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)

Homework Answers

Answer #1

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)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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 51 acres. Suppose we randomly survey 38 farmers from 1940. a. In words, define the random variable X. b. In words, define the random variable X-bar c. Give the distribution of X-bar (Round your standard deviation to two decimal places.) d. The middle 50% of the distribution for X-bar, the bounds of which form the distance represented by the IQR, lies...
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 59 acres. Suppose we randomly survey 39 farmers from 1940. I.   In words, define the random variable X. II. In words, define the random variable X-bar? III. Give the distribution of X-bar. (Round your standard deviation to 2 decimal places) X ~ ____ ( ____, ____ ). IV. The middle 50% of the distribution for X-bar, the bounds of which form...
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 53 acres. Suppose we randomly survey 41 farmers from 1940. 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)
Suppose that the weight of open boxes of cereal in a home with children is uniformly...
Suppose that the weight of open boxes of cereal in a home with children is uniformly distributed from one to three pounds with a mean of two pounds and standard deviation of 0.5774. We randomly survey 64 homes with children. Part (a) In words, define the random variable X. the number of open boxes of cereal in the home the weight, in pounds, of open boxes of cereal the weight, in pounds, of the children in the home the number...
Suppose that the weight of open boxes of cereal in a home with children is uniformly...
Suppose that the weight of open boxes of cereal in a home with children is uniformly distributed from one to three pounds with a mean of two pounds and standard deviation of 0.5774. We randomly survey 64 homes with children. Part (a) In words, define the random variable X. the weight, in pounds, of the children in the homethe weight, in pounds, of open boxes of cereal    the number of open boxes of cereal in the homethe number of children in...
A certain mutual fund invests in both U.S. and foreign markets. Let x be a random...
A certain mutual fund invests in both U.S. and foreign markets. Let x be a random variable that represents the monthly percentage return for the fund. Assume x has mean μ = 1.9% and standard deviation σ = 0.7%. (a) The fund has over 425 stocks that combine together to give the overall monthly percentage return x. We can consider the monthly return of the stocks in the fund to be a sample from the population of monthly returns of...
Solutions for this exercise will not be posted. However, it is possible that questions from this...
Solutions for this exercise will not be posted. However, it is possible that questions from this exercise could appear on Midterm II. DEFINE ALL NOTATION!!!!! 1. Here is a pdf: . a) How do you know it is a continuous distribution? b) The constant a is positive. What is a? c) What is probability that the random variable X is equal to 1? d) What is F(-0.5)? e) What is the cdf of the random variable X? f) What is...
A certain mutual fund invests in both U.S. and foreign markets. Let x be a random...
A certain mutual fund invests in both U.S. and foreign markets. Let x be a random variable that represents the monthly percentage return for the fund. Assume x has mean μ = 1.8% and standard deviation σ = 0.5%. (a) The fund has over 225 stocks that combine together to give the overall monthly percentage return x. We can consider the monthly return of the stocks in the fund to be a sample from the population of monthly returns of...
A certain mutual fund invests in both U.S. and foreign markets. Let x be a random...
A certain mutual fund invests in both U.S. and foreign markets. Let x be a random variable that represents the monthly percentage return for the fund. Assume x has mean μ = 1.7% and standard deviation σ = 0.7%. (a) The fund has over 125 stocks that combine together to give the overall monthly percentage return x. We can consider the monthly return of the stocks in the fund to be a sample from the population of monthly returns of...
A certain mutual fund invests in both U.S. and foreign markets. Let x be a random...
A certain mutual fund invests in both U.S. and foreign markets. Let x be a random variable that represents the monthly percentage return for the fund. Assume x has mean μ = 1.9% and standard deviation σ = 0.5%. (a) The fund has over 500 stocks that combine together to give the overall monthly percentage return x. We can consider the monthly return of the stocks in the fund to be a sample from the population of monthly returns of...