Question

Suppose that the average waiting time for a patient at a physicians 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 system and wait times for a sample of patients at offices with a wait-tracking system. Without Wait Tracking System 23 62 15 21 32 45 10 26 16 35 With Wait-Tracking System 31 10 13 17 35 10 16 (a) Considering only offices without a wait-tracking system, what is the z-score for the 10th patient in the sample (wait time 35 minutes)? If required, round your intermediate calculations and final answer to two decimal places. 2 score (b) Considering only offices with a wait-tracking system, what is the z-score for the 6th patient in the sample (wait time = 35 minutes)? If required, round your intermediate calculations and final answer to two decimal places. 2-score How does this z-score compare with the z-score you calculated for part (a)? The input in the box below will not be graded, but may be reviewed and considered by your instructor. blankThe input in the box below will not be graded, but may be reviewed and considered by your instructor blank (c) Based on z-scores, do the data for offices without a wait-tracking system contain any outliers? - Select your answer- Based on z-scores, do the data for offices with a wait-tracking system contain any outliers? - Select your answer

0 0
Add a comment Improve this question Transcribed image text
Answer #1

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

  1. Considering only offices without a wait-tracking system, what is the z-score for the 10th patient in the sample (wait time = 35 minutes)?

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.    

  1. Considering only offices with a wait-tracking system, what is the z-score for the 6th patient in the sample (wait time = 35 minutes)?

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

Add a comment
Know the answer?
Add Answer to:
Suppose that the average waiting time for a patient at a physician's office is just over...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 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...

    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...

    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,...

    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...

  • Section 1: Writing hypotheses 1. North River Health Clinic claims that the average waiting time f...

    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...

    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...

    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...

    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...

    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...

    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...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT