Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Question
Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 10 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: Hours 2.2 2.4 2.5 2.4 2.6 2.3 2.5 2.4 2.6 a) What is a point estimate for the population mean length of time. (Round answer to 4 decimal places) b) What must be true in order to construct a confidence interval in this situation? Select an answer c) Construct a 99% confidence interval for the population mean length of time.. Enter your answer as an open-interval (i.e., parentheses example (5.2314,8.1245)) Round upper and lower bounds to 4 decimal places. d) What does it mean to be "99% confident" in this problem? O There is a 99% chance that the confidence interval contains the sample mean time. O The confidence interval contains 99% of all sample times. 99% of all times will fall within this interval. 99% of all confidence intervals found using this same sampling technique will contain the population mean time. e) Suppose that the company releases a statement that the mean time for all patients is 2 hours. Is this possible? ? Is it likely? ?
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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 10 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: Hours 2.2 2.4 2.5 2.4 2.6 2.3 2.5 2.4 2.6 a) What is a point estimate for the population mean length of time. (Round answer to 4 decimal places) b) What must be true in order to construct a confidence interval in this situation? Select an answer c) Construct a 99% confidence interval for the population mean length of time.. Enter your answer as an open-interval (i.e., parentheses example (5.2314,8.1245)) Round upper and lower bounds to 4 decimal places. d) What does it mean to be "99% confident" in this problem? O There is a 99% chance that the confidence interval contains the sample mean time. O The confidence interval contains 99% of all sample times. 99% of all times will fall within this interval. 99% of all confidence intervals found using this same sampling technique will contain the population mean time. e) Suppose that the company releases a statement that the mean time for all patients is 2 hours. Is this possible? ? Is it likely? ?
b) What must be true in order to construct a confidence interval in this situation? Select an answer c) ( len lation mean V Select an answer val (i.e., and lower par bou The population standard deviation must be known d) \ problem? The sample size must be rval contains greater than 30 iple times. The population mean must be known same sampling е. e) ! tim The population must be approximately normal that the mean Is Is it likely? a
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Transcribed Image Text:b) What must be true in order to construct a confidence interval in this situation? Select an answer c) ( len lation mean V Select an answer val (i.e., and lower par bou The population standard deviation must be known d) \ problem? The sample size must be rval contains greater than 30 iple times. The population mean must be known same sampling е. e) ! tim The population must be approximately normal that the mean Is Is it likely? a
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