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?

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 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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