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?
Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 9 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows:
Hours |
---|
2.2 |
2.1 |
2.2 |
2.6 |
2.3 |
3 |
2.8 |
2.3 |
2.2 |
1)What is a point estimate for the population mean length of time. (Round answer to 2 decimal places)
2)What must be true in order to construct a confidence interval in this situation?
Select an answer:
a)The population mean must be known
b)The sample size must be greater than 30
c)The population must be approximately normal
d)The population standard deviation must be known
3)Construct a 98% confidence interval for the population mean length of time. (Round upper and lower bounds to 2 decimal places.)
( , )
4) What does it mean to be “98% confident” in this problem?
a)The confidence interval contains 98% of all sample times.
b)98% of all times will fall within this interval.
c)98% of all confidence intervals found using this same sampling technique will contain the population mean time.
d)There is a 98% chance that the confidence interval contains the sample mean time.
5) Suppose that the company releases a statement that the mean time for all patients is 2 hours.
Is this possible?
Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 9 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows:
2.1 |
2 |
2.7 |
2.5 |
2.5 |
2.4 |
2.6 |
2.9 |
2.8 |
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?
c. Why?
d. What must be true in order to construct a confidence interval in this situation?
e. Construct a 95% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.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 “95% confident” in this problem? Use the definition of confidence level.
h. Suppose that the company releases a statement that the mean time for all patients is 2 hours.
Is this possible?
Is it likely?
Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 13 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows:
2.5 |
2.2 |
2.2 |
2 |
2.2 |
3 |
2.1 |
2.2 |
2.2 |
2.2 |
2.2 |
2.7 |
2.4 |
Construct a 90% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.e., parentheses) Round upper and lower bounds to two decimal places.
I just need help with constructing the confidence interval please, thank you! Its the last question for this
Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 9 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows:
2.7 |
2.6 |
2.7 |
2.3 |
2.3 |
2.4 |
2.6 |
2.4 |
2.4 |
What is a point estimate for the population mean length of time. (Round answer to 4 decimal places) Correct
Construct a 99% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.e., parentheses) Use a critical value rounded to three decimal places. Round upper and lower bounds to two decimal places.
What does it mean to be “99% confident” in this problem? _________
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 |
---|
2.4 |
2.2 |
2.8 |
2.5 |
2.3 |
2.4 |
2.3 |
2.1 |
2.2 |
2.3 |
Construct a 95% confidence interval for the population mean length of time. (Round the critical value to 3 decimal places. Round upper and lower bounds to 2 decimal places.)
(, )
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