**Question 1**
The brain volumes (cm³) of 50 brains vary from a low of 924 cm³ to a high of 1488 cm³. Use the range rule of thumb to estimate the standard deviation \(s\) and compare the result to the exact standard deviation of 170.6 cm³, assuming the estimate is accurate if it is within 15 cm³.
The estimated standard deviation is \(141 \text{ cm}^3\). (Type an integer or a decimal. Do not round.)
Compare the result to the exact standard deviation.
A. The approximation is not accurate because the error of the range rule of thumb's approximation is greater than 15 cm³.
B. The approximation is not accurate because the error of the range rule of thumb's approximation is less than 15 cm³.
C. The approximation is accurate because the error of the range rule of thumb's approximation is greater than 15 cm³.
D. The approximation is accurate because the error of the range rule of thumb's approximation is less than 15 cm³.
**Question 2**
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us?
84, 68, 34, 47, 5, 32, 15, 69, 91, 58, 83
Range = 86 (Round to one decimal place as needed.)
Sample standard deviation = 29 (Round to one decimal place as needed.)
Sample variance = ____ (Round to one decimal place as needed.)
**Question 3**
A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values are matched so that 10 subjects each have a systolic and diastolic measurement. Find the coefficient of variation for each of the two samples; then compare the variation.
Systolic: 120, 130, 156, 94, 154, 124, 114, 134, 128, 118
Diastolic: 78, 74, 76, 50, 91, 88, 56, 62, 71, 83
The coefficient of variation for the systolic measurements is ____%. (Type an integer or decimal rounded to one decimal place as needed.)
The coefficient of variation for the diastolic measurements is ____%. (Type an integer or decimal rounded to one decimal place as needed.)
**Question 4**
A hospital experiment involves two different waiting line configurations for patients arriving for admission. The waiting times (in seconds) are recorded with a single line configuration that feeds four stations and another configuration with individual lines at the four stations. Find the coefficient of variation for each of the two samples, and then compare the variation.
Click the icon to view the waiting time data.
Find the coefficient of variation of the single line data set: ____% (Type an integer or a decimal rounded to one decimal place as needed.)
Find the coefficient of variation of the individual lines data set: ____% (Type an integer or a decimal rounded to one decimal place as needed.)
Waiting Times:
Single Line: 388, 397, 400, 408, 428, 436, 446, 462, 462, 462
Individual Lines: 250, 323, 346, 371, 402, 464, 464, 508, 557, 598
**Question 5**
Use the body temperatures, in degrees Fahrenheit, listed in the accompanying table. The range of the data is 3.3°F. Use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the actual standard deviation of the data rounded to two decimal places, 0.73°F, assuming the goal is to approximate the standard deviation within 0.2°F.
Click the icon to view the table of body temperatures.
The estimated standard deviation is ____°F. (Round to two decimal places as needed.)
**Data Table:**
98.2, 99, 98.1, 98.4, 99, 97.9, 98.2, 98, 97.9, 99, 98.7, 99.2, 98.2, 96.6, 96.8, 98.8, 97.7, 97.4, 99.2, 97.7, 98, 98.5, 98.3, 97.1, 98.6, 97.2, 99, 98.4, 99.1, 97.7, 97.7, 97.8, 97.8, 99.9, 99.1, 99.4, 98.1, 97.7, 98.6, 98.8, 97, 98.7, 99.1, 98.7, 98, 97.8, 98.2, 98.1, 98.6, 98.1, 97.9, 99.1, 96.9, 97.2, 97.9, 96.8, 97.7, 96.9, 97.9, 98.1, 97.2, 98.5, 97.1, 97.4, 98.7, 98.9, 99.1, 98.5, 97.5, 98.3, 96.7, 97.3, 99.6, 98.1, 99.1, 98.6, 98.7, 98.4, 98.7, 99.1, 98.9, 98.9, 98.8, 97.4, 98.4, 97.8, 99, 99, 98.7, 98.4, 98.9, 96.7, 98.1, 98.7, 98.5, 97.4, 98.4, 99.3, 98.3, 98.1, 98.6, 97.7, 98.9, 97.6, 98.4, 96.7
**Question 6**
A group of adult males has foot lengths with a mean of 27.29 cm and a standard deviation of 1.37 cm. Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. Is the adult male foot length of 30.6 cm significantly low or significantly high? Explain.
Significantly low values are 24.55 cm or lower. (Type an integer or a decimal. Do not round.)
Significantly high values are 30.03 cm or higher. (Type an integer or a decimal. Do not round.)
Select the correct choice below and fill in the answer box(es) to complete your choice.
A. The adult male foot length of 30.6 cm is not significant because it is between ____ cm and ____ cm. (Type integers or decimals. Do not round.)
B. The adult male foot length of 30.6 cm is significantly high because it is greater than ____ cm. (Type an integer or a decimal. Do not round.)
C. The adult male foot length of 30.6 cm is significantly low because it is less than ____ cm. (Type an integer or a decimal. Do not round.)
