Exam 3 - Study Guide Flashcards
A sample statistic is a point estimator of…
- A population parameter
The mean, median, and mode have the same value for which probability distribution…
- Normal
The probability density function for a uniform distribution ranging between 2 and 6 is…
- .25
A standard normal distribution is a normal distribution with…
- A mean of 0 and a standard deviation of 1
If the mean of a normal distribution is negative…
- NONE OF THESE ANSWERS ARE CORRECT
For a standard normal distribution, the probability of obtaining a z value of less than 1.6 is…
- 0.9452
For the standard normal probability distribution, the area to the left of the mean is…
- 0.5
95% of the data in a normally distributed data set falls within how many standard deviations…
- 2
The standard deviation of a sample proportion is referred to as the…
- Standard error of the proportion
The purpose of statistical inference is to provide information about the…
- Population based on information in the sample
A continuous random variable may assume…
- All values in an interval or collection of intervals
For a continuous random variable x, the probability density function f(x) represents…
- The height of the function at x
For a uniform probability density function, the height of the function…
- Is the same for each value of x
A normal probability distribution…
- Is a continuous probability distribution
Which of the following is not a characteristic of the normal probability distribution?
- The standard deviation must be 1
The highest point of a normal curve occurs at…
- The mean
In a standard normal distribution, the range of values of z is from…
- Minus infinity to infinity
As the degrees of freedom increase, the t distribution approaches the…
- Normal distribution
If the margin of error in an interval estimate of the pop. mean is 4.6, the interval estimate =
- Sample + - 4.6
The certainty associated with an interval estimate is called the…
- Confidence coefficient
An interval estimate is used to estimate…
- A population parameter
The t distribution uses the following value with sampling when pop. std. dev. is unknown…
- N - 1 degrees of freedom
The standard deviation of a point estimator is the…
- Standard Error
As the sample size increases, the variability among the sample means…
- Decreased
In determining sample size for estimating true population proportion, what is NOT needed…
- Mean of the popluation
Uniform Probability Distribution
- A continuous probability distribution for which the probability that the random variable will assume a value in any interval is the same for each interval of equal length
Probability Density Function
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How to Calculate Probability
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How to Calculate Expected Value
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How to Calculate Variance
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How to Calculate Standard Deviation
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Normal Probability Distribution
- A continuous probability distribution. Its probability density function is bell shaped and determined by its mean and standard deviaiton
What Different Shapes of a Bell Curve Mean
- Normal Curve
- Highest Point: Mean
- Symmetric
- Stdev determines flat and wide
How to Create a Bell Curve
- 68.3% of data in one stdev
- 95.4% of data in two stdev
- 99.7% of data in three stdev
How to Calculate Probability: Left-Tail
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How to Calculate Probability: Between
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How to Calculate Probability: Right-Tail
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How to Calculate: Z-Score
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How to Use Z-Score
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What “Z” Represents
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How to Find X from Probability
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Sampling and Sampling Distributions
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Element
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Sample
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Population
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Sampled Population
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Frame
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Population Parameters
- A numerical characteristic of a population, such as a population mean, a population standard deviation, a population proportion, and so on
Simple Random Sample
- A sample selected such that each possible sample has the same probability of being selected
Sampling from Finite Populations
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Sampling from Infinite Populaitons
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How to Select a Simple Random Sample from a Population
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Point Estimation
- The value of a point estimator used in a particular instance as an estimate of a population parameter
Inference
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Sample Statistic
- A sample characteristic, such as a sample mean, a sample standard deviation, a sample proportion, and so on
Target Population
- The population for which statistical inferences such as point estimates are made
Sample Mean
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Sample Proportion
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Standard Deviation of x - (standard error)
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How to Compute Standard Error for a Sample Mean
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How to Compute Standard Error for a Sample Proportion
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How to Calculate Probabilities of Sampling Error Using the Standard Error
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Interval Estimation
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Margin of Error
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Confidence Level
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Confidence Coefficient
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Confidence Interval
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Level of Significance
- Alpha
How to Calculate the Interval Estimate when Standard Deviation is Known
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How to Calculate the Interval Estimate when Standard Deviation Is not Known
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T Distribution
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Degrees of Freedom
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Determining Sample Size
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