Ask Question, Ask an Expert


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.

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

My variables are 1 sat scores between 600- 2400 2 gender 3

My variables are: 1. SAT scores between 600- 2400, 2. Gender, 3. Type of college attended, 1 for public university, 2 for private university, 4. Type of degree held: 1 for bachelors, 2 for masters, 3 for PHD or doctorate ...

Consider the following game a fair die is rolled if the

Consider the following game. A fair die is rolled. If the outcome is 4, then the game ends and you win 0. If the outcome is not 4, then you have the option of either stopping the game and receiving an amount equal to tha ...

The price of a railroad car purchased by rio corporation

The price of a railroad car purchased by Rio Corporation was $78,600. Using the MACRS method, calculate the annual depreciation for year 3. (Round all dollar amounts to the nearest cent) $34,371.78 $19,249.14 $13,747.14 ...

1 what is a factorial design why are factorial designs used

1. What is a factorial design? Why are factorial designs used more frequently than one-way designs? 2. How many independent variables are involved in a 3 x 3 factorial design? How many levels are there of each variable? ...

250 -300 wordsexplain the history behind the black soldier

250 -300 words Explain the history behind the Black Soldier of the Civil War In this forum look beyond the book for information on specific units, soldiers and even the reasons for why Lincoln allowed the African America ...

Given a stable matching of n men and n womena is it

Given a stable matching of n men and n women, (a) Is it possible to find three pairs such that if the matching among them is changed, each man will be matched to a woman whom he prefers, and each woman will be matched to ...

Jullian was curious if regular excise really helps weight

Jullian was curious if regular excise really helps weight loss,she decided to perform a hypothesis test. A random sample of 5 Kansas State students was chosen. The students took a 30-minute exercise every day for 6 month ...

Question the mean weight 10 randomly selected newborn

Question: The mean weight 10 randomly selected newborn babies at a local hospital was found to be 7.14 and the standard deviation was found to be 0.87 lbs. If the weights of newborn babies is approximately normally distr ...

1 what are the most common causes of missing data and what

1. What are the most common causes of missing data, and what difficulties do missing data cause? What can be done if data are missing? 2. Comment on the circumstances under which a researcher would consider deleting one ...

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 ...

  • 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