Damage to Homes Caused by Burst Piping Can Be Expensive

Damage to homes caused by burst piping can be expensive to repair. By the time the leak is discovered, hundreds of gallons of water may have already flooded the home. Automatic shutoff valves can prevent extensive water damage from plumbing failures. The valves contain sensors that cut off water flow in the event of a leak, thereby preventing flooding. One important characteristic is the time (in milliseconds) required for the sensor to detect the water leak. Sample data obtained for four different shutoff valves are contained in the file entitled Waterflow. Use the Tukey-Kramer multiple comparison technique to discover any differences in the average detection time. Use a significance level of 0.05.

A) The confidence intervals indicate that there is not sufficient evidence to conclude that the average detection time for valve 1, 2, and 3 differ. There is, however, enough evidence to indicate that the average
Detection time for valve 4 is larger than the other three means.
B) The confidence intervals indicate that there is not sufficient evidence to conclude that the average detection time for valve 1, 2, and 4 differ. There is, however, enough evidence to indicate that the average
Detection time for valve 3 is larger than the other three means.
C) The confidence intervals indicate that there is not sufficient evidence to conclude that the average detection time for valve 2 and 4 differ. There is, however, enough evidence to indicate that the average
Detection time for valve 1 and 3 are larger than the other two means.
D) All mean detection times are equal.