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:

2.4, 2.1, 2.7, 2.5, 2.5, 2, 2, 2.3, 2, 2.9, and 3. What is a point estimate for the population mean length of time The margin of error is 0.19703528386093. 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

Answer 1

Sample mean =   X / n

= 2.4

Point estimate for the population mean = = 2.4

Given margin of error E = 0.19703528386093

90% confidence interval for is

- Z/2 * E < < + Z/2 * E

2.4 - 1.645 * 0.19703528386093 < < 2.4 + 1.645 * 0.19703528386093

2.08 < < 2.72

90% CI is ( 2.08 , 2.72 )