Question

Suppose you are a researcher in a hospital. You are experimenting with a new random sample of 13 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: tranquilizer. You collect data from a Hours 2.2 2.7 2.1 2.6 2.6 2.3 2.4 2 2.4 2.1 2.9 2.2 2.5 a) What is a point estimate for the population mean length of time. (Round answer to 4 decimal places) b) What must be true in order to construct a confidence interval in this situation? Select an answer The population mean must be known The population standard deviation must be known opulation mean length of time. Enter your answer nd upper and lower bounds to 4 decimal places as an open-interval C The population must be approximately normal The sample size must be greater than 30

Is this possible? yes or no

Is it likely? yes or no

Answer 1

using minitab

using one sample t test we have following outputs

One-Sample T: hours

Variable N Mean StDev SE Mean 98% CI
hours 13 2.3846 0.2672 0.0741 (2.1859, 2.5833)

a ) point estimate for the population mean length of time is 2.3846

b) the population must be approximately normal

c ) the 98% confidence interval is   (2.1859, 2.5833)

d ) 98% of all  confidence interval found using the same sampling technique will contain the population mean time

e ) no this is not possible because confidence interval do not contain 2

f) yes