Reference no: EM131534831

Please solve the following 3 problems. Show all your formula and relevant work and discard irrelevant information.

1. A local newspaper has 10 delivery boys who each deliver the morning newspaper to 50 customers every day. The owner decides to record the percentage of papers delivered on time for a 10-day period and construct a p chart to see whether the percentage is too erratic. ???

DayPercentage of Papers Delivered on Time ?

1                    91?

2                    89?

3                    92?

4                    90?

5                    86?

6                    96?

7                    91?

8                    98?

9                    95?

10                  93??

Referring to the table above set up a p chart for him.

2. A process that produces titanium forgings for automobile turbocharger wheels is to be controlled through use of a number of nonconformities chart. Initially, one sample is taken each day and checked for nonconformities for 20 days, and the results shown here are observed.

DayNonconforming Units

1                               3

2                               2

3                               4

4                               2

5                               5

6                               2

7                               1

8                               2

9                               0

10                             5

11                             2

12                             4

13                             1

14                             3

15                             6

16                             0

17                             1

18                             2

19                             3

20                             2

Establish a control chart to monitor future production.

3. A textile company uses au chart to monitor the number of nonconformities per roll of a fabric. 400 rolls of the fabric are inspected for defects per hour. The following table shows the data for 20 hours.

HourNonconforming units

1                   12

2                   11

3                   9

4                   15

5                   7

6                   6

7                   5

8                   10

9                   8

10                 8

11                 14

12                  5

13                 9

14                 13

15                 7

16                 5

17                 8

18                 11

19                 7

20                 12

Construct the chart for them.