The mean value of land and buildings per acre from a sample of farms is $1800, with a standard deviation of $200. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 70. (a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1600 and $2000. farms (Round to the nearest whole number as needed.) (b) If 26 additional farms were sampled, about how many of these additional farms would you expect to have land and building values between $1600 per acre and $2000 per acre? farms out of 26 (Round to the nearest whole number as needed.)

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### Statistical Analysis of Farm Land Values

The mean value of land and buildings per acre from a sample of farms is $1800, with a standard deviation of $200. The data set exhibits a bell-shaped distribution. Assume the number of farms in the sample is 70.

#### (a) Estimation Using the Empirical Rule

Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1600 and $2000.

____ (Enter the number of farms and round to the nearest whole number as needed.)

#### (b) Estimation with Additional Samples

If 26 additional farms were sampled, estimate how many of these additional farms would be expected to have land and building values between $1600 per acre and $2000 per acre.

____ (Enter the number of farms out of 26 and round to the nearest whole number as needed.)
Transcribed Image Text:### Statistical Analysis of Farm Land Values The mean value of land and buildings per acre from a sample of farms is $1800, with a standard deviation of $200. The data set exhibits a bell-shaped distribution. Assume the number of farms in the sample is 70. #### (a) Estimation Using the Empirical Rule Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1600 and $2000. ____ (Enter the number of farms and round to the nearest whole number as needed.) #### (b) Estimation with Additional Samples If 26 additional farms were sampled, estimate how many of these additional farms would be expected to have land and building values between $1600 per acre and $2000 per acre. ____ (Enter the number of farms out of 26 and round to the nearest whole number as needed.)
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