I need help on this A bank wanted to measure if the time a customer spends at a

Question

I need help on this

A bank wanted to measure if the time a customer spends at a drive-up window was within control. It took four samples of five observations each and recorded the time in minutes (see table). Use three sigma control limits to find if the process is under statistical control.

Note: Round your answer to one decimal point

Sample

Time1

Time2

Time3

Time4

Time5

1

4.5

4.2

4.2

4.3

4.3

2

4.6

4.5

4.4

4.7

4.3

3

4.5

4.6

4.4

4.4

4.6

4

4.7

4.6

4.8

4.5

4.9

True

False

0 points   

QUESTION 2

The sample size n is

3

4

5

6

1 points   

QUESTION 3

CL for the x-bar chart is

4

4.5

.7

.3

1 points   

QUESTION 4

UCL for the x-bar chart is

4.7

4.0

4.3

.5

1 points   

QUESTION 5

CL for the R chart is

2.1

4.3

1.2

.3

1 points   

QUESTION 6

LCL for the R chart is

0

1.2

3.2

.3

1 points   

QUESTION 7

I understand that the problem below is used to answer the next 5 MC questions. Please click True.

The Crystal Sparkle Co. produces glass tumblers. The plant is designed to produce 400 tumblers per hour, and there is one eight-hour shift per working day. The employees take two 15-minute breaks in each shift, one in the first four hours and one in the second four hours. The first thirty minutes of the shift are spent raising the kilns to the required temperature for firing glass. The plant usually produces about 2000 tumblers per day. Answer the following questions by adjusting the data to one eight-hour shift.

True

False

0 points   

QUESTION 8

Design Capacity is

2000

2500

3000

3200

1 points   

QUESTION 9

Effective Design Capacity is

3000

2700

2800

3200

1 points   

QUESTION 10

The Efficiency is

60.5%

74.3%

71.4%

90%

1 points   

QUESTION 11

The Utilization is

65.2%

73.8%

41.7%

62.5%

1 points   

QUESTION 12

If management wants the plant to be 85% efficient, the actual output per day should be

2800

2380

2830

3200

Sample

Time1

Time2

Time3

Time4

Time5

1

4.5

4.2

4.2

4.3

4.3

2

4.6

4.5

4.4

4.7

4.3

3

4.5

4.6

4.4

4.4

4.6

4

4.7

4.6

4.8

4.5

4.9

Explanation / Answer

8)

Design capacity = 8 hrs. x 400 tumblers = 3,200 tumblers per 8-hour shift

9)

Effective capacity = Design capacity - Nonproductive activities

Design capacity 8.0 hrs.
Less: Breaks .5 hrs.
Heat-up .5 hrs.
Net productive time 7.0 hrs.

Effective capacity = 7 hrs. x 400 tumblers = 2,800 tumblers.

10
Actual output = 10,000/5 = 2,000 tumblers per 8-hour shift. (This is an average
output. In reality, there could be variation; some shifts could exceed 2,000
tumblers while others fall short.)

Efficiency = Actual output/Effective capacity = (100)(2000)/2800 = 71.43%

11
Utilization = Actual output/Design capacity = (100)(2000)/3200 = 62.50%

12)

0.85 * 2800 = 2380

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