Do One of the Following, as Appropriate: (A) Find the Critical

question 81

Multiple Choice

Do one of the following, as appropriate: (a) Find the critical value z?/2, (b) find the critical value t?/2, (c) state that neither the normal nor the t distribution applies.
- $95 \% ; n = 11 ; \sigma$ is known; population appears to be very skewed.

• A) Neither the normal nor the \(t\) distribution applies.
• B) \(z _ { \alpha / 2 } = 1.96\)
• C) \(\mathrm { z } _ { \alpha / 2 } = 1.812\)
• D) \(\mathrm { t } _ { \alpha / 2 } = 2.228\)

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Definitions:

Sample Mean

The average value of a sample set of numbers, calculated by adding all the values together and dividing by the number of values.

Sampling Distribution

The probability distribution of a statistic based on a large number of samples or replicates.

Probability Distribution

Describes how the probabilities are distributed over the values of a random variable.

Expected Value

The expected value of a variable, determined by summing up all possible values, each weighed by its probability of happening.