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:  Hours 2.5 2.5 2.9 3 2.2 2.4 2.7 2.5 2.4 2.3 2.6 1.) Construct a 99% confidence interval for the population mean length of time. (Round upper and lower bounds to 2 decimal places.) What does it mean to be "99% confident" in this problem?  a) There is a 99% chance that the confidence interval contains the sample mean time. b) 99% of all times will fall within this interval. c) The confidence interval contains 99% of all sample times. d) 99% of all confidence intervals found using this same sampling technique will contain the population mean time. 3.) Suppose that the company releases a statement that the mean time for all patients is 2 hours.    Is this possible?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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: 

Hours
2.5
2.5
2.9
3
2.2
2.4
2.7
2.5
2.4
2.3
2.6

1.) Construct a 99% confidence interval for the population mean length of time. (Round upper and lower bounds to 2 decimal places.)

What does it mean to be "99% confident" in this problem? 

a) There is a 99% chance that the confidence interval contains the sample mean time.

b) 99% of all times will fall within this interval.

c) The confidence interval contains 99% of all sample times.

d) 99% of all confidence intervals found using this same sampling technique will contain the population mean time.

3.) Suppose that the company releases a statement that the mean time for all patients is 2 hours.    Is this possible?

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