Question

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:

2.9

3.3

2.5

2.9

3

2.4

2

2.5

2.4

2.5

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? normal distribution t-distribution

c. Why?

d. What must be true in order to construct a confidence interval in this situation? The population standard deviation must be known The population mean must be known The sample size must be greater than 30 The population must be approximately normal

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. The confidence interval contains 95% of all samples 95% of all simple random samples of size 11 from this population will result in confidence intervals that contain the population mean There is a 95% chance that the confidence interval contains the population mean

h. Suppose that the company releases a statement that the mean time for all patients is 2 hours.

Is this possible? No Yes

Is it likely? No Yes

Answer 1

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