Installing a muffler at Barut Garage, Inc. involves a five work tasks. Azra has timed workers performing these tasks seven times, with the results $($in minutes$)$ shown in the following table.

No

Tasks

$1$

$2$

$3$

$4$

$5$

$6$

$7$

PR

$1$

Select correct mufflers

$4$

$3$

$3$

$4$

$5$

$5$

$5$

$110$

$2$

Remove old muffler

$8$

$5$

$5$

$7$

$8$

$8$

$7$

$110$

$3$

Install new muffler

$14$

$13$

$14$

$12$

$12$

$12$

$15$

$85$

$4$

Inspect the work

$3$

$3$

$3$

$4$

$4$

$3$

$3$

$85$

$5$

Complete paperwork

$9$

$7$

$8$

$10$

$7$

$8$

$8$

$85$

Given that Azra does not want an error of more than $0\mathrm{.}06$ and a confidence level less than $0\mathrm{.}85$ answer the following:

Provide the z$-$score: $1\mathrm{.}44$ Round to the nearest hundredth, for example $4\mathrm{.}22$

Does the number of observations for the following tasks warrant such confidence level?

Enter YES or NO$.$

Task # $3$ Install new muffler : Blank $2$

Task # $5$ Complete paperwork : Blank $3$

What are the required numbers of observations for these tasks? Enter the number.

Task # $3$ Install new muffler : $5$

Task # $5$ Complete paperwork : $8$

Assume that the number of observations for the following tasks justifies the confidence level and accuracy mentioned above. Also note that Azra factors in a total of fatigue and personal allowance of $0\mathrm{.}15$ applied to job time. Provide the following results from your solution:

Task

Normal Time$*$

Standard Time$*$

# $2$ Remove old muffler

$7\mathrm{.}54$ min

Blank $7$ min

# $4$ Inspect the work

$2\mathrm{.}79$ min

Blank $9$ min

Provide the total standard time$*$ for the whole job: Blank $10$ minutes.

$*$Round to the nearest hundredth, for example $8\mathrm{.}45$ minutes

Blank $1$

Blank $2$

Blank $3$

Blank $4$

Blank $5$

Blank $6$

Blank $7$

Blank $8$

Blank $9$

Blank $10$