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

A random variable x has a gaussian pdf with mean 5 and unit

A random variable, X, has a Gaussian PDF with mean 5 and unit variance. We measure 10 independent samples of the random variable. (a) Determine the expected value of the sample mean. (b) Determine the variance of the sam ...

Letnbsp x t be a wss random process with mean and

Let  X (t) be a WSS random process with mean and autocorrelation function      . Consider forming a new process  according to (a) Find the mean function oF (b) Find the autocorrelation function of

Estimation of range and bearing angle -1 bearing-angle

Estimation of Range and Bearing Angle - 1. Bearing-angle estimation A passive detection system consists of two acoustic receivers. The separation between the receivers is 2.5 meters. The acoustic propagation speed in air ...

Let xy andnbsp z be a set of independent zero-mean

Let X,Y and  Z be a set of independent, zero-mean, unit-variance, Gaussian random variables. Form a new set of random variables according to (a) Find the three one-dimensional marginal PDFs  (b) Find the three two-dimens ...

A random waveform is generated as follows the waveform

A random waveform is generated as follows. The waveform starts at 0 voltage. Every seconds, the waveform switches to a new voltage level. If the waveform is at a voltage level of 0 volts, it may move to +1 volt with prob ...

A player engages in the following dice tossing game craps

A player engages in the following dice tossing game ("craps"). Two dice are rolled. If the player rolls the dice such that the sum is either 7 or 11, he immediately wins the game. If the sum is 2, 3, or 12, he immediatel ...

Let a random process consist of a sequence of pulses with

Let a random process consist of a sequence of pulses with the following properties: (i) the pulses are rectangular of equal duration,? (with no "dead" space in between pulses), (ii) the pulse amplitudes are equally likel ...

The three letters c a and t represent the states of a

The three letters C, A, and T represent the states of a word-generating system. Let the initial state probability vector be (1/3 1/3 1/3) for the three letters, respectively. The transition matrix is given as What is the ...

Why do so many womens lives seem to be divided between

Why do so many women's lives seem to be divided between working for money or goods, and homemaking during the period 1800-1860?

Use the characteristic function or the moment-generating

Use the characteristic function (or the moment-generating function or the probabilitygenerating function) to show that a Poisson PMF is the limit of a binomial PMF with n approaching infinity and p approaching zero in su ...

  • 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

A cola-dispensing machine is set to dispense 9 ounces of

A cola-dispensing machine is set to dispense 9 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manuf

What is marketingbullwhat is marketing think back to your

What is Marketing? • "What is marketing"? Think back to your impressions before you started this class versus how you

Question -your client david smith runs a small it

QUESTION - Your client, David Smith runs a small IT consulting business specialising in computer software and techno

Inspection of a random sample of 22 aircraft showed that 15

Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise

Effective hrmquestionhow can an effective hrm system help

Effective HRM Question How can an effective HRM system help facilitate the achievement of an organization's strate