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The IRS is concerned with improving the accuracy of tax information given by its representatives over...

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Question

General Management

The IRS is concerned with improving the accuracy of taxinformation given by its representatives over the telephone.Previous studies involved asking a set of

2525

questions of a large number of IRS telephone representatives todetermine the proportion of correct responses.? Historically, theaverage proportion of correct responses has been

7171

percent.? Recently, IRS representatives have been receiving moretraining. On April? 26, the set of

2525

tax questions were again asked of 20 randomly selected IRStelephone representatives. The proportions of correct answers?were:

1515?,

1616?,

1919?,

1616?,

1515?,

1414?,

2121?,

2121?,

1717?,

2121?,

2323?,

1616?,

2222?,

1515?,

1515?,

2020?,

2323?,

1616?,

2121?,

and

1515.

a. What are the upper and lower control limits for theappropriate? p-chart for the? IRS? Use z? =

33.

The

UCL Subscript pUCLp

equals

nothing

and the

LCL Subscript pLCLp

equals

nothing.

?(Enter your responses rounded to four decimal places. If youranswer for

LCL Subscript pLCLp

is? negative, enter this value as

0.?)

Answer & Explanation Solved by verified expert
4.2 Ratings (845 Votes)

UCL=P bar+ Factor

LCL=Pbar-Factor

UCL =1.050

and LCL=0.589

P bar=total defective answers/total sum of n or 25

1 B C D
2 Sample defective answers P or Proportion of correct answers
3 25 21.25 15%
4 25 21 16%
5 25 20.25 19%
6 25 21 16%
7 25 21.25 15%
8 25 21.5 14%
9 25 19.75 21%
10 25 19.75 21%
11 25 20.75 17%
12 25 19.75 21%
13 25 19.25 23%
14 25 21 16%
15 25 19.5 22%
16 25 21.25 15%
17 25 21.25 15%
18 25 20 20%
19 25 19.25 23%
20 25 21 16%
21 25 19.75 21%
22 25 21.25 15%
23 P bar 0.8195
24 Factor calculation 0.231
25 UCL 1.050
26 LCL 0.589

Formula:

1 B C D
2 Sample defective answers P or Proportion of correct answers
3 25 =(25*(1-D3)) 0.15
4 25 =(25*(1-D4)) 0.16
5 25 =(25*(1-D5)) 0.19
6 25 =(25*(1-D6)) 0.16
7 25 =(25*(1-D7)) 0.15
8 25 =(25*(1-D8)) 0.14
9 25 =(25*(1-D9)) 0.21
10 25 =(25*(1-D10)) 0.21
11 25 =(25*(1-D11)) 0.17
12 25 =(25*(1-D12)) 0.21
13 25 =(25*(1-D13)) 0.23
14 25 =(25*(1-D14)) 0.16
15 25 =(25*(1-D15)) 0.22
16 25 =(25*(1-D16)) 0.15
17 25 =(25*(1-D17)) 0.15
18 25 =(25*(1-D18)) 0.2
19 25 =(25*(1-D19)) 0.23
20 25 =(25*(1-D20)) 0.16
21 25 =(25*(1-D21)) 0.21
22 25 =(25*(1-D22)) 0.15
23 P bar =SUM(C3:C22)/SUM(B3:B22)
24 Factor calculation =3*(SQRT(((1-C23)*C23)/25))
25 UCL =C23+C24
26 LCL =C23-C24

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