To state null and alternative hypotheses in terms of population means and what test would we typically use for these hypotheses and what conditions does this test require.

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Answer 1

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Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Chapter 27, Problem 27.10AYK

(a)

To determine

To state null and alternative hypotheses in terms of population means and what test would we typically use for these hypotheses and what conditions does this test require.

(b)

To determine

To state null and alternative hypotheses in terms of population medians and what test would we typically use for these hypotheses and what conditions does this test require.

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Table 5: Measurement Data for Question 9 Part Number Op-1, M-1 Op-1, M-2 | Op-2, M-1 Op-2, M-2 | Op-3, M-1 Op-3, M-2 1 21 20 20 20 19 21 2 24 23 24 24 23 24 3 4 5 6 7 8 9 10 11 21 12 8222332 201 21 20 22 20 22 27 27 28 26 27 28 19 18 19 21 24 21 22 19 17 18 24 23 25 25 23 26 20 20 18 19 17 13 23 25 25 2 3 3 3 3 2 3 18 18 21 21 23 22 24 22 20 19 23 24 25 24 20 21 19 18 25 25 14 24 24 23 25 24 15 29 30 30 28 31 16 26 26 25 26 25 17 20 20 19 20 20 843882388 20 18 25 20 19 25 25 30 27 20 18 19 21 19 19 21 23 19 25 26 25 24 25 25 20 19 19 18 17 19 17 Question 9 A measurement systems experiment involving 20 parts, three operators (Op-1, Op-2, Op-3), and two measure- ments (M-1, M-2) per part is shown in Table 5. (a) Estimate the repeatability and reproducibility of the gauge. (b) What is the estimate of total gauge variability?" (c) If the product specifications are at LSL = 6 and USL 60, what can you say about gauge capability?

Question 5 A fraction nonconforming control chart with center line 0.10, UCL = 0.19, and LCL = 0.01 is used to control a process. (a) If three-sigma limits are used, find the sample size for the control charte 2 (b) Use the Poisson approximation to the binomial to find the probability of type I error. (c) Use the Poisson approximation to the binomial to find the probability of type II error if the process fraction defective is actually p = 0.20.

Question 8 Ten parts are measured three times by the same operator in a gauge capability study. The data are shown in Table 4. (a) Describe the measurement error that results from the use of this gauge. I (b) Estimate total variability and product variability. (c) What percentage of total variability is due to the gauge? (d) If specifications on the part are at 100±15, find the P/T ratio for this gauge. Comment on the adequacy of the gauge. 3 Table 4: Measurement Data for Question 8 Part Number Measurement 1 Measurement 2 Measurement 3 1 2 100 95 101 100 93 97 3 101 103 100 4 96 95 97 5 98 98 96 6 99 98 98 7889 95 97 98 100 99 98 100 100 97 10 100 98 98 99

Answer 2

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Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Chapter 27, Problem 27.10AYK

(a)

To determine

To state null and alternative hypotheses in terms of population means and what test would we typically use for these hypotheses and what conditions does this test require.

(b)

To determine

To state null and alternative hypotheses in terms of population medians and what test would we typically use for these hypotheses and what conditions does this test require.

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Answer 3

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Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Chapter 27, Problem 27.10AYK

(a)

To determine

To state null and alternative hypotheses in terms of population means and what test would we typically use for these hypotheses and what conditions does this test require.

(b)

To determine

To state null and alternative hypotheses in terms of population medians and what test would we typically use for these hypotheses and what conditions does this test require.

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Check out a sample textbook solution

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Answer 4

Question

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Chapter 27, Problem 27.10AYK

(a)

To determine

To state null and alternative hypotheses in terms of population means and what test would we typically use for these hypotheses and what conditions does this test require.

(b)

To determine

To state null and alternative hypotheses in terms of population medians and what test would we typically use for these hypotheses and what conditions does this test require.

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Answer 5

Chapter 27, Problem 27.10AYK

(a)

To determine

To state null and alternative hypotheses in terms of population means and what test would we typically use for these hypotheses and what conditions does this test require.

(b)

To determine

To state null and alternative hypotheses in terms of population medians and what test would we typically use for these hypotheses and what conditions does this test require.

Answer 6

Chapter 27, Problem 27.10AYK

(a)

To determine

To state null and alternative hypotheses in terms of population means and what test would we typically use for these hypotheses and what conditions does this test require.

Answer 7

Chapter 27, Problem 27.10AYK

(a)

To determine

To state null and alternative hypotheses in terms of population means and what test would we typically use for these hypotheses and what conditions does this test require.

Answer 8

(b)

To determine

To state null and alternative hypotheses in terms of population medians and what test would we typically use for these hypotheses and what conditions does this test require.

Answer 9

(b)

To determine

To state null and alternative hypotheses in terms of population medians and what test would we typically use for these hypotheses and what conditions does this test require.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 27 - Prob. 27.1AYK Ch. 27 - Prob. 27.2AYK Ch. 27 - Prob. 27.3AYK Ch. 27 - Prob. 27.4AYK Ch. 27 - Prob. 27.5AYK Ch. 27 - Prob. 27.6AYK Ch. 27 - Prob. 27.7AYK Ch. 27 - Prob. 27.8AYK Ch. 27 - Prob. 27.9AYK Ch. 27 - Prob. 27.10AYK

To state null and alternative hypotheses in terms of population means and what test would we typically use for these hypotheses and what conditions does this test require.

To state null and alternative hypotheses in terms of population means and what test would we typically use for these hypotheses and what conditions does this test require.

To state null and alternative hypotheses in terms of population medians and what test would we typically use for these hypotheses and what conditions does this test require.

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Chapter 27 Solutions