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Q:
If a distribution for a quantitative variable is thought to be nearly symmetric with very little variation, and a box and whisker plot is created for this distribution, which of the following is true?
A) The box will be quite wide but the whisker will be very short.
B) The left and right-hand edges of the box will be approximately equal distance from the median.
C) The whiskers should be about half as long as the box is wide.
D) The upper whisker will be much longer than the lower whisker.
Q:
At a sawmill in Oregon, a process improvement team measured the diameters for a sample of 1,500 logs. The following summary statistics were computed: Given this information, for a box and whisker plot which of the following statements is appropriate?
A) Seventy-five percent of the trees in the sample have values between 8.9 in. and 15.6 in.
B) Virtually all of the data should fall between 0 in. and 25.65 in.
C) No tree will have a diameter of more than 22.3 in.
D) Fifty percent of the trees will have diameters between 13.5 in. and 15.6 in.
Q:
At a sawmill in Oregon, a process improvement team measured the diameters for a sample of 1,500 logs. The following summary statistics were computed: Given this information, which of the following statements is correct?
A) The distribution of log diameters is symmetric.
B) A log that is over 20 inches in diameter can be considered an outlier.
C) The distribution of log diameters is right-skewed.
D) The distribution is left-skewed.
Q:
At a sawmill in Oregon, a process improvement team measured the diameters for a sample of 1,500 logs. The following summary statistics were computed: Given this information, in a box and whisker plot, which of these four values will NOT appear?
A) 8.9 in.
B) 13.5 in.
C) 15.6 in.
D) 14.2 in.
Q:
At a sawmill in Oregon, a process improvement team measured the diameters for a sample of 1,500 logs. The following summary statistics were computed: Given this information, the boundaries on the box in a box and whisker plot are:
A) 8.9 in and 15.6 in.
B) 13.5 in 1.5 (Q3-Q1).
C) 14.2 in 1.5 (Q3-Q1).
D) 8.9 in and 14.2 in.
Q:
If a data set has 1,133 sorted values, what value corresponds to the 3rd quartile?
A) The 250th value
B) The 850th value
C) The 760th value
D) The 849th value
Q:
If a data set has 740 values that have been sorted from low to high, which value in the data set will be the 20th percentile?
A) The average of the 148th and 149th values
B) The 20th value
C) The 148th value
D) None of the above
Q:
A large retail company gives an employment screening test to all prospective employees. If a prospective employee receives a report saying that she scored at the 40th percentile:
A) she scored above the median.
B) she scored better than 40 percent of people who took the test.
C) she scored in the top 40 percent of people who took the test.
D) her z-score was a 40.
Q:
A large retail company gives an employment screening test to all prospective employees. Franklin Gilman recently took the test and it was reported back to him that his score placed him at the 80th percentile. Therefore:
A) 80 people who took the test scored below Franklin.
B) Franklin scored as high or higher than 80 percent of the people who took the test.
C) Franklin was in the bottom 20 percent of those that have taken the test.
D) Franklin's score has a z-score of 80.
Q:
A major retail store has studied customer behavior and found that the distribution of time customers spend in a store per visit is symmetric with a mean equal to 17.3 minutes. Based on this information, which of the following is true?
A) The distribution is right-skewed.
B) The median is to the right of the mean.
C) The median is approximately 17.3 minutes.
D) The median is to the left of the mean.
Q:
A sample of people who have attended a college football game at your university has a mean = 3.2 members in their family. The mode number of family members is 2 and the median number is 2.0. Based on this information:
A) the population mean exceeds 3.2.
B) the distribution is bell-shaped.
C) the distribution is right-skewed.
D) the distribution is left-skewed.
Q:
A small company has 7 employees. The numbers of years these employees have worked for this company are shown as follows: 4
14
3
16
9
8
16 Based upon this information, the mode number of years that employees have been with this company is:
A) 16
B) 2
C) 9
D) 10
Q:
A small company has 7 employees. The numbers of years these employees have worked for this company are shown as follows: 4
14
3
16
9
8
16 Based upon this information, the median number of years that employees have been with this company is:
A) 9 years.
