In: Statistics and Probability
The Bugatti Veyron is the fastest and most expensive car in the world. Testing for horsepower is very difficult therefore only 15 test runs in the laboratory are shown below 1016 1020 980 1000 1001 997 1030 1100 1040 1020 1020 1001 1005 1080 1038
a. Find the sample mean and sample standard deviation
b. Find the probability the car has more than 1000 horsepower.
c. Find a 95% confidence interval for the true mean.
a)
X:The speed of car in horsepower
saple mean=x̅
mean=x̅=∑x/n=15348/15
sample mean=x̅=1023.2
n=number of cars=15
x | x-x̅ | (x-x̅)^2 | |
1016 | -7.2 | 51.84 | |
1020 | -3.2 | 10.24 | |
980 | -43.2 | 1866.24 | |
1000 | -23.2 | 538.24 | |
1001 | -22.2 | 492.84 | |
997 | -26.2 | 686.44 | |
1030 | 6.8 | 46.24 | |
1100 | 76.8 | 5898.24 | |
1040 | 16.8 | 282.24 | |
1020 | -3.2 | 10.24 | |
1020 | -3.2 | 10.24 | |
1001 | -22.2 | 492.84 | |
1005 | -18.2 | 331.24 | |
1080 | 56.8 | 3226.24 | |
1038 | 14.8 | 219.04 | |
Total= | 15348 | 0 | 14162.4 |
x̅=mean= | 1023.2 |