The mean value of land and building per acre from a sample of farms if 1400 with a standard deviation of 100. the data set has a bell shaped distribution. Assume thenumber of farms in the sample 80.

A. Use the empirical rule to estimate the number of farms whose land and buildings values per acre between 1200 and 1600

B. If 24 additional farms were sampled, about how many of these additional farms would you expect to have land and building values between 1200 per acre and 1600 per acre?

Question

Reynaldo Bryant

Mathematics

11 April, 16:01

The mean value of land and building per acre from a sample of farms if 1400 with a standard deviation of 100. the data set has a bell shaped distribution. Assume thenumber of farms in the sample 80.

A. Use the empirical rule to estimate the number of farms whose land and buildings values per acre between 1200 and 1600

B. If 24 additional farms were sampled, about how many of these additional farms would you expect to have land and building values between 1200 per acre and 1600 per acre?

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Answers (1)

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Apple Jack · Answer 1

Answer:A) 54 farms

B) 16 farms

Step-by-step explanation:

Y (1200) = (1200-1400) / 100 = - 200/100

Y (1200) = - 2

Y (1600) = 1600-1400) / 100

Y (1600) = 200/100 = 2

P (1200-1600) = (2y<-2)

2 standard deviation from the range = 68%=0.68

80 farms * 0.68 = 54.4 approximately 54

B) 24 * 0.68 = 16.32 approximately 16