The mean value of land and buildings per acre from a sample of farms is ​$1600​, with a standard deviation of ​$200. The data set has a​ bell-shaped distribution. Assume the number of farms in the sample is 73. ​(a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between ​$1200 and ​$2000.

For a certain type of job, it costs a copany an average of $231 to train an employee to perform the task. The standard deviation is $5. Find the minimum percentage of data values that will fall in the range of $219 to $243. Use Chebyshev's theorem.

The mean height of Americans in 1776 was 67 inches with a standard deviation of 3 inches.  George Washington is believed to have been 6 ft 2 inches tall, or 74 inches.     Between what two heights (in inches) do 68% of the heights fall?   a.61 to 70 b.61 to 73 c.64 to 70

The income of trainess at a local mill are normally distributed with a mean of $1100 and a standard deviation of $150.  What percentage of trainees earn less than $900 a month?

The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of $235 and a standard deviation of $20. According to the standard deviation rule, almost 2.5% of the students spent more than what amount of money on textbooks in a semester? A. O $195 B. $215 C. $235 D. $275 E. $295

The mean value of land and buildings per acre from a sample of farms is ​$1400​, with a standard deviation of ​$200. The data set has a​ bell-shaped distribution. Assume the number of farms in the sample is 74.   Use the empirical rule to estimate the number of farms whose land and building values per acre are between ​$1000 and ​$1800. round to nearest tenth

The quantitative subtest of the Graduate Record Exam (GRE) has a mean of 500 and a standard deviation of 100. What GRE score would correspond to a z score of 1.50? a. 600 b. 500 c. 340 d. 650

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per​ hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour.​ (Assume the data set has a​ bell-shaped distribution.) Approximately nothing​% of vehicles travel between 65 miles per hour and 71 miles per hour.

A data set lists weights (Ib) of plastic discarded by households. The highest weight is 5.72 Ib, the mean of all of the weights is x= 2.345 lb, and the standard deviation of the weights is s =2.123 lb. a. What is the difference between the weight of 5.72 lb and the mean of the weights? b. How many standard deviations is that (the difference found in part (a))? c. Convert the weight of 5.72 Ib to a z score d. If we consider weights that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the weight of 5.72 Ib significant? a. The difference is lb. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z= (Round to two decimal places as needed.) d. The highest weight is