Research Methods for Behavioral Sciences - With MindTap
6th Edition
ISBN: 9781337754989
Author: GRAVETTER
Publisher: CENGAGE L
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Chapter 13, Problem 4E
Describe how time,
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A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
a) Calculate the percentage of components that get rejected.
b) In a manufacturing run of 1000 units, how many are expected to be rejected?
c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
5. Let X and Y be independent random variables and let the superscripts denote
symmetrization (recall Sect. 3.6). Show that
(X + Y) X+ys.
8. Suppose that the moments of the random variable X are constant, that is, suppose
that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.
Chapter 13 Solutions
Research Methods for Behavioral Sciences - With MindTap
Ch. 13.1 - Describe the purpose of the descriptive research...Ch. 13.2 - Describe the two general problems (observer...Ch. 13.2 - Describe the three techniques used to quantify...Ch. 13.2 - Prob. 4LOCh. 13.2 - Describe the general characteristics of the...Ch. 13.3 - Describe the general characteristics of the survey...Ch. 13.3 - Define open-ended, restricted, and rating-scale...Ch. 13.3 - Describe the four methods for administering a...Ch. 13.4 - Describe the general characteristics of the case...Ch. 13 - In addition to the key words, you should also be...
Ch. 13 - In this chapter, we introduced the observational...Ch. 13 - What is the purpose for determining a set of...Ch. 13 - Describe how time, event, or individual sampling...Ch. 13 - Define content analysis, and explain how it is...Ch. 13 - Explain the distinction between naturalistic...Ch. 13 - Explain the distinction between naturalistic...Ch. 13 - What is the general advantage of using the survey...Ch. 13 - Each of the following research studies uses a...Ch. 13 - Define the three types of survey questions (open...Ch. 13 - Prob. 11ECh. 13 - Most research in the behavioral sciences involves...
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- 3. Let X1, X2,..., X, be independent, Exp(1)-distributed random variables, and set V₁₁ = max Xk and W₁ = X₁+x+x+ Isk≤narrow_forward7. Consider the function (t)=(1+|t|)e, ER. (a) Prove that is a characteristic function. (b) Prove that the corresponding distribution is absolutely continuous. (c) Prove, departing from itself, that the distribution has finite mean and variance. (d) Prove, without computation, that the mean equals 0. (e) Compute the density.arrow_forward1. Show, by using characteristic, or moment generating functions, that if fx(x) = ½ex, -∞0 < x < ∞, then XY₁ - Y2, where Y₁ and Y2 are independent, exponentially distributed random variables.arrow_forward
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