Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 8 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: 2.3 3 2.1 2.5 2.8 2 2.5 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? Ot-distribution O normal distribution C. Why?

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e. 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
f. Interpret the confidence interval in a complete sentence. Make sure you include units
g. Suppose that the company releases a statement that the mean time for all patients is 2 hours.
Is this possible?
O No
O Yes
Is it likely?
O No
O Yes
h. Use the results above and make an argument in favor or against the company's statement. Structure your
essay as follows:
1. Restate the company's claim and whether you agree with it or not.
2. Use the confidence interval to estimate the likelihood of the company's claim being true.
3. Suggest what the company should do.
Transcribed Image Text:e. 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 f. Interpret the confidence interval in a complete sentence. Make sure you include units g. Suppose that the company releases a statement that the mean time for all patients is 2 hours. Is this possible? O No O Yes Is it likely? O No O Yes h. Use the results above and make an argument in favor or against the company's statement. Structure your essay as follows: 1. Restate the company's claim and whether you agree with it or not. 2. Use the confidence interval to estimate the likelihood of the company's claim being true. 3. Suggest what the company should do.
Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data
from a random sample of 8 patients. The period of effectiveness of the tranquilizer for each patient (in
hours) is as follows:
2.3
3
2.1
2.5
2.8
2.
2.5
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?
O t-distribution
O normal distribution
C. Why?
d. What must be true in order to construct a confidence interval in this situation?
O The population must be approximately normal
O The sample size must be greater than 30
O The population mean must be known
O The population standard deviation must be known
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 8 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: 2.3 3 2.1 2.5 2.8 2. 2.5 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? O t-distribution O normal distribution C. Why? d. What must be true in order to construct a confidence interval in this situation? O The population must be approximately normal O The sample size must be greater than 30 O The population mean must be known O The population standard deviation must be known
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