exercise, we prove a generalization of Brouwer's Fixed Point Theorem to compact sets that are not necessarily convex, but are homeomorphic to a convex set. Two compact sets X and Y in R n  are called homeomorphic ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen