To construct: The x ¯ chart for the energy consumption. To check: Whether the process is in statistical control or not and also identify which of the three out-of-control criteria lead to rejection of a statistically stable mean , if the process is not in statistical control.

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Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 14, Problem 3RE

To determine

To construct: The x¯ chart for the energy consumption.

To check: Whether the process is in statistical control or not and also identify which of the three out-of-control criteria lead to rejection of a statistically stable mean, if the process is not in statistical control.

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20 km, because GISS Worksheet 10 Jesse runs a small business selling and delivering mealie meal to the spaza shops. He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of mealle meal he delivers. The table below helps him to calculate what to charge his customers. 10 20 30 40 50 Packets of mealie meal (m) Total costs in Rands 80 235 390 545 700 855 (c) 10.1. Define the following terms: 10.1.1. Independent Variables 10.1.2. Dependent Variables 10.2. 10.3. 10.4. 10.5. Determine the independent and dependent variables. Are the variables in this scenario discrete or continuous values? Explain What shape do you expect the graph to be? Why? Draw a graph on the graph provided to represent the information in the table above. TOTAL COST OF PACKETS OF MEALIE MEAL 900 800 700 600 COST (R) 500 400 300 200 100 0 10 20 30 40 60 NUMBER OF PACKETS OF MEALIE MEAL

Let X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).

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Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 14, Problem 3RE

To determine

To construct: The x¯ chart for the energy consumption.

To check: Whether the process is in statistical control or not and also identify which of the three out-of-control criteria lead to rejection of a statistically stable mean, if the process is not in statistical control.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

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Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 14, Problem 3RE

To determine

To construct: The x¯ chart for the energy consumption.

To check: Whether the process is in statistical control or not and also identify which of the three out-of-control criteria lead to rejection of a statistically stable mean, if the process is not in statistical control.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

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Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 14, Problem 3RE

To determine

To construct: The x¯ chart for the energy consumption.

To check: Whether the process is in statistical control or not and also identify which of the three out-of-control criteria lead to rejection of a statistically stable mean, if the process is not in statistical control.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 5

Chapter 14, Problem 3RE

To determine

To construct: The x¯ chart for the energy consumption.

To check: Whether the process is in statistical control or not and also identify which of the three out-of-control criteria lead to rejection of a statistically stable mean, if the process is not in statistical control.

Answer 6

Chapter 14, Problem 3RE

To determine

To construct: The x¯ chart for the energy consumption.

To check: Whether the process is in statistical control or not and also identify which of the three out-of-control criteria lead to rejection of a statistically stable mean, if the process is not in statistical control.

Answer 7

Chapter 14, Problem 3RE

To determine

To construct: The x¯ chart for the energy consumption.

To check: Whether the process is in statistical control or not and also identify which of the three out-of-control criteria lead to rejection of a statistically stable mean, if the process is not in statistical control.

Answer 8

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Answer 9

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Answer 11

Ch. 14.1 - FAA Requirement Table 14-1 on page 655 lists...Ch. 14.1 - Prob. 2BSC Ch. 14.1 - Prob. 3BSC Ch. 14.1 - Prob. 4BSC Ch. 14.1 - Prob. 5BSC Ch. 14.1 - Prob. 6BSC Ch. 14.1 - Prob. 7BSC Ch. 14.1 - Pepsi Cans. In Exercises 5-8, refer to the axial...Ch. 14.1 - Prob. 9BSC Ch. 14.1 - Prob. 10BSC

To construct: The x ¯ chart for the energy consumption. To check: Whether the process is in statistical control or not and also identify which of the three out-of-control criteria lead to rejection of a statistically stable mean , if the process is not in statistical control.

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To construct: The x¯ chart for the energy consumption.

To check: Whether the process is in statistical control or not and also identify which of the three out-of-control criteria lead to rejection of a statistically stable mean, if the process is not in statistical control.

Want to see the full answer?

Chapter 14 Solutions

To construct: The x ¯ chart for the energy consumption. To check: Whether the process is in statistical control or not and also identify which of the three out-of-control criteria lead to rejection of a statistically stable mean , if the process is not in statistical control.

Videos

To construct: The x¯ chart for the energy consumption. To check: Whether the process is in statistical control or not and also identify which of the three out-of-control criteria lead to rejection of a statistically stable mean, if the process is not in statistical control.

Want to see the full answer?

Chapter 14 Solutions

To construct: The x¯ chart for the energy consumption.

To check: Whether the process is in statistical control or not and also identify which of the three out-of-control criteria lead to rejection of a statistically stable mean, if the process is not in statistical control.