Let’s first calculate mean and standard deviation of given sample in following manner:
Without Wait- |
With Wait-Tracking |
|
Tracking System |
System |
|
23 |
31 |
|
62 |
10 |
|
15 |
13 |
|
21 |
17 |
|
32 |
11 |
|
45 |
35 |
|
10 |
10 |
|
26 |
2 |
|
16 |
11 |
|
35 |
16 |
|
Mean (µ) (Average) |
28.50 |
15.60 |
Standard Deviation (σ) |
15.71 |
10.07 |
We know that
Z-score = (X – µ)/σ
Where,
X = 35 minutes
Mean µ = 28.50 minutes
Standard deviation σ = 15.71
Therefore, Z-score = (35 – 28.5)/15.71 = 0.4136
The z-score for the 10th patient in the sample is 0.41.
We know that
Z-score = (X – µ)/σ
Where,
X = 35 minutes
Mean µ = 15.60 minutes
Standard deviation σ = 10.07
Therefore, Z-score = (35 – 15.60)/10.07 = 1.93
The z-score for the 6th patient in the sample is 1.93.
How does this z-score compare with the z-score you calculated for part (a)?
Both z–scores are positive that means both patients had wait times more than the means of their respective samples. Both the patients have 35 minutes wait time but the z–score is smaller for the 10th patient of part (a) in comparison of 6th patient of part (b) because that patient is part of a sample with a higher mean and a higher standard deviation.
(c) Based on z-scores, do the data for offices without a wait-tracking system contain any outliers?
Based on z-scores, do the data for offices with a wait-tracking system contain any outliers?
The z-score of all observations (calculated as above):
Without Wait- |
Z-score |
With Wait-Tracking |
Z-score |
|
Tracking System (X) |
Z=(X – µ)/σ |
System (X) |
Z=(X – µ)/σ |
|
23 |
-0.35 |
31 |
1.53 |
|
62 |
2.13 |
10 |
-0.56 |
|
15 |
-0.86 |
13 |
-0.26 |
|
21 |
-0.48 |
17 |
0.14 |
|
32 |
0.22 |
11 |
-0.46 |
|
45 |
1.05 |
35 |
1.93 |
|
10 |
-1.18 |
10 |
-0.56 |
|
26 |
-0.16 |
2 |
-1.35 |
|
16 |
-0.80 |
11 |
-0.46 |
|
35 |
0.41 |
16 |
0.04 |
|
Mean (µ) |
28.50 |
15.60 |
||
Standard Deviation (σ) |
15.71 |
10.07 |
Data for both without wait-tracking and with wait-tracking contains outliers as z-score is > 1 in many cases
Suppose that the average waiting time for a patient at a physician's office is just over...
Suppose that the average waiting time for a patient at a physician's office is just over 29 minutes. In order to address the issue of long patient wait times, some physicians' offices are using wait- tracking systems to notify patients of expected wait times. Patients can adjust their arrival times based on this information and spend less time in waiting rooms. The following data show wait times (minutes) for a sample of patients at offices that do not have a...
Suppose that the average waiting time for a patient at a physician's office is just over 29 minutes. In order to address the issue of long patient wait times, some physicians' offices are using wait-tracking systems to notify patients of expected wait times. Patients can adjust their arrival times based on this information and spend less time in waiting rooms. The following data show wait times (minutes) for a sample of patients at offices that do not have a wait-tracking...
Suppose that the average waiting time for a patient at a physician's office is just over 29 minutes. In order to address the issue of long patient wait times, some physicians' offices are using wait-tracking systems to notify patients of expected wait times. Patients can adjust their arrival times based on this information and spend less time in waiting rooms. The following data show wait times (minutes) for a sample of patients at offices that do not have a wait-tracking...
At a physician's office, patients sit in the Waiting Room until it is their turn (first-come, first-served) to be seen by the doctor. There is only one doctor on duty, and the doctor can help only one patient at a time. Based on her long-run rate of client service, this doctor typically spends 30 minutes per patient. Whenever the doctor finishes her session with one patient, she immediately begins a new session with the next patient. When you arrive in...
please answer this question
subject about Business Statistics. THANKS..
Section 1: Writing hypotheses 1. North River Health Clinic claims that the average waiting time for a patient is 20 minutes. A random sample of 6 patients showed a mean wait time of 23.2 minutes. At the.05 level of significance, does the sample show that the mean wait time is different from 20 minutes? State the null and alternate hypotheses. 2. North River Health Clinic claims that the average waiting time...
Without an appointment, the average waiting time in minutes at the doctor's office has the probability density function f(t)=1/38, where 0≤t≤38 Step 1 of 2: What is the probability that you will wait at least 26 minutes? Enter your answer as an exact expression or rounded to 3 decimal places. Step 2 of 2: What is the average waiting time?
The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 85.2 seconds. A manager devises a new drive-through system that she believes will decrease wait time. As a test, she initiates the new system at her restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below....
The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 85.5 85.5 seconds. A manager devises a new drive-through system that she she believes will decrease wait time. As a test, she she initiates the new system at her her restaurant and measures the wait time for 10 10 randomly selected orders. The wait times are provided in the table to the right. Complete...
sce intervals nce Intervals nfidence intervals Ethan Thral In Review Mode - no scores will be sa Create new versions of all questio Show Intro/Instructia 4.13 Waiting at an ER, Part I: A hospital administrator hoping to improve wait times decides to estimate the average emergency room waiting time at her hospital. She collects a simple random sample of 64 patients and determines the time (in minutes) between when they checked in to the ER until they were first seen...
Yes, No Are Not, Are Is, Is Not
Greater, Less
The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 84.4 seconds. A manager devises a new drive-through system that she believes will decrease wait time. As a test, she initiates the new system at her restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided...