Pregunta
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. Click the icon to view a t distribution table. (13.046,22.15) a. What is the number of degrees of freedom that should be used for finding the critical value \( \mathrm{t}_{\alpha / 2} \) ? df \( =\square \) (Type a whole number.)
Ask by Mccarthy Willis. in the United States
Mar 15,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The number of degrees of freedom is 15.
Solución
We use the fact that when constructing a confidence interval based on a \(t\) statistic the number of degrees of freedom is given by
\[
\mathrm{df} = n - 1.
\]
In the accompanying data display (not reproduced here) the sample size was given as 16. Therefore,
\[
\mathrm{df} = 16 - 1 = 15.
\]
Thus, the answer is 15.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Mind Expander
The number of degrees of freedom (df) is typically calculated as \( n - 1 \), where \( n \) is the sample size. If you have the sample size, you can simply subtract 1 from it to find the degrees of freedom needed to locate the critical \( t_{\alpha/2} \) value from the t-distribution table. If the sample size from your data is known, plug that number into the formula for an accurate df! For example, if your sample size \( n \) is 15, then df would be \( 15 - 1 = 14 \). Don't forget to specify the sample size for precise calculations!

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium