Homework SourseAt Cedar Point one of the most famous rides there is the Top
At Cedar Point one of the most famous rides there is the Top Thrill Dragster. The roller coaster, which sends riders 420 feet into the air and back down in 17 seconds, has an average launch speed of 120 mph.On a particularly windy day the park officials decided to test the launch speed of the coaster before the park opened. A sample of 8 launches was taken and the average speed recorded was 118 mph with a standard deviation of 4 mph.
A. Construct a 95% tolerance interval for the speed on 90% of the launches.
B. Construct a 99% tolerance interval for the speed on 99% of the launches.
Solution
At Cedar Point one of the most famous rides there is the Top Thrill Dragster. The roller coaster, which sends riders 420 feet into the air and back down in 17 seconds, has an average launch speed of 120 mph.On a particularly windy day the park officials decided to test the launch speed of the coaster before the park opened. A sample of 8 launches was taken and the average speed recorded was 118 mph with a standard deviation of 4 mph.
MINITAB used for analysis
A. Construct a 95% tolerance interval for the speed on 90% of the launches.
Tolerance Interval
Method
Confidence level 95%
Percent of population in interval 90%
Statistics
N Mean StDev
8 118.000 4.000
95% Tolerance Interval
Nonparametric Achieved
Normal Method Method Confidence
(105.376, 130.624) (x[1], x[8]) 18.7%
x[i] denotes the ith smallest observation.
Achieved confidence level applies only to nonparametric method
Answer =(105.376, 130.624)
B. Construct a 99% tolerance interval for the speed on 99% of the launches.
Tolerance Interval
Method
Confidence level 99%
Percent of population in interval 99%
Statistics
N Mean StDev
8 118.000 4.000
99% Tolerance Interval
Nonparametric Achieved
Normal Method Method Confidence
(92.084, 143.916) (x[1], x[8]) 0.3%
x[i] denotes the ith smallest observation.
Achieved confidence level applies only to nonparametric method
Answer =(92.084, 143.916)
