# According to www.epa.gov, the

According to www.epa.gov, the mean gas mileage of all 2019 carsand small SUVs was 27.3 mpg. Suppose the gas mileage of a randomsample of 36 cars and small SUVs found a mean of 24.2 mpg with astandard deviation of 6.8 mpg.

a. Fill in the following information – one is missing, leave itblank.

x bar= __________σ= __________? = __________s = __________n =__________.

b. Calculate the standard error and round your answer to 1decimal place: SE = ___________

c. Suppose we were to make a histogram of the gas mileage of the36 vehicles. The histogram would be a display of which of thefollowing?

Circle the best answer.(i) population distribution (iii)sampling distribution of means(ii) distribution of a sample (iv)Normal distribution.

d.Suppose the process of taking random samples of size 36 isrepeated 20 times and a histogram of the 20 sample means iscreated. The histogram would be a display of which of thefollowing?

Circle the best answer.(i) population distribution (iii)sampling distribution of means(ii) distribution of a sample (iv)Normal distribution. Which graph would have the least variation:population distribution, distribution of a sample, or a samplingdistribution?

Answer:

**Solution:**

a.

b. Calculate the standard error and round your answer to 1decimal place: SE

**Answer: **

c. Suppose we were to make a histogram of the gas mileage of the36 vehicles. The histogram would be a display of which of thefollowing?

Circle the best answer.(i) population distribution (iii)sampling distribution of means(ii) distribution of a sample (iv)Normal distribution.

**Answer: Distribution of a sample**

d.Suppose the process of taking random samples of size 36 isrepeated 20 times and a histogram of the 20 sample means iscreated. The histogram would be a display of which of thefollowing?

Circle the best answer.(i) population distribution (iii)sampling distribution of means(ii) distribution of a sample (iv)Normal distribution. Which graph would have the least variation:population distribution, distribution of a sample, or a samplingdistribution?

**Answer: Sampling distribution of means**