The time needed for checking in at a hotel is to be investigated. Historically,

Question

The time needed for checking in at a hotel is to be investigated. Historically, the process has had a standard deviation equal to .146. The means of 39 samples of n = 23 are

a-1.Construct an x¯x¯ -chart for this process with three-sigma limits. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

a-2. Is the process in control?

Yes

No

b. Analyze the data using a median run test and an up/down run test. What can you conclude?

Sample Mean Sample Mean Sample Mean Sample Mean 1 3.86 11 3.88 21 3.84 31 3.88 2 3.90 12 3.86 22 3.82 32 3.76 3 3.83 13 3.88 23 3.89 33 3.83 4 3.81 14 3.81 24 3.86 34 3.77 5 3.84 15 3.83 25 3.88 35 3.86 6 3.83 16 3.86 26 3.90 36 3.80 7 3.87 17 3.82 27 3.81 37 3.84 8 3.88 18 3.86 28 3.86 38 3.79 9 3.84 19 3.84 29 3.98 39 3.85 10 3.80 20 3.87 30 3.96

Explanation / Answer

a-1.Construct an x¯x¯ -chart for this process with three-sigma limits. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

UCL :- 3.97

LCL :- 3.73

a-2. Is the process in control?

NO

Analyze the data using a median run test and an up/down run test. What can you conclude?

MEDIAN :- RANDOM

UP/DOWN :- RANDOM

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