B) 16 years.
C) 10 years.
D) 14 years.
Q:
A small company has 7 employees. The numbers of years these employees have worked for this company are shown as follows: 4
14
3
16
9
8
16 Based upon this information, the mean number of years that employees have been with this company is:
A) 16
B) C) 8.40
D) 10
Q:
Consider the following sample data: 25
11
6
4
2
17
9
6 For these data the median is:
A) 7.5
B) 3.5
C) 10
D) None of the above
Q:
Consider the following sample data: 25
11
6
4
2
17
9
6 For these data the sample mean is:
A) 8
B) 10
C) 3
D) 12
Q:
The most frequently used measure of central tendency is:
A) median.
B) mean.
C) mode.
D) middle value.
Q:
Which of the following statements is true?
A) The mean of a population will always be larger than the population standard deviation.
B) The mean of the population will generally be larger than the mean of the sample selected from that population.
C) The population mean and a sample mean for a sample selected from that population will usually be different values.
D) The population mean and sample mean will always be identical.
Q:
If a business manager selected a sample of customers and computed the mean income for this sample of customers, she has computed:
A) a statistic.
B) an ordinal value.
C) a nominal value.
D) a parameter.
Q:
A population measure, such as the population mean, is called a:
A) statistic.
B) parameter.
C) prime number.
D) sample value.
Q:
The distribution of dollars paid for car insurance by car owners in a major east coast city is bell-shaped with a mean equal to $750 every six months and a standard deviation equal to $100. Based on this information we should use Tchebysheff's theorem to determine the conservative percentage of car owners that will pay between $550 and $950 for car insurance.
Q:
The distribution of bankcard balances for customers is highly right-skewed with a mean of $1,100 and a standard deviation equal to $250. Based on this information, approximately 68 percent of the customers will have bank balances between $850 and $1,350.
Q:
A major automobile maker has two models of sedans. The first model has been shown to get an average of 27 mpg on the highway with a standard deviation equal to 5 mpg. The second model gets 33 mpg on average with a standard deviation of 8 mpg. Based on this information the first car model is relatively more variable than the second car model.
Q:
Based on the empirical rule we can expect about 95 percent of the values in bell-shaped distributions to be within one standard deviation of the mean.
Q:
The credit card balances for customers at State Bank and Trust has a mean equal to $800 and a standard deviation equal to $60.00. Kevin Smith's balance is $1,352. Based on this, his standardized value is 9.20.
Q:
Suppose a distribution has a mean of 80 and standard deviation of 10. It is found that 84 percent of the values in the data set lie between 70 and 90. This implies that the distribution is not bell-shaped.
Q:
Based on the empirical rule we can assume that all bell-shaped distributions have approximately 95 percent of the values within 2 standard deviations of the mean.
Q:
Acme Taxi has two taxi cabs. The manager tracks the daily revenue for each cab. Over the past 20 days, Cab A has averaged $76.00 per night with a standard deviation equal to $11.00. Cab B has averaged $200.00 per night with a standard deviation of $18.00. Based on this information, the coefficient of variation for Cab B is 9 percent.
Q:
Acme Taxi has two taxi cabs. The manager tracks the daily revenue for each cab. Over the past 20 days, Cab A has averaged $76.00 per night with a standard deviation equal to $11.00. Cab B has averaged $200.00 per night with a standard deviation of $18.00. Based on this information, Cab B has the greatest relative variation.
Q:
Consider a situation involving two populations where population 1 is known to have a higher coefficient of variation than population 2. In this situation, we know that population 1 has a higher standard deviation than population 2.
Q:
In comparing two distributions with the same mean, the coefficient of variation is the only way to assess which distribution has the greatest relative variability.
Q:
Populations with larger means will also have larger standard deviations since the data will be more spread out for populations with larger means.
