SOLUTIONS TO BSAN $301$: SAMPLE EXAM $3$ SPRING $2024$

$1.$ The time from when a patient is discharged from Metropolitan General Hospital to the time

the discharged patient$$s bed is ready to be assigned to a new patient is referred to as the bed

assignment turnaround time. If the bed turnaround time is excessive, it can cause problems

with patient flow and delay medical procedures throughout the hospital. This can cause long

waiting times for physicians and patients thus creating customer dissatisfaction. The

admissions RN has assigned a patient care associate to measure the bed turnaround time for a

randomly selected bed each morning, afternoon, and evening for $15$ days $($see Excel file$).$

Day Bed Turnaround Times $($min$)$ Part a$.$ Part b$.$

Sample $123$ Sample Mean Sample Range

$1127135167$

$2140155122$

$311212897$

$4223135154$

$5181155160$

$6103158145$

$7146135167$

$8104122115$

$9136158137$

$10145163106$

$1184146125$

$12169152208$

$13216124163$

$14190178103$

$15148205144$

a$.[10$ points$]$ Calculate the sample means. Put your answers in the table above.

b$.[10$ points$]$ Calculate the sample ranges. Put your answers in the table above.

c$.[10$ points$]$ Calculate the upper control limit $($UCL$)$ and lower control limit $($LCL$)$ for the

X$-$bar chart.

d$.[10$ points$]$ Calculate the upper control limit $($UCL$)$ and lower control limit $($LCL$)$ for the

R$-$chart.

e$.[10$ points$]$ Construct the X$-$bar chart.

f$.[10$ points$]$ Construct the R$-$chart.

g$.[10$ points$]$ Is the process under statistical process control? Explain your answer.

$2.$ Webster Chemical Company produces mastics and caulking for the construction industry. The

product is blended in large mixers and then pumped into tubes and capped. Webster is

concerned whether the filling process for tubes of caulking is in statistical control. The process

should be centered on $8$ ounces per tube. Six samples of $8$ tubes are taken and each tube is

weighed in ounces.