# Suppose you are a researcher i

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 i

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?

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 i

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?

• 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 sample size must be greater than 30
• The population mean must be known
• 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.

• 95% of all simple random samples of size 9 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
• The confidence interval contains 95% of all samples

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?

• Yes
• No

# Suppose you are a researcher i

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.

# Suppose you are a researcher i

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 i

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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