18 Questions
What is the type of data represented by the pitch speed of Jacob deGrom?
Quantitative
What is the type of data represented by the sex of each patient in the doctor's study?
Qualitative
In the hotel's shuttle time data, what is the parameter being measured?
The average shuttle time of the population
What is the purpose of calculating the z-score for the shuttle time?
To determine how many standard deviations away from the mean the shuttle time is
In the survey about the registered voters in Georgia, what is the 23% describing?
A sample characteristic
What type of data is the GPA of each student athlete on the team at UCF?
Quantitative continuous
In the doctor's study, is the data collected from all 50 patients or a subset of them?
The data is collected from a subset of 20 patients, making it a sample
What is the primary advantage of using a cluster sampling method, as in the UCF example?
Reduced cost and time
What is the purpose of collecting data from a sample rather than a population?
To make inferences about the population from the sample
What is the relative frequency for students who scored a C in the statistics exam?
0.38
In a skewed distribution, which of the following is generally true?
The mean is higher than the median
What type of variable is the 'nicest fruit' chosen by the students in the elementary school survey?
Nominal
What percentage of the rent payments in Orlando would be expected to be between $100 and $2100?
about 99.7%
What is the main difference between an experiment and an observational study?
The method of assigning treatments to groups
What type of data is the average height of adult Northern giraffes?
Population parameter
What does the z-score of -1.4 indicate about the giraffe's height?
The giraffe's height is 1.4 standard deviations below the mean
What is the purpose of calculating the z-score for the giraffe's height?
To compare the giraffe's height to the mean height
What is the main advantage of using Khan Academy practice problems in the experiment?
It allows the teacher to control the treatment and randomly assign classes
Study Notes
Descriptive Statistics and Probability
- Jacob deGrom's pitch speed in a baseball game was 101 mph with a standard deviation of 6 mph, which means at least 75% of his pitches are between 89 to 113 mph.
- A hotel's shuttle time has a bell-shaped distribution with a mean of 14 minutes and a standard deviation of 1.7 minutes.
Data Types and Sampling
- Temperature is a quantitative variable, while sex is a qualitative variable.
- A dataset collected from 20 patients out of 50 is a sample, not a population.
- A survey of 370 registered voters in Georgia is a sample, and the 23% who plan to vote is a statistic.
Measures of Central Tendency and Relative Frequency
- The relative frequency for students who scored a C in a statistics exam is calculated by dividing the number of students who scored a C (85) by the total number of students (150).
- To find the relative frequency, divide the frequency of each category by the total number of observations.
Sampling Methods
- UCF is using a cluster sampling method by selecting 8 sports teams and collecting the GPA from each student athlete.
Distribution and Skewness
- In a right-skewed distribution, the mean tends to be higher than the median.
Proportions and Probability
- To find the proportion of students who responded that apple was the nicest fruit, divide the number of students who chose apple by the total number of students.
- The proportion of rent payments between $100 and $2100 is at least 95% of the average rent payment in Orlando.
Experiment and Observational Study
- The teacher's study on the effect of Khan Academy on quiz grades is an experiment because the teacher assigns the classes to the Khan Academy conditions.
Z-Scores
- A z-score of -1.4 for the giraffe's height means it is 1.4 standard deviations below the mean height of 20 ft.
Determine whether a percentage is a statistic or a parameter in a research survey. This quiz is based on a sample of registered voters in Georgia and their plans to vote in the next local election.
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