A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.57 hours, with a standard deviation of 2.36 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.26 hours, with a standard deviation of 1.63 hours. Construct and interpret a 95% confidence interval for the mean difference in leisure time between adults with no children and adults with children 12.

Let 1 represent the mean leisure hours of adults with no children under the age of 18 and 2 represent the mean leisure hours of adults with children under the age of 18.

The 95% confidence interval for 12 is the range from

nothing

hours to

nothing

hours.

(Round to two decimal places asneeded.)

What is the interpretation of this confidenceinterval?

A.

There is 95% confidence that the difference of the means is in the interval. Conclude that there is insufficientevidenceofa significant difference in the number of leisure hours.

B.

There is a 95% probability that the difference of the means is in the interval. Conclude that there is insufficient evidence of a significant difference in the number of leisure hours.

C.

There is a 95% probability that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours.

D.

There is 95% confidence that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours.