A can is considered to be "defective" if it contains less than 15.5 ounces or more than 16.5 ounces (these defective weights are indicated in the table with bold red font). The values of x-bar, R, and p-hat for each subgroup have been calculated for you. Additionally, the averages of these statistics have also been calculated for you, and are included at the bottom of the table. Hour 1 2 3 4 5 6 7 8 9 10 Amount in can (ounces) 16.4 16.0 15.8 16.4 15.3 15.2 15.8 16.0 15.8 16.3 16.2 15.7 15.8 15.9 16.8 16.4 16.4 16.3 15.9 16.0 15.3 16.1 16.7 16.5 15.9 X 16.15 15.575 16.275 15.95 16.15 16.6 16.8 15.9 16.15 16.1 16.5 15.8 16.125 15.8 16.1 16.1 16.175 15.5 15.8 15.925 16.3 15.8 15.9 16.3 R 0.6 0.8 1 0.7 0.5 1.5 0.7 0.9 1 0 16.075 0.5 0 Averages: 16.055 0.82 0.175 $ x-bar chart's centerline: 0 0.5 0.25 0 0 0.75 0 0.25 Round all of your answers to 5 places after the decimal point, if necessary. Calculate the values of the UCL, centerline, and LCL of the x-bar chart for this data. x-bar chart's UCL: x-bar chart's LCL: Calculate the values of the UCL, centerline, and LCL of the R chart for this data. R chart's UCL:
A can is considered to be "defective" if it contains less than 15.5 ounces or more than 16.5 ounces (these defective weights are indicated in the table with bold red font). The values of x-bar, R, and p-hat for each subgroup have been calculated for you. Additionally, the averages of these statistics have also been calculated for you, and are included at the bottom of the table. Hour 1 2 3 4 5 6 7 8 9 10 Amount in can (ounces) 16.4 16.0 15.8 16.4 15.3 15.2 15.8 16.0 15.8 16.3 16.2 15.7 15.8 15.9 16.8 16.4 16.4 16.3 15.9 16.0 15.3 16.1 16.7 16.5 15.9 X 16.15 15.575 16.275 15.95 16.15 16.6 16.8 15.9 16.15 16.1 16.5 15.8 16.125 15.8 16.1 16.1 16.175 15.5 15.8 15.925 16.3 15.8 15.9 16.3 R 0.6 0.8 1 0.7 0.5 1.5 0.7 0.9 1 0 16.075 0.5 0 Averages: 16.055 0.82 0.175 $ x-bar chart's centerline: 0 0.5 0.25 0 0 0.75 0 0.25 Round all of your answers to 5 places after the decimal point, if necessary. Calculate the values of the UCL, centerline, and LCL of the x-bar chart for this data. x-bar chart's UCL: x-bar chart's LCL: Calculate the values of the UCL, centerline, and LCL of the R chart for this data. R chart's UCL:
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
Related questions
Question
Transcribed Image Text:Round all of your answers to 5 places after the decimal point, if necessary.
Calculate the values of the UCL, centerline, and LCL of the x-bar chart for this data.
x-bar chart's UCL:
x-bar chart's centerline:
x-bar chart's LCL:
Calculate the values of the UCL, centerline, and LCL of the R chart for this data.
R chart's UCL:
R chart's centerline:
R chart's LCL:
Calculate the values of the UCL, centerline, and LCL of the p chart for this data.
p chart's UCL:
p chart's centerline:
p chart's LCL:
Transcribed Image Text:A machine is supposed to be filling cans with 16 ounces of a food product. Each hour, a sample of four cans
is tested. The results from ten consecutive hours are given in the following table.
A can is considered to be "defective" if it contains less than 15.5 ounces or more than 16.5 ounces (these
defective weights are indicated in the table with bold red font).
The values of x-bar, R, and p-hat for each subgroup have been calculated for you. Additionally, the
averages of these statistics have also been calculated for you, and are included at the bottom of the table.
X
R
16.15
0.6
15.575 0.8
1
Amount in can (ounces)
16.4 16.0 15.8 16.4
15.3 15.2 15.8 16.0
16.8 15.8 16.3 16.2 16.275
16.4 15.7 15.8 15.9 15.95
5 16.4
16.3 15.9 16.0 16.15
15.3 16.6 16.8
15.9 16.15 1.5
16.1 16.1 16.5 15.8 16.125 0.7
0.7
0.5
6
16.7 15.8
0.25
16.5 15.9
16.1 16.1
15.5 15.8
16.3 15.8
16.175 0.9
15.925 1
16.075 0.5
0
15.9
16.3
0
Averages: 16.055 0.82 0.175
Hour
1
2
3
45
7
8
9
10
$
x-bar chart's centerline:
0
0.5
0.25
0
0
0.75
0
Round all of your answers to 5 places after the decimal point, if necessary.
Calculate the values of the UCL, centerline, and LCL of the x-bar chart for this data.
x-bar chart's UCL:
x-bar chart's LCL:
Calculate the values of the UCL, centerline, and LCL of the R chart for this data.
R chart's UCL:
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