For each of the following questions state whether or not you

For each of the following questions, state whether or not you would expect the distribution of data to be approximately normal. (Assume all of the data comes from the US.) If you think it would not be normal, explain why not. If you do think it would be approximately normal, give a reasonable guess of the mean and standard deviation. Each question is worth 2 pts.

1. The number of miles driven last year by licensed drivers

2. The distance from home to work of people who choose walking as their primary commute mode

3. The distance from home to work of people who choose driving as their primary commute mode

4. The number of miles a car is driven before it is scrapped

5. Today\'s price of regular gasoline at gas stations

Solution

1)

Yes is come from a normal distribution

as we know the populations is a normal distribution since the values of the population in the bottom and top are fewer than in the middle of the population

and if the licensed drivers come from a normal distribution we can conclude that they are normally distributed too

2)

Yes because it can be a greater or smaller values that the people walk from home to work it depends in how much walking

3)

the same as 2) but for this is driving

4)

No because the miles of a car only can be greater than before

that means that the distribution grow at the top of the data

5)

the regualr gasoline at gas statisons we can say that is not a normally distribution because we can\'t predicted

when the price will be smaller, always the price is bigger and bigger