Statistics for Engineers and Scientists
Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Chapter 10.3, Problem 3E
To determine

Whether the stated information is sufficient to obtain the 3σ control limits for p chart, otherwise state the additional information required to obtain the limits.

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(a) Test the hypothesis. Consider the hypothesis test Ho = : against H₁o < 02. Suppose that the sample sizes aren₁ = 7 and n₂ = 13 and that $² = 22.4 and $22 = 28.2. Use α = 0.05. Ho is not ✓ rejected. 9-9 IV (b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known. Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null hypothesis, 40 = 0. What level of type II error would you recommend here? Round your answer to four decimal places (e.g. 98.7654). Use a = 0.05. β = i What sample size would be required? Assume the sample sizes are to be equal.…
= Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ = 15 and n₂ = 15, that x1 = 4.7 and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use απ 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume that α = 0.05. (a) The null hypothesis is 98.7654). rejected. The P-value is 0.0008 (b) The power is 0.94 . Round your answer to four decimal places (e.g. Round your answer to two decimal places (e.g. 98.76). (c) n₁ = n2 = 1 . Round your answer to the nearest integer.

Chapter 10 Solutions

Statistics for Engineers and Scientists

Ch. 10.2 - A process has mean 12 and standard deviation 3....Ch. 10.2 - A process has mean 8 and standard deviation 2. The...Ch. 10.2 - A process is monitored by taking samples at...Ch. 10.2 - Prob. 8ECh. 10.2 - Repeat Exercise 8, using the S chart in place of...Ch. 10.2 - Prob. 10ECh. 10.2 - Repeat Exercise 10, using the S chart in place of...Ch. 10.2 - Copper wires are coated with a thin plastic...Ch. 10.2 - Repeat Exercise 12, using the S chart in place of...Ch. 10.3 - Prob. 1ECh. 10.3 - The target fill weight for a box of cereal is 350...Ch. 10.3 - Prob. 3ECh. 10.3 - Refer to Exercise 3. In the last 50 samples, there...Ch. 10.3 - A newly designed quality-control program for a...Ch. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Each hour, a 10 m2 section of fabric is inspected...Ch. 10.4 - Refer to Exercise 3 in Section 10.2. a. Delete any...Ch. 10.4 - Refer to Exercise 8 in Section 10.2. a. Delete any...Ch. 10.4 - Prob. 3ECh. 10.4 - Refer to Exercise 12 in Section 10.2.ss a. Delete...Ch. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.5 - The thickness specification for aluminum sheets is...Ch. 10.5 - The specification for the diameters of ball...Ch. 10.5 - Refer to Exercise 2. a. To what value should the...Ch. 10.5 - Refer to Exercise 1. a. To what value should the...Ch. 10.5 - A process has a process capability index of Cp =...Ch. 10 - Prob. 1SECh. 10 - Prob. 2SECh. 10 - Prob. 3SECh. 10 - Prob. 4SECh. 10 - Prob. 5SECh. 10 - Prob. 6SECh. 10 - To set up a p chart to monitor a process that...
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