a. What is a point estimate for the population mean length of time. (Round answer to 4 decimal places) b. Which distribution should you use for this problem? O normal distribution Ot distribution c. Why?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
icon
Concept explainers
Topic Video
Question
Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You
collect data from a random sample of 11 patients. The period of effectiveness of the tranquilizer for
each patient (in hours) is as follows:
2.8
2.6
3
2.2
2.1
2.6
2.7
3
2.3
2.3
a. What is a point estimate for the population mean length of time. (Round answer to 4 decimal
places)
b. Which distribution should you use for this problem?
O normal distribution
Ot-distribution
c. Why?
d. What must be true in order to construct a confidence interval in this situation?
O The population mean must be known
O The population standard deviation must be known
O The population must be approximately normal
O The sample size must be greater than 30
e. Construct a 99% confidence interval for the population mean length of time. Enter your answer as
an open-interval (l.e., parentheses) Round upper and lower bounds to two decimal places
f. Interpret the confidence interval in a complete sentence. Make sure you include units
g. What does it mean to be "99% confident" in this problem? Use the definition of confidence level.
O There is a 99% chance that the confidence interval contains the population mean
O The confidence interval contains 99% of all samples
O 99% of all simple random samples of size 11 from this population will result in confidence
intervals that contain the population mean
h. Suppose that the company releases a statement that the mean time for all patients is 2 hours.
• Is this possible?
O Yes
O No
Is it likely?
O No
O Yes
Transcribed Image Text:Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 11 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: 2.8 2.6 3 2.2 2.1 2.6 2.7 3 2.3 2.3 a. What is a point estimate for the population mean length of time. (Round answer to 4 decimal places) b. Which distribution should you use for this problem? O normal distribution Ot-distribution c. Why? d. What must be true in order to construct a confidence interval in this situation? O The population mean must be known O The population standard deviation must be known O The population must be approximately normal O The sample size must be greater than 30 e. Construct a 99% confidence interval for the population mean length of time. Enter your answer as an open-interval (l.e., parentheses) Round upper and lower bounds to two decimal places f. Interpret the confidence interval in a complete sentence. Make sure you include units g. What does it mean to be "99% confident" in this problem? Use the definition of confidence level. O There is a 99% chance that the confidence interval contains the population mean O The confidence interval contains 99% of all samples O 99% of all simple random samples of size 11 from this population will result in confidence intervals that contain the population mean h. Suppose that the company releases a statement that the mean time for all patients is 2 hours. • Is this possible? O Yes O No Is it likely? O No O Yes
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill