stats for bats
Identify the type of data that would be used when the variable of interest is most-watched TV show.
Qualitative
A value in a dataset that is very different from the others is referred to as
Outlier
Identify the type of data that would be used when the variable of interest is a favorite baseball team.
Qualitative
identify the type of data that would be used when the variable of interest is brand of toothpaste.
Qualitative
Identify the type of data that would be used when the variable of interest is age of executives in Fortune 500 companies.
Quantitative continuous
Identify the type of data that would be used when the variable of interest is the distance to the closest movie theatre.
Quantitative continuous
Identify the type of data that would be used when the variable of interest is the time in line to buy groceries.
Quantitative continuous
A study was done to determine the age, number of times per week, and the duration (amount of time) of residents' use of a local park in San Jose. "Number of times per week" is what type of data?
Quantitative discrete
Identify the type of data that would be used when the variable of interest is the number of competing computer spreadsheet software packages.
Quantitative discrete
Identify the type of data that would be used when the variable of interest is the number of tickets sold to a concert.
Quantitative discrete
A common name for a Normal Distribution is
Bell Curve
Which of the following describes a distribution that has two modes?
Bimodal
Which of the following is true?
In a left-skewed distribution, the tail is to the left of the mean
Kyle's doctor told him that the z-score for his systolic blood pressure is 1.75. The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean µ = 125 and standard deviation σ = 14. Which of the following is the best interpretation of this standardized score?
Kyles's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.
The two parameters needed to calculate a Normal Distribution are
Mean and Standard deviation
Which two measures are the best to use when describing the center and spread of data?
Mean and standard deviation
Which measure of central tendency is the best to use for a skewed distribution?
Median
In this group of numbers: 12,14,16,17,12,14,17,13,15,14,18, how many modes are there?
1
What is the median of 12,14,16,17,12,14,17,13,15,14,18?
14
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days. What is the z-score for a patient who takes ten days to recover?
2.2
Researchers calculated the average weight of mixed breed dogs available for adoption in the United States using a representative sample. They determined that the mean is 45.2 lbs, and the standard deviation is 8.6. What range would include 68% of the dogs in terms of their weight?
36.6 to 53.8
If test scores are distributed normally with a mean of 175 and a standard deviation of 6, what percentage of the scores were less than 175?
50
What percentage of occurrences are less than the mean in a normal distribution? Give your answer as a percent
50%
What percentage of values in a normal distribution are more than the mean value? Give your answer as a percent
50%
For females the average height is 64 inches, and the standard deviation is 2.8. What range would the height of most women be? Enter the low end of the range in the first box, and the high end of the range in the second box.
61.2 and 66.8
Researchers calculated the average weight of mixed breed dogs available for adoption in the United States using a representative sample. They determined that the mean is 45.2 lbs, and the standard deviation is 8.6. Which of the following would be considered an unusual weight?
64.8
What percent of X values are within +/- one standard deviation of the mean?
68%
The percentages used in the Empirical Rule are:
68-95-99
Which of the following statements about histograms is false?
A histogram can be used to compute and compare the mean, median, and mode of a distribution
The probabilities for a continuous PDF are
Associated with the range of possible values
Continuous Probability Distribution functions are used with
Continuous data
The Miami Dolphins are one of the 35 teams in the NFL. This would be a:
Data Value
Which of the following is not another word for probability?
Estimate
Continuous PDFs can predict the probability of a specific event, such as the probability that the outcome will be exactly three.
False
It is more likely that X values are below the mean than above the mean.
False
The Empirical rule is different for different Normal Distributions
False
True/False: Normal Distributions never occur in nature.
False
True/False: The height of the normal curve represents the probability of getting a value in that range.
False
Which of the following examples could use the binomial probability distribution?
Number of people who responded yes to whether they saw a doctor in the past year
The sport of baseball uses many terms to describe how well a team is performing. One of those terms is home runs, which is the number of home runs hit by a single player or the team combined. What kind of variable would this be?
Quantitative discrete
The average height for males is 69". The height of the president of the tall club is 74 inches. This president's height would lie in the:
Right tail
A Normal Distribution with a large standard deviation will be
Shorter and more spread out
A Normal Distribution has the mean, median, and mode all being equal. This means that it is
Symmetric
State whether the following data are symmetrical, skewed to the left, or skewed to the right. 1; 1; 1; 2; 2; 2; 2; 3; 3; 3; 3; 3; 3; 3; 3; 4; 4; 4; 5; 5
Symmetrical
Unusual values are found:
Tail left/right
Which measure of center requires the values to be ordered from lowest to highest?
The median
What does a negative z-score mean?
The value observed is less than the mean
Compare these two sets of numbers Set 1: 12,14,16,17,12,14,17,13,15,14,18 Set 2: 12,12,14,18,12,14,17,13,15,14,18 Which of the following statements about the two sets is true?
The variance of set 2 is larger than the variance of set 1
Another way to state the Empirical Rule is to say that most values in a Normal Distribution are close to the mean.
True
True or False: Another name for the normal probability distribution is the bell-shaped curve.
True
True/False: A z-score measures the distance from the mean of a Normal Distribution
True
True/False: The Binomial PDF is a rare example of a discrete PDF that can be used to estimate a continuous function
True
What is the difference between a variable and a value?
Values are the data collected for a variable.
Which of the following statements is true?
Z-scores measure the distance from the mean of a Normal Distribution
What is not true about an outlier?
an outlier does not have an effect on the shape of the distribution
All of the following are examples of a continuous probability distribution except:
basketball free throws
All of the following are differences between discrete and continuous probability distributions except for:
continuous probability distributions can describe any variable
a normal variable that has values that are spread out:
has a larger standard deviation
An outlier:
is a value out of range of the other values
The most distinguishing feature of a normal curve is :
it has a pronounced central tendency
Continuous PDFs are used with data that is
measured
Kyle's doctor told him that the z-score for his systolic blood pressure is 1.75. The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean µ = 125 and standard deviation σ = 14. Should Kyle be concerned about his blood pressure?
no, kyle's blood pressure is in the usual range
The heights of the 430 National Basketball Association players were listed on team rosters at the start of the 2005-2006 season. The heights of basketball players have an approximately normal distribution with mean, µ = 79 inches and a standard deviation, σ = 3.89 inches. Given the height of 85 inches, calculate the z-score and determine whether 85 inches is an unusual height.
not unusual z = 1.5424.
All of the following are characteristics of a symmetric distribution except:
skewing
How would a store that sells women shoes use the normal distribution
stores stock more of the "usual" shoe sizes
the empirical rule does all of the following except:
tells us the probability of the variable values occurring
All the following are characteristics of a normal curve except::
the distribution can be used to find probabilities for a single value of the variable
In a left-skewed distribution:
the low values pull down the mean value
In a left-skewed distribution:
the tail of the histogram pulls left
All the following are characteristics of a normal curve except::
the values of the variable must have a large standard deviation
True/False: Many types of distributions can be converted into a Normal Distribution
true
True/False: The z-score is a standardized measure of a particular value (X) in terms of the Normal Distribution's mean and standard deviation.
true
A histogram can be used to determine
where most values lie if the curve is symmetric if there are outliers
The highest point in the histogram of a normal distribution is
where most values of the variable occur
If I wanted to calculate the winning percentages for each of the last five years for the New England Patriots football team, my variable would be:
winning percentages for the Patriots
Where do most values of a normally distributed variable lie?
within two standard deviations of the mean
When a z-score is negative it means
x is below the mean
To be a Rockette, a woman must be between the heights of 66" and 70.5". The average height for all women is 64". Would the height of the average woman be unusual for a Rockette?
yes
