# Business Statistics Questions

A certain type of concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The concrete is poured into casting cylinders and allowed to set for 28 days. The concrete’s strength is then measured. The following data represent the strength of nine randomly selected casts (in psi). Compute the mean, median, and mode strength of the concrete (in psi). 4000 4090 3230 3070 2960 3810 4090 4040 3740 Compute the mean strength. Select the correct choice below and fill in the answer box to complete your choice. O A. The mean strength is (Round to two decimal places as needed.) OB. The mean does not exist. Compute the median strength. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The median strength is (Round to two decimal places as needed.) OB. The median does not exist. Compute the mode strength. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The mode strength is (Round to two decimal places as needed. Use a comma to separate answers as needed.) OB. The mode does not exist. Explain the meaning of the accompanying percentiles.

(a) The 15th percentile of the head circumference of males 3 to 5 months of age in a certain city is 41.5 cm.

(b) The 95th percentile of the waist circumference of females 2 years of age in a certain city is 52.7 cm.

(c) Anthropometry involves the measurement of the human body. One goal of these measurements is to assess how body measurements may be changing over time. The following table represents the standing height of males aged 20 years or older for various age groups in a certain city in 2015. Based on the percentile measurements of the different age groups, what might you conclude? Click the icon to view the data table for part c.

(a) Explain the meaning of “The 15th percentile of the head circumference of males to 5 months of age in a certain city is 41.5 cm.” Choose the correct answer below. O A. 15% of males have a head circumference that is 41.5 cm or less. OB. 15% of 3- to 5-month-old males have a head circumference that is 41.5 cm or more. O C. 15% of 3- to 5-month-old males have a head circumference that is 41.5 cm or less. OD. 85% of 3- to 5-month-old males have a head circumference that is 41.5 cm or less.

(b) Explain the meaning of “The 95th percentile of the waist circumference of females 2 years of age in a certain city is 52.7 cm.” Choose the correct answer below. O A. 95% of 2-year-old females have a waist circumference that is 52.7 cm or more. O B. 95% of 2-year-old females have a waist circumference that is 52.7 cm or less. OC. 95% of females have a waist circumference that is 52.7 cm or less. OD. 5% of 2-year-old females have a waist circumference that is 52.7 cm or less.

(c) Anthropometry involves the measurement of the human body. One goal of these measurements is to assess how body measurements may be changing over time. The included table represents the standing height of males aged 20 years or older for various age groups in a certain city in 2015. Based on the percentile measurements of the different age groups, what might you conclude? as the age increases. Assuming that an adult male does not grow after age 20, the percentiles imply that adults born in 1990 are generally At each percentile, the heights generally than adults who were born in 1950. In a certain city, the average 20-to 29-year old man is 72.5 inches tall, with a standard deviation of 3.0 inches, while the average 20-to 29-year old woman is 64.5 inches tall, with a standard deviation of 3.8 inches. Who is relatively taller, a 75-inch man or a 70-inch woman? Find the corresponding Z-scores.

Who is relatively taller, a 75-inch man or a 70-inch woman? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. The Z-score for the woman, is smaller than the Z-score for the man, so she is relatively taller. OB. The Z-score for the woman, is larger than the Z-score for the man, so she is relatively taller. OC. The Z-score for the man, is larger than the Z-score for the woman, so he is relatively taller. OD. The Z-score for the man, is smaller than the Z-score for the woman, so he is relatively taller.

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