Pregunta
upstudy study bank question image url

A researcher computes a confidence interval for the mean weight (in lb) of widgets produced in a
factory. The interval is ( ). Which of these is a correct interpretation of this interval?
a) Out of all the widgets produced in all widget factories, weigh between 7.2 and 8.9 lbs.
b) We can be confident that all widgets weigh between 7.2 and 8.9 lbs .
c) There’s a chance the population value is between 7.2 and 8.9 lbs .
d) Ninety percent of all sample means are equivalent to the true mean weight of all the widgets.

Ask by Best Vargas. in the United States
Jan 24,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

There’s a chance the population mean weight of widgets is between 7.2 and 8.9 lbs.

Solución

¡Inicia sesión para desbloquear respuestas gratis!

Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

star-icon Descubrir

Respondido por UpStudy AI y revisado por un tutor profesional

Mind Expander

Let’s clarify this concept with a little more context! Confidence intervals are a statistical tool used to estimate the range in which the true population parameter lies. When a researcher creates a confidence interval for widget weights, they’re saying that if we were to take many samples and create confidence intervals for each, approximately of those intervals would contain the true mean weight of the widgets produced in that factory.
Now, if you’re scratching your head over the options: the correct interpretation is that we are confident that the true mean weight of the widgets falls within the interval ( ). So in this case, the best answer is actually not provided in your options, but remember, confidence intervals help us understand and communicate uncertainty in our estimates!
Always keep in mind that a common mistake when interpreting confidence intervals is thinking that the interval describes the weights of individual widgets or other inappropriate applications. Instead, it’s all about estimating the mean, so focus on that aspect to avoid confusion!

preguntas relacionadas

\begin{tabular}{l} ter 13 Review \\ \( 1 \leftarrow \quad \begin{array}{l}\text { A Morning Consult/Politico poll of } 1997 \text { registered voters in July } 2020 \text { asked a standard polling question of whether the United States was headed in the "Right Direction" or } \\ \text { was on the "Wrong Track." } 75.3 \% \text { said that things are on the wrong track vs. } 24.7 \% \text { who said "right direction." Complete parts a and b. } 51.35 \%, 19 \text { of } 37 \text { points } \\ \text { Part } 1 \text { of 2 }\end{array} \) \\ \( \begin{array}{l}\text { a) Calculate the margin of error for the proportion of all U.S. adults who think things are on the wrong track for } 99 \% \text { confidence. } \\ \text { ME }=\square \text { (Round to three decimal places as needed.) }\end{array} \) \\ \hline\end{tabular}

Latest Statistics Questions

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad