Explanation Given: Sample number 1 2 3 4 5 6 3 −4 2 5 4 0 −5 2 0 1 −1 2 2 1 1 −4 −2 −6 Formula used: Mean is the ratio between the sum of observations and the number of observations. The formula for mean is given by x ¯ = x 1 + x 2 + ⋯ x n n . That is, x ¯ = ∑ x n . Standard deviation= variance The average of the squared difference from the mean is known as variance. That is given by, s 2 = ∑ x 2 − n x ¯ 2 n − 1 where x ¯ is the mean. Calculation: Find the mean as follows. Mean for first sample of three measurements is, x ¯ 1 = 3 − 5 + 2 3 = 0 Mean for second sample of three measurements is, x ¯ 2 = − 4 + 2 + 1 3 = − 1 3 = − 0.33 Mean for third sample of three measurements is, x ¯ 3 = 2 + 0 + 1 3 = 3 3 = 1 Mean for fourth sample of three measurements is, x ¯ 4 = 5 + 1 − 4 3 = 2 3 = 0.67 Mean for fifth sample of three measurements is, x ¯ 5 = 4 − 1 − 2 3 = 1 3 = 0.33 Mean for sixth sample of three measurements is, x ¯ 6 = 0 + 2 − 6 3 = − 4 3 = − 1.67 Compute the value of ∑ x 2 to find variance. Sample number ∑ x 2 1 3 −5 2 38 2 −4 2 1 21 3 2 0 1 5 4 5 1 −4 42 5 4 −1 −2 21 6 0 1 −6 37 Table 1 Take x ¯ values from (a) to find the standard deviation. Standard deviation for first sample of three measurements is, s 1 2 = 38 − ( 3 ) ( 0 ) 2 3 − 1 = 38 − 0 2 = 38 2 = 19 s 1 2 = 19 The standard deviation is calculated as follows, s 1 = 19 ≈ 4.36 Standard deviation for second sample of three measurements is, s 2 2 = 21 − ( 3 ) ( − 0.33 ) 2 3 − 1 = 21 − ( 3 ) ( 0

Finite Mathematics and Calculus with Applications (10th Edition)

10th Edition

ISBN: 9780321979407

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Chapter 9.2, Problem 28E

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Whether the given process is out of control.

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Chapter 9.2, Problem 27E

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Chapter 9 Solutions

Finite Mathematics and Calculus with Applications (10th Edition)

Ch. 9.1 - Find the mean of the following data: 12, 17, 21,...Ch. 9.1 - Prob. 2YT Ch. 9.1 - Prob. 3YT Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E

Ch. 9.1 - Prob. 8E Ch. 9.1 - Find the mean for each list of numbers. 9. 30,200;...Ch. 9.1 - Prob. 10E Ch. 9.1 - Find the mean for each list of numbers. 11. 9.4,...Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Find the mean for the data in Exercise 1 from the...Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.1 - For grouped data, the modal class is the interval...Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - Prob. 42E Ch. 9.1 - New Housing Sales The number (in thousands) of new...Ch. 9.1 - Prob. 44E Ch. 9.1 - Prob. 45E Ch. 9.1 - Temperature The following table gives the number...Ch. 9.1 - Prob. 47E Ch. 9.1 - Olympics The number of nations participating in...Ch. 9.1 - Prob. 49E Ch. 9.1 - Prob. 50E Ch. 9.1 - Prob. 51E Ch. 9.1 - SAT I: Reasoning Test Given the following sequence...Ch. 9.2 - Prob. 1YT Ch. 9.2 - Prob. 2YT Ch. 9.2 - Prob. 1WE Ch. 9.2 - Prob. 2WE Ch. 9.2 - Prob. 1E Ch. 9.2 - Prob. 2E Ch. 9.2 - Find the range and standard deviation for each set...Ch. 9.2 - Find the range and standard deviation for each set...Ch. 9.2 - Find the range and standard deviation for each set...Ch. 9.2 - Find the range and standard deviation for each set...Ch. 9.2 - Find the range and standard deviation for each set...Ch. 9.2 - Find the range and standard deviation for each set...Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Chebyshevs theorem states that for any set of...Ch. 9.2 - Prob. 14E Ch. 9.2 - Prob. 15E Ch. 9.2 - Chebyshevs theorem states that for any set of...Ch. 9.2 - Prob. 17E Ch. 9.2 - Prob. 18E Ch. 9.2 - Prob. 19E Ch. 9.2 - Prob. 20E Ch. 9.2 - Prob. 21E Ch. 9.2 - Prob. 22E Ch. 9.2 - Prob. 23E Ch. 9.2 - Prob. 24E Ch. 9.2 - Prob. 25E Ch. 9.2 - Prob. 26E Ch. 9.2 - Prob. 27E Ch. 9.2 - Prob. 28E Ch. 9.2 - Prob. 29E Ch. 9.2 - Prob. 30E Ch. 9.2 - Prob. 31E Ch. 9.2 - Prob. 32E Ch. 9.2 - Prob. 33E Ch. 9.2 - Prob. 34E Ch. 9.2 - Prob. 35E Ch. 9.2 - Prob. 36E Ch. 9.2 - Prob. 37E Ch. 9.2 - Prob. 38E Ch. 9.2 - Prob. 39E Ch. 9.2 - Box Office ReceiptsThe table below lists the 20...Ch. 9.2 - CookiesMarie Revak and Jihan Williams performed an...Ch. 9.3 - Find the following areas under the standard normal...Ch. 9.3 - Prob. 2YT Ch. 9.3 - Prob. 3YT Ch. 9.3 - Prob. 4YT Ch. 9.3 - The peak in a normal curve occurs directly above...Ch. 9.3 - The total area under a normal curve (above the...Ch. 9.3 - Prob. 3E Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Prob. 7E Ch. 9.3 - Prob. 8E Ch. 9.3 - Prob. 9E Ch. 9.3 - Prob. 10E Ch. 9.3 - Prob. 11E Ch. 9.3 - Prob. 12E Ch. 9.3 - Find the percent of the total area under the...Ch. 9.3 - Prob. 14E Ch. 9.3 - Prob. 15E Ch. 9.3 - Prob. 16E Ch. 9.3 - Find a z-score satisfying the following...Ch. 9.3 - Prob. 18E Ch. 9.3 - Prob. 19E Ch. 9.3 - Prob. 20E Ch. 9.3 - Prob. 21E Ch. 9.3 - Prob. 22E Ch. 9.3 - Prob. 23E Ch. 9.3 - Prob. 24E Ch. 9.3 - Prob. 25E Ch. 9.3 - Prob. 26E Ch. 9.3 - Prob. 27E Ch. 9.3 - Prob. 28E Ch. 9.3 - Quality ControlA box of oatmeal must contain 16...Ch. 9.3 - Quality ControlA box of oatmeal must contain 16...Ch. 9.3 - Prob. 31E Ch. 9.3 - Prob. 32E Ch. 9.3 - Prob. 33E Ch. 9.3 - Prob. 34E Ch. 9.3 - Quality ControlThe chickens at Colonel Thompsons...Ch. 9.3 - Prob. 36E Ch. 9.3 - Prob. 37E Ch. 9.3 - Prob. 38E Ch. 9.3 - Annual BonusesSalespeople of a large corporation...Ch. 9.3 - Prob. 40E Ch. 9.3 - Prob. 41E Ch. 9.3 - Prob. 42E Ch. 9.3 - Prob. 43E Ch. 9.3 - Prob. 44E Ch. 9.3 - Life SpansAccording to actuarial tables, life...Ch. 9.3 - Prob. 46E Ch. 9.3 - Prob. 47E Ch. 9.3 - Prob. 48E Ch. 9.3 - EducationThe grading system known as grading on...Ch. 9.3 - Prob. 50E Ch. 9.3 - Prob. 51E Ch. 9.3 - Prob. 53E Ch. 9.3 - Prob. 54E Ch. 9.3 - Prob. 55E Ch. 9.3 - Prob. 56E Ch. 9.3 - Prob. 57E Ch. 9.3 - Prob. 58E Ch. 9.3 - Prob. 59E Ch. 9.3 - Prob. 60E Ch. 9.3 - Prob. 61E Ch. 9.3 - KenThe same researchers from Exercise 61 wondered...Ch. 9.4 - Suppose a die is rolled 12 times. 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Whether the given process is out of control.

Solution Summary: The author explains the formula used to determine whether the given process is out of control. The average of the squared difference from the mean is known as variance.

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Chapter 9 Solutions