a$-1.$ After a number of complaints about its directory assistance, a telephone company examined samples of calls to determine the frequency of wrong numbers given to callers. Each sample consisted of $100$ calls. The manager stated that the error rate is about $2$ percent. Construct a control chart using $98$ percent limits and using p$=\mathrm{.}02$

p

$$

$$

$=$

$$

$\mathrm{.}02$

$.($Round the final answers to $3$ decimal places.$)$

Observation

$12345678910111213141516$

Number of errors $6578668575676776$

UCL LCL

Control Limits

a$-2.$ Based on the manager's assumption of the process error rate, is the process in control?

multiple choice

Yes

NO