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- https://stats.libretexts.org/Courses/Diablo_Valley_College/Math_142%3A_Elementary_Statistics_(Kwai-Ching)/Math_142%3A_Text_(Openstax)/10%3A_Hypothesis_Testing_with_Two_Samples/10.03%3A_Two_Population_Means_with_Known_Standard_DeviationsEven though this situation is not likely (knowing the population standard deviations is not likely), the following example illustrates hypothesis testing for independent means, known population standa...Even though this situation is not likely (knowing the population standard deviations is not likely), the following example illustrates hypothesis testing for independent means, known population standard deviations.
- https://stats.libretexts.org/Courses/Marian_University/Applied_Statistics_for_Social_Science/03%3A_The_Normal_Distribution/3.2%3A_The_Standard_Normal_DistributionA z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the nor...A z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the normal distribution N(μ,σ) then z tells you how many standard deviations x is above (greater than) or below (less than) μ.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/An_Introduction_to_Psychological_Statistics_(Foster_et_al.)/04%3A_z-scores_and_the_Standard_Normal_Distribution/4.02%3A_Z-scoresA z -score is a standardized version of a raw score ( x ) that gives information about the relative location of that score within its distribution.
- https://stats.libretexts.org/Courses/Marian_University/Applied_Statistics_for_Social_Science_(19-20)/03%3A_The_Normal_Distribution/3.2%3A_The_Standard_Normal_DistributionA z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the nor...A z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the normal distribution N(μ,σ) then z tells you how many standard deviations x is above (greater than) or below (less than) μ.
- https://stats.libretexts.org/Courses/Remixer_University/Username%3A_ckkidder08marianuniversityedu/Applied_Statistics_for_Social_Science_(19-20)/03%3A_The_Normal_Distribution/3.2%3A_The_Standard_Normal_DistributionA z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the nor...A z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the normal distribution N(μ,σ) then z tells you how many standard deviations x is above (greater than) or below (less than) μ.
- https://stats.libretexts.org/Courses/Compton_College/Pre-Statistics/11%3A_The_Normal_Distribution/11.02%3A_The_Standard_Normal_DistributionA z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the nor...A z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the normal distribution N(μ,σ) then z tells you how many standard deviations x is above (greater than) or below (less than) μ.
- https://stats.libretexts.org/Courses/Penn_State_University_Greater_Allegheny/STAT_200%3A_Elementary_Statistics/10%3A_Hypothesis_Testing_with_Two_Samples/10.03%3A_Two_Population_Means_with_Known_Standard_DeviationsEven though this situation is not likely (knowing the population standard deviations is not likely), the following example illustrates hypothesis testing for independent means, known population standa...Even though this situation is not likely (knowing the population standard deviations is not likely), the following example illustrates hypothesis testing for independent means, known population standard deviations.
- https://stats.libretexts.org/Courses/Penn_State_University_Greater_Allegheny/STAT_200%3A_Elementary_Statistics/06%3A_The_Normal_Distribution/6.02%3A_The_Standard_Normal_DistributionA z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the nor...A z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the normal distribution N(μ,σ) then z tells you how many standard deviations x is above (greater than) or below (less than) μ.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Natural_Resources_Biometrics_(Kiernan)/01%3A_Descriptive_Statistics_and_the_Normal_Distribution/1.02%3A_Probability_DistributionComputing probabilities for continuous random variables are complicated by the fact that there are an infinite number of possible values that our random variable can take on, so the probability of obs...Computing probabilities for continuous random variables are complicated by the fact that there are an infinite number of possible values that our random variable can take on, so the probability of observing a particular value for a random variable is zero. To find the probabilities associated with a continuous random variable, we use a probability density function (PDF).
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/06%3A_The_Normal_Distribution/6.06%3A_Chapter_ReviewThis page describes the standard normal distribution, which has a mean of zero and a standard deviation of one, noted as Z ~ N(0, 1). It explains the concept of the z-score, measuring distance from th...This page describes the standard normal distribution, which has a mean of zero and a standard deviation of one, noted as Z ~ N(0, 1). It explains the concept of the z-score, measuring distance from the mean in standard deviations. Additionally, it highlights the normal distribution's importance in probability theory, characterized by its continuous, bell-shaped form with parameters mean (µ) and standard deviation (σ), particularly focusing on the relevance of z-scores across various fields.
- https://stats.libretexts.org/Courses/Concord_University/Elementary_Statistics/06%3A_The_Normal_Distribution/6.02%3A_The_Standard_Normal_DistributionA z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the nor...A z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the normal distribution N(μ,σ) then z tells you how many standard deviations x is above (greater than) or below (less than) μ.
