Given the Values Of $\bar { x } , \mathrm {~s}$

question 48

Multiple Choice

Given the values of $\bar { x } , \mathrm {~s}$ , and $\mathrm { n }$ , form a $99 \%$ confidence interval for $\sigma ^ { 2 }$ . $\overline { \mathrm { x } } = 15.1 , \mathrm {~s} = 4.3 , \mathrm { n } = 24$

• A) \(( 10.04,47.92 )\)
• B) \(( 9.63,45.92 )\)
• C) \(( 10.21,41.71 )\)
• D) \(( 2.38,9.7 )\)

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Definitions:

Binomial Distribution

A probability distribution that summarizes the likelihood that a variable will take one of two independent values under a given number of observations.

Significance Level

A statistical term that quantifies the probability of rejecting the null hypothesis when it is actually true, typically expressed as a percentage or decimal.

Expected Frequency

The predicted count of occurrences for a particular category or event in a statistical distribution, based on a theoretical probability.

Sample Size

The number of observations or data points that are selected from a larger population for purposes of statistical analysis; essential to the reliability of study results.