State the Properties of Student S T-Distribution
-Suppose A $99 \%$

question 55

Multiple Choice

State the Properties of Student s t-Distribution
-Suppose a $99 \%$ confidence interval for $\mu$ turns out to be $( 1000,2100 )$ . If this interval was based on a sample of size $n = 26$ , explain what assumptions are necessary for this interval to be valid.

• A) The population must have an approximately normal distribution.
• B) The sampling distribution of the sample mean must have a normal distribution.
• C) The population of salaries must have an approximate \(t\) distribution.
• D) The sampling distribution must be biased with 25 degrees of freedom.

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