X Is a Normally Distributed Random Variable with a Mean

question 62

Multiple Choice

X is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that x equals 19.62 is

• A)0.000
• B)0.0055
• C)0.4945
• D)0.9945

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Definitions:

Null Hypothesis

A default hypothesis that there is no effect or no difference, and any observed difference is due to sampling or experimental error.

Research Hypothesis

A specific, testable prediction about the relationship between two or more variables that a study aims to prove or disprove.

Descriptive Statistics

Statistical measures that describe the results of a study; descriptive statistics include measures of central tendency (e.g., mean), variability (e.g., standard deviation), and correlation (e.g., Pearson r).

Prison Sentence

The punishment assigned by a court, typically involving incarceration, for someone convicted of a crime.