Question

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: Hours 2.5 2.6 2.9 3 2.4 3 2.7 2.7 2.1 2.8 2.9 2.2 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

Answer 1

Ans:

a)

Point estimate for population mean=sample mean=2.6000

b)

Population distribution should be normal.

c)sample standard deviation

df=13-1=12

critical t value=TINV(0.01,12)=3.0545

99% confidence interval for true mean length

=2.6000+/-3.0545*(0.339116/sqrt(13))

=2.6000+0.2873

=(2.3127, 2.8873)

d)Correct option is:

99% of all the confidence intervals found using this same sampling technique will contain the population mean time.

e)

No,2 does not fall within limits of above CI or as both limits are greater than 2.