Question

In: Statistics and Probability

According to www.epa.gov, the mean gas mileage of all 2019 cars and small SUVs was 27.3...

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

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

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

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

c. Suppose we were to make a histogram of the gas mileage of the 36 vehicles. The histogram would be a display of which of the following?

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 is repeated 20 times and a histogram of the 20 sample means is created. The histogram would be a display of which of the following?

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 sampling distribution?

Expert Solution

Solution:

a.

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

Answer:

c. Suppose we were to make a histogram of the gas mileage of the 36 vehicles. The histogram would be a display of which of the following?

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 is repeated 20 times and a histogram of the 20 sample means is created. The histogram would be a display of which of the following?

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 sampling distribution?

Answer: Sampling distribution of means

orchestra answered 2 years ago

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