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

1 when would you calculate a multiple correlation

1. When would you calculate a multiple correlation coefficient? What do you learn if you square a multiple correlation? 2. How does a cross-lagged panel correlation design provide evidence to support a causal link betwee ...

For planning purposes the landfill in mountainview

For planning purposes. the landfill in Mountainview estimates the weight of plastic to b e1.7 pounds per household each week. You have noticed a lit of plastics in the garbage in your neighborhood and want to test the cl ...

Consider the three alternative allocations of money m in an

Consider the three alternative allocations of money (m) in an economy composed of three people, with people labeled A, B, C, and alternative allocations labeled X, Y, Z. The values in the 9 cells are the moneys accruing ...

Consider a repeated game with standard information where

Consider a repeated game with standard information, where each player maximizes his expected 8-discounted average payoff, for some 8 that is close to but less than 1. Payoffs at each round depend on the players' moves as ...

Designing and writing a report on a statistical study of

Designing and Writing a Report on a Statistical Study of Your Own Select a question of your own to investigate using one of the hypothesis tests studied in this class.  Explain why you chose the particular question to in ...

Recommendationsremember that your recommendations should be

Recommendations: Remember that your recommendations should be as authentic to a real-world situation as possible. If you are going to be asking your organization to spend money on training, for example, your justificatio ...

Problem 1somewhere in the milky way galaxy a class of 2000

Problem 1 Somewhere in the Milky Way Galaxy, a class of 2,000 students took a course in Astronomy.  The first exam scores and the final exam percentage reached earth, but transmission broke off after only a dozen student ...

What was abraham lincolns view of slavery from the 1840s

What was Abraham Lincoln's view of slavery from the 1840s into the late 1850s, and how did it evolve? How did secession come about, and where did the sentiments for it originate? where did the sentiments for it originate ...

If the results of a t-test lead you to reject the null

If the results of a t-test lead you to reject the null hypothesis, what is the probability that you have made a Type II error?

A random sample of the price of gasoline from 40 gas

A random sample of the price of gasoline from 40 gas stations in a region gives the statistics below. Complete parts a) and b). ybar = $3.79, s = $0.27 a) Find a 95% confidence interval for the mean price of regular gaso ...

  • 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

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

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