ngineer wishes Suppose you are a researcher ina nospitat. Tou are experimenting with a new tranquitizer. Tou collEct data from a random sample of 11 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: Hours 3 2.9 2.5 2.5 3 2.7 2.4 2.7 3 3 What is a point estimate for the population mean length of time. (Round answer to 2 decimal places) 2.79 What must be true in order to construct a confidence interval in this situation?

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b Answered: What is a point estimate for the... | bartleby
b Answered: An engineer wishes to determine the... | bartleby
Suppose you are a researcher in a hospital. You are experimenting with a new tranqunizer. You collEtt data
from a random sample of 11 patients. The period of effectiveness of the tranquilizer for each patient (in
hours) is as follows:
Hours
3
3
2.9
2.5
2.5
3
2.7
2.4
2.7
3
3
What is a point estimate for the population mean length of time. (Round answer to 2 decimal places)
2.79
What must be true in order to construct a confidence interval in this situation?
The population must be approximately normal
Construct a 90% confidence interval for the population mean length of time. (Round upper and lower bounds
to 2 decimal places.)
What does it mean to be "90% confident" in this problem?
There is a 90% chance that the confidence interval contains the sample mean time.
The confidence interval contains 90% of all sample times.
90% of all times will fall within this interval.
O 90% of all confidence intervals found using this same sampling technique will contain the population
mean time.
Suppose that the company releases a statement that the mean time for all patients is 2 hours.
Is this possible?
Transcribed Image Text:Safari File Edit View History Bookmarks Window Help Sun 10:16 A myopenmath.com МyOpenMath b Answered: What is a point estimate for the... | bartleby b Answered: An engineer wishes to determine the... | bartleby Suppose you are a researcher in a hospital. You are experimenting with a new tranqunizer. You collEtt data from a random sample of 11 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: Hours 3 3 2.9 2.5 2.5 3 2.7 2.4 2.7 3 3 What is a point estimate for the population mean length of time. (Round answer to 2 decimal places) 2.79 What must be true in order to construct a confidence interval in this situation? The population must be approximately normal Construct a 90% confidence interval for the population mean length of time. (Round upper and lower bounds to 2 decimal places.) What does it mean to be "90% confident" in this problem? There is a 90% chance that the confidence interval contains the sample mean time. The confidence interval contains 90% of all sample times. 90% of all times will fall within this interval. O 90% of all confidence intervals found using this same sampling technique will contain the population mean time. Suppose that the company releases a statement that the mean time for all patients is 2 hours. Is this possible?
Expert Solution
Step 1

Given, the data from a random sample of n=11 patients regarding the period of effectiveness of tranquilizer for each patient.

α=1-0.90=0.10

The point estimate for the population mean length of time is obtained as-

mean(x)=3+3+2.9+2.5+2.5+3+....+311=30.711=2.79

In order to construct a confidence interval in this situation  "The population must be approximately normal"

The required standard deviation for the sample is obtained as-

Standard deviation s=111-1×3-2.792+3-2.792+2.9-2.792+2.5-2.792+....+3-2.792=110×0.569091=0.239

The degrees of freedom is obtained as-

df=n-1=11-1=10

 

 

 

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