Probability and Statistics for Engineering and the Sciences

9th Edition

ISBN: 9781305251809

Author: Jay L. Devore

Publisher: Cengage Learning

See similar textbooks

Videos

Textbook Question

Chapter 16.2, Problem 8E

The table below gives data on moisture content for specimens of a certain type of fabric. Determine control limits for a chart with center line at height 13.00 based on σ = .600, construct the control chart, and comment on its appearance.

Sample No.	Moisture-Content Observations					x ¯	s	Range
1	12.2	12.1	13.3	13.0	13.0	12.72	.536	1.2
2	12.4	13.3	12.8	12.6	12.9	12.80	.339	.9
3	12.9	12.7	14.2	12.5	12.9	13.04	.669	1.7
4	13.2	13.0	13.0	12.6	13.9	13.14	.477	1.3
5	12.8	12.3	12.2	13.3	12.0	12.52	.526	1.3
6	13.9	13.4	13.1	12.4	13.2	13.20	.543	1.5
7	12.2	14.4	12.4	12.4	12.5	12.78	.912	2.2
8	12.6	12.8	13.5	13.9	13.1	13.18	.526	1.3
9	14.6	13.4	12.2	13.7	12.5	13.28	.963	2.4
10	12.8	12.3	12.6	13.2	12.8	12.74	.329	.9
11	12.6	13.1	12.7	13.2	12.3	12.78	.370	.9
12	13.5	12.3	12.8	13.1	12.9	12.92	.438	1.2
13	13.4	13.3	12.0	12.9	13.1	12.94	.559	1.4
14	13.5	12.4	13.0	13.6	13.4	13.18	.492	1.2
15	12.3	12.8	13.0	12.8	13.5	12.88	.432	1.2
16	12.6	13.4	12.1	13.2	13.3	12.92	.554	1.3
17	12.1	12.7	13.4	13.0	13.9	13.02	.683	1.8
18	13.0	12.8	13.0	13.3	13.1	13.04	.182	.5
19	12.4	13.2	13.0	14.0	13.1	13.14	.573	1.6
20	12.7	12.4	12.4	13.9	12.8	12.84	.619	1.5
21	12.6	12.8	12.7	13.4	13.0	12.90	.316	.8
22	12.7	13.4	12.1	13.2	13.3	12.94	.541	1.3

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 16.2, Problem 7E

Chapter 16.2, Problem 9E

Students have asked these similar questions

2 (VaR and ES) Suppose X1 are independent. Prove that ~ Unif[-0.5, 0.5] and X2 VaRa (X1X2) < VaRa(X1) + VaRa (X2). ~ Unif[-0.5, 0.5]

8 (Correlation and Diversification) Assume we have two stocks, A and B, show that a particular combination of the two stocks produce a risk-free portfolio when the correlation between the return of A and B is -1.

9 (Portfolio allocation) Suppose R₁ and R2 are returns of 2 assets and with expected return and variance respectively r₁ and 72 and variance-covariance σ2, 0%½ and σ12. Find −∞ ≤ w ≤ ∞ such that the portfolio wR₁ + (1 - w) R₂ has the smallest risk.

Chapter 16 Solutions

Probability and Statistics for Engineering and the Sciences

Ch. 16.1 - A control chart for thickness of rolled-steel...Ch. 16.1 - Refer to Exercise 1 and suppose the ten most...Ch. 16.1 - Suppose a control chart is constructed so that the...Ch. 16.1 - A cork intended for use in a wine bottle is...Ch. 16.1 - If a process variable is normally distributed, in...Ch. 16.2 - In the case of known and , what control limits...Ch. 16.2 - Consider a 3-sigma control chart with a center...Ch. 16.2 - The table below gives data on moisture content for...Ch. 16.2 - Refer to the data given in Exercise 8, and...Ch. 16.2 - When installing a bath faucet, it is important to...

Ch. 16.2 - The accompanying table gives sample means and...Ch. 16.2 - The accompanying table gives sample means and...Ch. 16.2 - Prob. 13E Ch. 16.2 - Prob. 14E Ch. 16.2 - Prob. 15E Ch. 16.3 - A manufacturer of dustless chalk instituted a...Ch. 16.3 - Subgroups of power supply units are selected once...Ch. 16.3 - Prob. 18E Ch. 16.3 - The accompanying table gives sample means and...Ch. 16.3 - Prob. 20E Ch. 16.4 - On each of the previous 25 days, 100 electronic...Ch. 16.4 - A sample of 200 ROM computer chips was selected on...Ch. 16.4 - Prob. 23E Ch. 16.4 - Prob. 24E Ch. 16.4 - Prob. 25E Ch. 16.4 - Prob. 26E Ch. 16.4 - Prob. 27E Ch. 16.4 - Prob. 28E Ch. 16.5 - Prob. 29E Ch. 16.5 - Prob. 30E Ch. 16.5 - The standard deviation of a certain dimension on...Ch. 16.5 - Prob. 32E Ch. 16.6 - Consider the single-sample plan with c = 2 and n =...Ch. 16.6 - A sample of 50 items is to be selected from a...Ch. 16.6 - Prob. 35E Ch. 16.6 - Develop a single-sample plan for which AQL = .02...Ch. 16.6 - Consider the double-sampling plan for which both...Ch. 16.6 - Prob. 38E Ch. 16.6 - Refer to Example 16.11, in which a single-sample...Ch. 16.6 - Consider the single-sample plan that utilizes n =...Ch. 16 - Observations on shear strength for 26 subgroups of...Ch. 16 - The number of scratches on the surface of each of...Ch. 16 - The following numbers are observations on tensile...Ch. 16 - Prob. 44SE Ch. 16 - Prob. 46SE

Knowledge Booster

$Statistics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.