Q:
Suppose the standard deviation for a given sample is known to be 20. If the data in the sample are doubled, the standard deviation will be 40.
Q:
The advantage of using the interquartile range as a measure of variation is that it utilizes all the data in its computation.
Q:
If a population standard deviation is computed to be 345, it will almost always be the case that a standard deviation computed from a random sample from that population will be larger than 345.
Q:
For a given set of data, if the data are treated as a population, the calculated standard deviation will be less than it would be had the data been treated as a sample.
Q:
The interquartile range contains the middle 50 percent of a data set.
Q:
A store manager tracks the number of customer complaints each week. The following data reflect a random sample of ten weeks. 11
19
4
6
8
9
6
4
0
3 The standard deviation for these data is approximately 27.78.
Q:
A store manager tracks the number of customer complaints each week. The following data reflect a random sample of ten weeks. 11
19
4
6
8
9
6
4
0
3 The variance for these data is approximately 27.78.
Q:
A store manager tracks the number of customer complaints each week. The following data reflect a random sample of ten weeks. 11
19
4
6
8
9
6
4
0
3 The range for these data is 8.
Q:
The interquartile range is the difference between the mean and the median.
Q:
One of the reasons that the standard deviation is preferred as a measure of variation over the variance is that the standard deviation is measured in the original units.
Q:
The Good-Guys Car Dealership has tracked the number of used cars sold at its downtown dealership. Consider the following data as representing the population of cars sold in each of the 8 weeks that the dealership has been open. 3
5
2
7
7
7
9
0 The population standard deviation is approximately 2.87 cars.
Q:
The Good-Guys Car Dealership has tracked the number of used cars sold at its downtown dealership. Consider the following data as representing the population of cars sold in each of the 8 weeks that the dealership has been open. 3
5
2
7
7
7
9
0 The population variance is approximately 9.43.
Q:
The Good-Guys Car Dealership has tracked the number of used cars sold at its downtown dealership. Consider the following data as representing the population of cars sold in each of the 8 weeks that the dealership has been open. 3
5
2
7
7
7
9
0 The population range is 9.
Q:
When a variance is calculated for a data set, the resulting value is the same regardless of whether the data set is treated as a population or a sample.
Q:
The range is an ideal measure of variation since it is not sensitive to extreme values in the data.
Q:
A dairy farm in Wisconsin bottles milk in one gallon containers. At a recent meeting, the production manager asked top management for a new filling machine that he argued would assure that all containers had exactly one gallon of milk. Based on sound statistical principles, the top management group should conclude that the production manager could have merit to his argument.
Q:
When surveyed, a sample of 1,250 patients at a regional hospital provided interviewers with the following summary statistics pertaining to the hospital charges:
Minimum = $278.00 Q1 = $1,245 Q2 = $3,567 Q3= $4,702.
Based on these data, the distribution is seen to be symmetric.
Q:
When surveyed, a sample of 1,250 patients at a regional hospital provided interviewers with the following summary statistics pertaining to the hospital charges:
Minimum = $278.00 Q1 = $1,245 Q2 = $3,567 Q3= $4,702.
Based on these data, if you were to construct a box and whisker plot, the value $278 would be considered an outlier.
Q:
When surveyed, a sample of 1,250 patients at a regional hospital provided interviewers with the following summary statistics pertaining to the hospital charges:
Minimum = $278.00 Q1 = $1,245 Q2 = $3,567 Q3= $4,702.
Based on these data, if you were to construct a box and whisker plot, the value corresponding to the right-hand edge of the box would be $4,702.
Q:
In drawing a box and whisker plot the upper limit length of the whiskers is 1.5(Q3-Q1).
Q:
A recent study involving a sample of 3,000 vehicles in California showed the following statistics related to the number of miles driven per day: Q1 = 12, Q2 = 45, and Q3 = 56. Based on these data, if a box and whisker plot is developed, the upper limit value is 122 miles.
