Question

A company collects 20 samples with 100 eggs in each sample. They want to construct a P chart to track the proportion of broken eggs in each sample. The table below shows the number of defective eggs per sample.

Sample |
Eggs |

1 | 3 |

2 | 5 |

3 | 3 |

4 | 4 |

5 | 2 |

6 | 4 |

7 | 2 |

8 | 6 |

9 | 4 |

10 | 9 |

11 | 2 |

12 | 6 |

13 | 5 |

14 | 1 |

15 | 5 |

16 | 0 |

17 | 2 |

18 | 6 |

19 | 2 |

20 | 1 |

TOTAL | 72 |

1. Determine P hat.

2. Determine σp’

3. Determine the 3-sigma UCL and LCL.

4. Plot the data. Does the egg process appear to be in statistical control?

The answers need to be a total step by step, how to or credit will not be received. If there is a formula, type the numbers into the formula for credit.

Answer #1

The results of inspection of DNA samples taken over the past
10 days are given below. Sample size is 100.
Day
1
2
3
4
5
6
7
8
9
10
# of defectives
7
6
6
9
5
0
0
8
6
1
(a) Determine the fraction defective of the p chart. Please
give the formula and at least one step of calculation for full
credit. (6 points)
(b) Determine the of the p chart. Please give the formula...

Ten samples of 15 parts each were taken from an ongoing process
to establish a p-chart for control. The samples and the
number of defectives in each are shown in the following
table:
SAMPLE
n
NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE
1
15
2
2
15
2
3
15
2
4
15
0
5
15
2
6
15
1
7
15
3
8
15
2
9
15
1
10
15
3
a. Determine the p−p− , Sp,
UCL and...

Ten samples of 15 parts each were taken from an ongoing process
to establish a p-chart for control. The samples and the
number of defectives in each are shown in the following table:
SAMPLE
n
NUMBER OF
DEFECTIVE ITEMS IN THE SAMPLE
1
15
0
2
15
0
3
15
0
4
15
2
5
15
0
6
15
3
7
15
1
8
15
0
9
15
3
10
15
1
a.
Determine the p−p−, Sp, UCL and LCL...

QUESTION 20 Five samples of size 12 were collected. The data are
provided in the following table:
Sample number 1 2 3 4 5
Sample mean 4.80 4.62 4.81 4.55 4.92
Sample standard deviation 0.30 0.33 0.31 0.32 0.37
The upper control limit (UCL) and lower control limit (LCL) for
an s-chart are:
1.LCL = 0.0971, UCL = 0.5868.
2.LCL = 0.1154, UCL = 0.5366.
3.LCL = 0.1011, UCL = 0.6109.
4.LCL = 0.1034, UCL = 0.6246.
5.LCL = 0.0994,...

Ten samples of 15 parts each were taken from an ongoing process
to establish a p-chart for control. The samples and the
number of defectives in each are shown in the following table:
SAMPLE
n
NUMBER OF
DEFECTIVE ITEMS IN THE SAMPLE
1
15
0
2
15
2
3
15
0
4
15
3
5
15
1
6
15
3
7
15
1
8
15
0
9
15
0
10
15
0
a.
Determine the p−p−, Sp, UCL and LCL...

Ten samples of 15 parts each were taken from an ongoing process
to establish a p-chart for control. The samples and the
number of defectives in each are shown in the following
table:
SAMPLE
n
NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE
1
15
1
2
15
1
3
15
3
4
15
1
5
15
0
6
15
0
7
15
2
8
15
1
9
15
2
10
15
1
a. Determine the p−p− , Sp,
UCL and...

A production manager at a Contour Manufacturing plant has
inspected the number of defective plastic molds in five random
samples of 35 observations each. Following are the number of
defective molds found in each sample:
Construct a 3-sigma control chart (z = 3) with this information.
(If the lower control limit is negative, round the LCL
to zero and all other answers to 2 decimal places, e.g.
15.25.)
CL:
UCL:
LCL:
Sample
Number of
Defects
Number of
Observations
in Sample...

A process produces parts that are determined to be usable or
unusable. The process average defective rate is 1%. You plan to
monitor this process by taking samples of 400 parts.
Sample: 1 2 3 4 5 6 7 8 9 10
Defectives: 6 2 5 6 0 4 8 0 2 8
(A.) What is your p chart UCL?
(B.) What is your p chart LCL?
(C.) Is this process in control or not?

In an basket, there are 20 eggs of four colors: red, black,
yellow and blue. For each color, there are 5 eggs and they are
numbered from 1 to 5.
1) If one egg is randomly drawn from the basket, what is the
probability that the randomly selected egg is red or blue?
2) If one egg is randomly drawn from the basket, what is the
probability that the randomly selected egg is numbered 1 or
blue?
3) If two...

A shirt manufacturer buys cloth by the 100 yard roll from a
supplier. For setting up a control chart to manage the
irregularities (e.g., loose threads and tears) the following data
was collected from a sample provided by the supplier.
SAMPLE
1
2
3
4
5
6
7
8
9
10
IRREGULARITIES
1
4
1
4
3
2
3
5
6
4
a. Determine the c¯c¯ , Sp,
UCL and LCL for a c -chart with z= 2.
(Leave no...

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