Question

In: Statistics and Probability

Chapter 8. A sample of 36 patients in a doctor's office showed that they had to...

Chapter 8. A sample of 36 patients in a doctor's office showed that they had to wait an average of 45 minutes with a standard deviation of 12 minutes before they could see the doctor.

Please provide a 95% confidence interval estimate for the average waiting time of all the patients who visit this doctor, and interpret your results (write a sentence explaining the results).

Expert Solution

Solution :

Given that,

Point estimate = sample mean = =45

Population standard deviation = = 12

Sample size n =36

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96 ( Using z table )

Margin of error = E = Z/2 * ( / $\sqrt$ n)

= 1.96 * ( 12 / $\sqrt$ 36 $\sqrt$ )

E= 3.92
At 95% confidence interval estimate of the population mean
is,

- E < < + E

45 - 3.92 < < 45+ 3.92

41.08 < < 48.92

( 41.08 ,48.92 )

orchestra answered 2 years ago

A sample of 36 patients in a doctor's office showed that they had to wait an...

A sample of 36 patients in a doctor's office showed that they had to wait an average of 45 minutes with a standard deviation of 12 minutes before they could see the doctor. Please provide a 95% confidence interval estimate for the average waiting time of all the patients who visit this doctor, and interpret your results (write a sentence explaining the results).

a)A sample of 25 patients in a doctor's office showed that they had to wait for...

a)A sample of 25 patients in a doctor's office showed that they had to wait for an average of 38 minutes before they could see the doctor. The sample standard deviation is 12 minutes. Assume the population of waiting times is normally distributed.At 95% confidence, compute the upper bound of interval estimate for the average waiting time of all the patients who visit this doctor. b)A sample of 30 patients in a doctor's office showed that they had to wait...

a) A sample of 25 patients in a doctor's office showed that they had to wait...

a) A sample of 25 patients in a doctor's office showed that they had to wait an average of 35 minutes before they could see the doctor. The sample standard deviation is 10 minutes. Assume the population of waiting times is normally distributed. At 95% confidence, compute the margin of error. b) A sample of 25 patients in a doctor's office showed that they had to wait for an average of 32 minutes before they could see the doctor. The...

a)A sample of 30 patients in a doctor's office showed that they had to wait an...

a)A sample of 30 patients in a doctor's office showed that they had to wait an average of 35 minutes before they could see the doctor. The sample standard deviation is 9 minutes. Assume the population of waiting times is normally distributed.At 90% confidence, compute the margin of error. b)Consider the population of electric usage per month for houses. The standard deviation of this population is 119 kilowatt-hours. What is the smallest sample size to provide a 90% confidence interval...

A doctor's office has 8 openings each day. If only 5 people are scheduled with the...

A doctor's office has 8 openings each day. If only 5 people are scheduled with the doctor today: a) How many ways can the 5 appointments be arranged in the available times? b) why did you choose the strategy you did c) this doctor prefers to sleep in. How many ways can the appointments be arranged with the first two morning openings left empty? d) what is the probability of the first twi appointment slots being left empty by chance...

Imagine you are working at a doctor's office. You are approached by the office manager, who...

Imagine you are working at a doctor's office. You are approached by the office manager, who asks you to develop an effective way of storing patient information. Write a 350- to 700-word summary to your office manager informing her of the advantages of using electronic health records (EHRs) to store patient information. Be clear and concise, use complete sentences, and use examples to support your responses. Include the following in your response: Discuss the functions and advantages of using EHRs....

Choose a site used by the public such as a supermarket, doctor's office, library, post office,...

Choose a site used by the public such as a supermarket, doctor's office, library, post office, or department store and observe one or more key processes, the associated suppliers, inputs, process steps, outputs, customers, the measurement systems, and how the measurements are used to manage and improve the process. Submit a Word document in which you include the following: Company visited. Process observed. SIPOC elements. Process measurements. Process management systems used.

4. A sample of 36 bags of sugar produced by Domain sugar producers showed an average...

4. A sample of 36 bags of sugar produced by Domain sugar producers showed an average of 2 pounds and 2 ounces with a standard deviation of 7 ounces. a. At 95% confidence, compute the margin of error and explain what it shows. b. Determine a 95% confidence interval for the average weight of the population of bags of sugar produced by the company. Give the answer in ounces and at least two decimal places. c. The bags of sugar...

A random sample of 100 patients at RWJ Hospital showed that 45 of them are middle...

A random sample of 100 patients at RWJ Hospital showed that 45 of them are middle income. Using 99% level of confidence, estimate the percentage of middle income patients of the hospital.

8. Given the following data: Number of patients = 3,293 Number of patients who had a...

8. Given the following data: Number of patients = 3,293 Number of patients who had a positive test result and had the disease = 2,184 Number of patients who had a negative test, and did not have the disease = 997 Number of patients who had a positive test result, but did not have the disease = 55 Number of patients who had a negative test result, but who had the disease = 57 a. Create a complete and fully...