If We Take a Sample of Size N = 100 $\mu$

question 69

Multiple Choice

If we take a sample of size n = 100 from a population with $\mu$ = 400 and $\sigma$ = 20,find P(395.4 < $\bar { x }$ < 404.6) .

• A)0.9786
• B)0.9878
• C)0.1732
• D)0.5398
• E)0.8413

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Definitions:

Student T Distribution

A probability distribution that is used in hypothesis testing for small sample sizes or when the population standard deviation is unknown.

Expected Value

A statistical concept representing the average outcome one would expect to see from a probability distribution over many trials.

Exponential Distribution

A model used in statistics for describing the times between events in a process where events occur continuously and independently at a constant rate.

Proportion

A fraction or percentage that indicates the part of a whole represented by a certain count or quantity.