An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiveness of the new method was evaluated in a simulation study. In 50 simulations, the mean improvement in traffic flow in a particular intersection was 652.6 vehicles per hour, with a standard deviation of 311.7 vehicles per hour. Find a 98% confidence interval for the improvement in traffic flow due to the new system. Round the answers to three decimal places. The 98% confidence interval is

The 98% confidence interval is (546.586 ,758.614).

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 50

Sample mean = 652.6 vehicles per hour

Sample standard deviation = 311.7 vehicles per hour

98% confidence interval:

Putting the values, we get,  

The 98% confidence interval is (546.586 ,758.614).

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

i got 10.28 but that rounds up to 10.3