Q:
A recent study involving a sample of 3,000 vehicles in California showed the following statistics related to the number of miles driven per day: Q1 = 12, Q2 = 45, and Q3 = 56. Based on these data, if a box and whisker plot is developed, a value of 110 is an outlier.
Q:
A recent study involving a sample of 3,000 vehicles in California showed the following statistics related to the number of miles driven per day: Q1 = 12, Q2 = 45, and Q3 = 56. Based on these data, we know that the distribution is skewed.
Q:
The right and left edges of the box in a box and whisker plot represent the 3rd and 1st quartiles, respectively.
Q:
A box and whisker plot shows where the mean value falls relative to the median for a variable.
Q:
It is possible for a set of data to have multiple modes as well as multiple medians, but there can be only one mean.
Q:
Recently an article in a newspaper stated that 75 percent of the households in the state had incomes of $20,200 or below. Given this input, it is certain that mean household income is less than $20,200.
Q:
If the mean value of a variable is 200 and the median is 150, the third quartile must be at least 200.
Q:
A set of data is considered to be symmetric if the 3rd quartile is three times larger than the 1st quartile.
Q:
If a set of data has 540 values, the 3rd quartile corresponds to approximately the 135th value when the data have been arranged in numerical order.
Q:
If a set of data has 1,500 values, the 30th percentile value will correspond to the 450th value in the data when the data have been arranged in numerical order.
Q:
The second quartile for a set of data will have the same value as the 50th percentile only when the data are symmetric.
Q:
When the median of a data set is 110 and the mean is 127, the percentile associated with the mean must be higher than 50 percent.
Q:
When analyzing annual incomes of adults in a market area, the marketing manager's report indicated that the 90th percentile is $123,400. That means that 90 percent of the adult incomes in the market area fall at or below $123,400.
Q:
First Pacific Bank has determined that the mean checking account balance for all its customers is currently $743.50. Based on this, it is fair to say that about half the customers have balances exceeding $743.50.
Q:
A data set in which the mean, median, and mode are all equal is said to be a skewed distribution.
Q:
Suppose a study of houses that have sold recently in your community showed the following frequency distribution for the number of bedrooms: Bedrooms
Frequency 1
1 2
18 3
140 4
57 5
11 Based on this information, it is possible to determine that the distribution of bedrooms in homes sold is right-skewed.
Q:
Suppose a study of houses that have sold recently in your community showed the following frequency distribution for the number of bedrooms: Bedrooms
Frequency 1
1 2
18 3
140 4
57 5
11 Based on this information, the median number of bedrooms in houses sold is 3.20.
Q:
Suppose a study of houses that have sold recently in your community showed the following frequency distribution for the number of bedrooms: Bedrooms
Frequency 1
1 2
18 3
140 4
57 5
11 Based on this information the mean number of bedrooms in houses that sold is approximately 3.26.
Q:
Suppose a study of houses that have sold recently in your community showed the following frequency distribution for the number of bedrooms: Bedrooms
Frequency 1
1 2
18 3
140 4
57 5
11 Based on this information, the mode for the data is 140.
Q:
One of the primary advantages of using the median as a measure of the center for a set of data is that the median is not affected by extreme values in the data.
Q:
In a recent study of the sales prices of houses in a Midwestern city, the mean sales price has been reported to be $167,811 while the median sales price was $155,600. From this information, you can determine that the data involved in the study are left-skewed.
Q:
A distribution is said to be symmetric when the sample mean and the population mean are equal.
Q:
You are given the following data: 23
34
11
40
25
47 Assuming that these data are a sample selected from a larger population, the median value for these sample data is 25.5.
Q:
You are given the following data: 9
11
14
22
31 Assuming that these data reflect the population of interest, these data can be considered symmetric.
Q:
When news articles report on household income level they usually report the median income, rather than the mean income. This would be because income is usually a right-skewed distribution.
Q:
The sample mean is an estimate of μ and may be either higher or lower than μ depending on the sample.
Q:
Data are considered to be right-skewed when the mean lies to the right of the median.