Your last submission pos 88 dep 16027263 is used for your score. In 1940 the ave

Question

Your last submission pos 88 dep 16027263 is used for your score. In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 56 acres. Suppose we randomly survey 45 farmers from 1940 Part (a) In words, define the random variable X O the number of US farms O the number of animals on a US farm the number of acres of a us farm O the number of square feet of a US farm Correct The random variable of interest is the size of a US farm in acres. Part (b) In words, define the random variable X O the average number of animals on a U.S. farm the average number of acres of a farm in the sample of 45 farmers O the average number of square feet of a farm in the sample of 45 farmers O the average number of farms in each state in the United States Correct The random variable of interest is the size of a farm, in acres, O Type here to search

Explanation / Answer

here std error of mean =std deviation/|(n)1/2 =8.35

variance =(8.35)2 =69.69

hence distribution of Xbar =N (174 ;69.69 ) (Note if 69.69 will not work try with 8.35 as in some place they takeSD)

for middle 50%^ lies at z=-/+0.6745

hence smaller value =mean -z*Std error =174-0.6745*8.35=168.37

larger value =179.63

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