Question

In: Statistics and Probability

The Bugatti Veyron is the fastest and most expensive car in the world. Testing for horsepower...

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.

Solutions

Expert Solution

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

orchestra answered 1 year ago
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