X Is a Normally Distributed Random Variable with a Mean

question 54

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:

Sample Size

Sample size refers to the number of observations or data points collected in a statistical study, which is critical for ensuring the reliability, validity, and generalizability of the study's results.

Probability of Error

Probability of error refers to the likelihood that a statistical decision or hypothesis test will result in a wrong conclusion.

Test Power

The probability that a statistical test will correctly reject a false null hypothesis, essentially the ability of a test to detect an effect if there is one.

Conditional Probabilities

are the probabilities of an event occurring given that another event has already occurred.