High School

We appreciate your visit to The IRS is concerned with improving the accuracy of tax information given by its representatives over the telephone Previous studies involved asking a set of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

The IRS is concerned with improving the accuracy of tax information given by its representatives over the telephone. Previous studies involved asking a set of 25 questions to a large number of IRS telephone representatives to determine the proportion of correct responses. Historically, the average proportion of correct responses has been 70 percent. Recently, IRS representatives have been receiving more training. On April 26, the set of 25 tax questions were again asked of 20 randomly selected IRS telephone representatives. The proportions of correct answers were:

17, 16, 19, 8, 16, 19, 21, 16, 17, 16, 23, 20, 23, 15, 15, 11, 23, 21, 21, and 16.

a. What are the upper and lower control limits for the appropriate p-chart for the IRS? Use [tex]z = 3[/tex].

The UCL [tex]p[/tex] equals ______________ and the LCL [tex]p[/tex] equals ______________.

(Enter your responses rounded to four decimal places. If your answer for LCL [tex]p[/tex] is negative, enter this value as 0.)

Answer :

Thus, the answer is: UCL p = 0.9982 and LCL p = 0.7618, respectively (Enter your responses rounded to four decimal places. If your answer for LCL p is negative, enter this value as 0.).

Given that the proportions of correct answers from 20 randomly selected IRS telephone representatives are: 17,16,19,8,16,19,21,16,17,16,23,20,23,15,15,11,23,21,21, and 16. To find the Upper and Lower control limits for the appropriate p-chart, we use the given formulae;

UCL p = p + z (√ (p(1-p)/n)) and

LCL p = p - z (√ (p(1-p)/n)). Let p be the average proportion of correct responses, i.e.,

(17+16+19+8+16+19+21+16+17+16+23+20+23+15+15+11+23+21+21+16) / 20= 17.6/20=0.88.

Then the sample standard deviation = √[((17-0.88)² +(16-0.88)² +(19-0.88)² +....+(21-0.88)² +(16-0.88)²) / (20-1)]≈0.0660.

Using the z = 3,UCL p = p + z (√(p(1-p)/n))= 0.88 + 3(0.0660 / sqrt (20))= 0.9982 LCL p = p - z (√(p(1-p)/n))= 0.88 - 3(0.0660 / sqrt (20))= 0.7618.

Therefore, the Upper and Lower control limits for the appropriate p-chart for the IRS are UCL p = 0.9982 and LCL p = 0.7618 respectively.

To know more about proportions visit:

brainly.com/question/31548894

#SPJ11

Thanks for taking the time to read The IRS is concerned with improving the accuracy of tax information given by its representatives over the telephone Previous studies involved asking a set of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada