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 bakery was taken to court for selling loaves of bread

A bakery was taken to court for selling loaves of bread that were underweight. These loaveswere advertised as weighing 24 ounces. In its defense, the bakery claimed that the advertisedweight was meant to imply not that e ...

The following tables depict the preferences of three

The following tables depict the preferences of three universities regarding a set of applicants, and the preferences of the applicants regarding the universities. Every university also has a specified quota for the numbe ...

Assignment- sampling distributions and estimation

Assignment- Sampling Distributions and Estimation; Hypothesis Testing 1. In a simple random sample from a population of several hundred that's approximately normally distributed, the following data values were collected. ...

1 why must a different t-test be used for matched-subjects

1. Why must a different t-test be used for matched-subjects and within-subjects designs than for randomized groups designs? 2. What was W. S. Gosset's contribution to behavioral research?

Do men and women select different breakfasts the breakfasts

Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at a popular breakfast place is shown inTable 11.55. Conduct a test for homogeneity at a 5% level of significance. F ...

For each of the following three cases explain i the

For each of the following three cases, explain (i) the hypotheses with a plausible definition of p1 and p2, (ii) whether or not the data indicate practical significance (use common sense and/or general knowledge), and (i ...

The state police are trying to crack down on speeding on a

The State Police are trying to crack down on speeding on a particular portion of the Massachusetts Turnpike. To aid in this pursuit, they have purchased a new radar gun that promises greater consistency and reliability. ...

A ski gondola carries skiers to the top of a mountain it

A ski gondola carries skiers to the top of a mountain. It bears a plaque stating that the maximum capacity is 14 people or 2324 lb. That capacity will be exceeded if 14 people have weights with a mean greater than 2324 l ...

One study based on responses from 1013 teenagers concluded

One study based on responses from 1013 teenagers concluded that 42% cite grades as their greatest source of pressure. Use .05 significance level to test the claim that fewer than half of all teenagers in the population f ...

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 ...

  • 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