X Is a Normally Distributed Random Variable with a Mean

question 97

Multiple Choice

X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that X is less than 9.7 is

• A)0.000
• B)0.4931
• C)0.0069
• D)0.9931

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Definitions:

P-value

The probability of obtaining test results at least as extreme as the observed results, assuming the null hypothesis is correct.

Sample Size

The number of units or observations collected from a population for the purpose of a statistical analysis.

Significance Level

Significance level is a threshold in hypothesis testing, denoting the probability of rejecting the null hypothesis when it is actually true, often set at 0.05 or 5%.

Power of the Test

The probability that the test correctly rejects the null hypothesis when the alternative hypothesis is true, indicating the test's effectiveness.