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4.21. The following sample data was obtained. What is the expected ±3 sigma spread of the process assuming normal distribution? 16.21 16.23 16.16 16.14 16.16 16.16 16.11 16.08 16.16 16.18 16.15 16.15 16.20 16.18 16.13 16.14 16.17 16.22 16.15 16.15 16.14 16.20 16.13 16.10 16.13 16.17 16.10 16.17 16.20 16.18 a. 16.158±0.108 b. 16.200 ± 0.072 c. 16.173 ± 0.036 d. 16.158 ± 1.080

4.21. The following sample data was obtained. What is the expected ±3 sigma spread of the process assuming normal distribution? 16.21 16.23 16.16 16.14 16.16 16.16 16.11 16.08 16.16 16.18 16.15 16.15 16.20 16.18 16.13 16.14 16.17 16.22 16.15 16.15 16.14 16.20 16.13 16.10 16.13 16.17 16.10 16.17 16.20 16.18 a. 16.158±0.108 b. 16.200 ± 0.072 c. 16.173 ± 0.036 d. 16.158 ± 1.080

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question 4.21
4.21. The following sample data was obtained. What is the expected ±3 sigma spread of the process, assuming normal distribution? 16.21 16.23 16.16 16.14 16.10 16.16 16.16 16.11 16.08 16.13 16.16 16.18 16.15 16.15 16.17 16.20 16.18 16.13 16.14 16.10 16.17 16.22 16.15 16.15 16.17 16.14 16.20 16.13 16.20 16.18 a. 16.158 ± 0.108 b. 16.200 ± 0.072 c. 16.173 ± 0.036 d. 16.158 ± 1.080 4.22. A distribution for time-to-failure processes characterized by a failure rate that does not vary with time is: a. Weibull b. Gemma c. Lognormal d. Exponential 4.23. Which of the following indicates an out-of- control condition? a. A trend of 5 points in an upward or downward direction b. 5 consecutive points either above or below the center line c. 2 of 3 consecutive points outside the 2- sigma warning limits d. No points outside the 3-sigma limits 4.24. A reliability test was terminated after a combined total of 171 device-hours based upon a pre-established time terminated plan. An estimate of mean-time-to-failure (8) of 57 hours was obtained. The lower 95 percent confidence bound on the true population mean-time-to- failure is: a. 125 hours b. 22 hours c. 27 hours d. 11 hours 4.25. In the binomial expression: a. The sum of the exponents of each term after expansion is equal to the sample size b. The sum of the coefficients of each term after expansion is equal to the sample size c. The sum of the exponents of all the terms after expansion is equal to the sample size d. The sum of the exponents after expansion has no relation to the sample size a. 35 b. 42 4.26. A music group has 7 members. How many subgroups of 4 members can be formed from the music group? a. 63% b. 37% 4.27. The MTBF of equipment is 5000 hours. Assuming a constant failure rate, its chance to fail in 5000 hours of operation is: a. 0.01 b. 0.05 4.29. Given: Page < c. 210 d. 840 4.28. If the probability density function of some measurements is found to be 0.02X for Xs in the interval of 0 to 10, what is the probability that a measurement will be between 4 and 5? f(x) = a. 5,5 b. 5, 1 3 > c. 100% d. 50% a. 0.998 b. 0.9998 c. 0.9999 d. 0.999 c. 0.09 d. 0.20 1-2 -e 5 for x ≥ 0 Then X has a mean and a standard deviation of: c. 1,5 d. 0, 1 4.30. The length of life of a transistor is exponentially distributed with a failure rate of 0.002 failures per 10,000 hours. The reliability of the transistor for 1,000 hours is:
Transcribed Image Text:4.21. The following sample data was obtained. What is the expected ±3 sigma spread of the process, assuming normal distribution? 16.21 16.23 16.16 16.14 16.10 16.16 16.16 16.11 16.08 16.13 16.16 16.18 16.15 16.15 16.17 16.20 16.18 16.13 16.14 16.10 16.17 16.22 16.15 16.15 16.17 16.14 16.20 16.13 16.20 16.18 a. 16.158 ± 0.108 b. 16.200 ± 0.072 c. 16.173 ± 0.036 d. 16.158 ± 1.080 4.22. A distribution for time-to-failure processes characterized by a failure rate that does not vary with time is: a. Weibull b. Gemma c. Lognormal d. Exponential 4.23. Which of the following indicates an out-of- control condition? a. A trend of 5 points in an upward or downward direction b. 5 consecutive points either above or below the center line c. 2 of 3 consecutive points outside the 2- sigma warning limits d. No points outside the 3-sigma limits 4.24. A reliability test was terminated after a combined total of 171 device-hours based upon a pre-established time terminated plan. An estimate of mean-time-to-failure (8) of 57 hours was obtained. The lower 95 percent confidence bound on the true population mean-time-to- failure is: a. 125 hours b. 22 hours c. 27 hours d. 11 hours 4.25. In the binomial expression: a. The sum of the exponents of each term after expansion is equal to the sample size b. The sum of the coefficients of each term after expansion is equal to the sample size c. The sum of the exponents of all the terms after expansion is equal to the sample size d. The sum of the exponents after expansion has no relation to the sample size a. 35 b. 42 4.26. A music group has 7 members. How many subgroups of 4 members can be formed from the music group? a. 63% b. 37% 4.27. The MTBF of equipment is 5000 hours. Assuming a constant failure rate, its chance to fail in 5000 hours of operation is: a. 0.01 b. 0.05 4.29. Given: Page < c. 210 d. 840 4.28. If the probability density function of some measurements is found to be 0.02X for Xs in the interval of 0 to 10, what is the probability that a measurement will be between 4 and 5? f(x) = a. 5,5 b. 5, 1 3 > c. 100% d. 50% a. 0.998 b. 0.9998 c. 0.9999 d. 0.999 c. 0.09 d. 0.20 1-2 -e 5 for x ≥ 0 Then X has a mean and a standard deviation of: c. 1,5 d. 0, 1 4.30. The length of life of a transistor is exponentially distributed with a failure rate of 0.002 failures per 10,000 hours. The reliability of the transistor for 1,000 hours is:
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