Question

# In 1940 the average size of a U.S. farm was 174 acres. Let's say that the...

In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 58 acres. Suppose we randomly survey 41 farmers from 1940.

• Part (a)

In words, define the random variable X.

A) the number of animals on a U.S. farm

• B) the number of acres of a U.S. farm

• C) the number of square feet of a U.S. farm

• D) the number of U.S. farms

• Part (b)

In words, define the random variable X.

A) the average number of farms in each state in the United States

• B) the average number of acres of a farm in the sample of 41 farmers

• C) the average number of animals on a U.S. farm

• D) the average number of square feet of a farm in the sample of 41 farmers

• Part (c)

Give the distribution of X. (Round your standard deviation to two decimal places.)

X ~ ____(____,____)

• Part (d)

The middle 50% of the distribution for X, the bounds of which form the distance represented by the IQR, lies between what two values? (Round your answers to two decimal places.)
• ______ Acres (smaller value)
• ______ Acres (Larger value)

Part (a)

• B) the number of acres of a U.S. farm

Part (b)

• B) the average number of acres of a farm in the sample of 41 farmers

Part (c)

Ans : Xbar~N(174, 9.06)

Part (d)

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