Problem $5$a

The following problem data will be used in this and the following two questions:

Fred$$s Pizza has been in operation for $26$ weeks. For quality purposes, each week Fred randomly calls $25$ customers who have had pizza delivered to their homes. He asks them one simple $$yes or no$$ question $$ were they satisfied with their order? Fred has been collecting these responses since the time his business opened. The table below lists, by week, the number of customers who reported they were NOT satisfied with their order.

Hint $-$ It is recommended that you use Microsoft Excel $($or your preferred spreadsheet software$)$ to solve this problem.

Patrons

Not

Surveyed

Satisfied

$1$

$25$

$3$

$2$

$25$

$4$

$3$

$25$

$11$

$4$

$25$

$6$

$5$

$25$

$3$

$6$

$25$

$6$

$7$

$25$

$2$

$8$

$25$

$4$

$9$

$25$

$5$

$10$

$25$

$5$

$11$

$25$

$3$

$12$

$25$

$6$

$13$

$25$

$6$

$14$

$25$

$5$

$15$

$25$

$3$

$16$

$25$

$6$

$17$

$25$

$5$

$18$

$25$

$4$

$19$

$25$

$4$

$20$

$25$

$4$

$21$

$25$

$3$

$22$

$25$

$4$

$23$

$25$

$4$

$24$

$25$

$3$

$25$

$25$

$7$

$26$

$25$

$6$

What is the average proportion of customers NOT satisfied? Keep number to four decimal places.

Average proportion $=$

What is the standard deviation of the proportion not satisfied? Keep number to four decimal places.

Standard Deviation $=$