Question
In: Statistics and Probability
Problem 2 A study was conducted to see how long Dr. Kennedy’s patients had to wait...
Problem 2
A study was conducted to see how long Dr. Kennedy’s patients had to
wait before their appointment. A random sample of 30 patients
showed the average waiting time was 20 minutes with a standard
deviation of 16 minutes.
(a) Construct a 99% confidence interval for µ, the true mean waiting
time and interpret your results.
(b) Suppose that Dr. Kennedy worker claims that the average waiting
time at his hospital is 20 minutes. Based on the interval above,
can this claim be rejected?
Solutions
Expert Solution
We need to construct the 
confidence interval for the population mean 
. Populaton standerd deviation is given hence One sample Z test is
most appropriate here.
Confidence interval for Z test is given by:
where,
Sample Mean 
Population Standard Deviation 
=
Sample size (n)=30
The critical value of Z at 
is 
Therefore substituting the values we get C.I as:
b) Therefore, based on the data provided, the
confidence interval for the population mean is 
which indicates that we are
confident that the true population mean 
is contained by the interval (12.476, 27.524).
And the value 20 lies in this
interval. Hence Dr. Kennedy worker's claims that the average
waiting time at his hospital is 20 minutes can NOT be
rejected
orchestra answered 1 year agoRelated Solutions
A survey was conducted to determine, on average, how long patients have to wait to see...
A survey was conducted to determine, on average, how long
patients have to wait to see a doctor. The number of patients that
ended up waiting up to 2 hours to see a doctor, recorded in
10-minute intervals, is given in the table below.
a) Define and name the random variable associated with this data.
b) Find the probability distribution for the random variable and
draw the corresponding histogram. Express all probabilities as a
fraction in lowest terms.
c) What...
A study is to be conducted to see how long it takes for a taxpayer to...
A study is to be conducted to see how long it takes for a taxpayer to complete his income tax return. Assume that the time required to complete the return is normally distributed.
A random sample of 17 taxpayers is taken whose mean (of the time in hours to complete the return) is 7.8 hours with a standard deviation of 2.3 hours.
A) Determine the value of t
B) Find the approximate error
C) Find the interval with 95% confidence...
Problem 1 A study is conducted to investigate long-term complication rates in patients treated with two...
Problem 1 A study is conducted to investigate long-term
complication rates in patients treated with two different
therapies. The sample data is given below. Long-term complications
Yes No Therapy 1 92 932 Therapy 2 75 878 Let p1 be the population
proportion of patients with long-term complications among those
treated with therapy 1. Let p2 be the population proportion of
patients with long-term complications among those treated with
therapy 2. Can we conclude that the proportions of patients with
long-term...
Dr. Intellectual conducted a study to measure if a telephone intervention by nurses (nurses calling patients...
Dr. Intellectual conducted a study to measure if a telephone
intervention by nurses (nurses calling patients after discharge)
reduces readmissions within 30 days of discharge. All discharged
patients were called within 48 hours of discharge, between June 1
and August 1, to discuss compliance with discharge
instructions.
1. What type of research is this?
a.
qualitative
b.
quantitative
2. Which type of design is this?
a.
descriptive
b.
correlational
c.
quasi-experimental
d.
experimental
e.
phenomenological
f.
ethnography
g.
historical
h....
Dr. Intellectual conducted a study to measure if a telephone intervention by nurses (nurses calling patients...
Dr. Intellectual conducted a study to measure if a telephone
intervention by nurses (nurses calling patients after discharge)
reduces readmissions within 30 days of discharge. All discharged
patients were called within 48 hours of discharge, between June 1
and August 1, to discuss compliance with discharge
instructions.
5. Identify the independent variable
a. telephone calls
b. readmissions
c. 48 hours post discharge
d. compliance with discharge instructions
6. What level of measurement is the independent variable?...
The length of time patients must wait to see a doctor in a local clinic is...
The length of time patients must wait to see a doctor in a local
clinic is uniformly distributed between 15 and 45 minutes.
a. Define the random variable in words.
b. What is the probability of a patient waiting exactly 30
minutes?
c. What is the probability that a patient would have to wait
between 5 and 25 minutes?
d. Compute the probability that a patient would have to wait
over 30 minutes. e. Determine the expected waiting time and...
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 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...
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...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Samsung Industry that requires you to act as a change agent to form an organizational change...
- Use fork() Create a program that reads characters from an input file. Use fork to create...
- A pension fund manager is considering three mutual funds. The first is a stock fund, the...
- Compute the cost of not taking the following cash discounts. (Use a 360-day year. Do not...
- During his project presentation, Bob falls sick and performs poorly. However, his colleague, Dan, concludes that...
- A sample human input file that contains test values that a human would enter on the...
- A solution is prepared by dissolving 15 ml of methanol in 150.0 ml water at 25...
ADVERTISEMENT