Construct a control chart for the data


Discuss the below:

Q1: The funds-transfer department of a bank is concerned with turnaround time for investigations of funds-transfer payments. A payment may involve the bank as a remitter of funds, a beneficiary of funds, or an intermediary in the payment. An investigation is initiated by a payment inquiry or a query by a party involved in the payment or any department affected by the flow of funds. When a query is received, an investigator reconstructs the transaction trail of the payment and verifies that the information is correct and that the proper payment is transmitted. The investigator then reports the results of the investigation, and the transaction is considered closed. It is important that investigations be closed rapidly, preferably within the same day. The number of new investigations and the number of proportion closed on the same day that the inquiry was made are stored in FundTran.

a. Construct a control chart for these data.

b. Is the process in a state of statistical control? Explain

c. Based on the results of (a) and (b), what should management do next to improve the process?

Day New Investigations Number Closed
1 240 96
2 296 88
3 309 113
4 293 138
5 253 119
6 254 94
7 245 75
8 331 125
9 303 134
10 278 83
11 256 90
12 273 102
13 276 115
14 291 98
15 204 83
16 263 79
17 311 116
18 248 104
19 287 110
20 238 107
21 280 131
22 271 139
23 237 121
24 258 94
25 289 128
26 226 90
27 287 106
28 263 81
29 282 107
30 194 75

Q2: A branch manager of a brokerage company is concerned with the number of undesirable trades made by her sales staff. A trade is considered undesirable if there is an error on the trade ticket. Trades with errors are canceled and resubmitted. The cost of correcting errors is billed to the brokerage company. The branch manager wants to know whether the proportion of undesirable trades is in a state of statistical control so she can plan the next step in a quality improvement process. Data were collected for a 30day period and stored in Trade.

a. Construct a control chart for these data.

b. Is the process in control? Explain.

c. Based on the results of (a) and (b), what should the manager do next to improve the process?

Day Undesirable Total
1 2 74
2 12 85
3 13 114
4 33 136
5 5 97
6 20 115
7 17 108
8 10 76
9 8 69
10 18 98
11 3 104
12 12 98
13 15 105
14 6 98
15 21 204
16 3 54
17 12 74
18 11 103
19 11 100
20 14 88
21 4 58
22 10 69
23 19 135
24 1 67
25 11 77
26 12 88
27 4 66
28 11 72
29 13 118
30 15 138

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Basic Statistics: Construct a control chart for the data
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