Pregunta
Values \[ \text { Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area } 0.1828 \text {. } \] \( z=\square \) (Type an integer or decimal rounded to two decimal places as needed.)
Ask by Rodriguez Munoz. in the United States
Feb 19,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The z-score corresponding to a cumulative area of 0.1828 is approximately –0.90.
Solución
We need to find the z-score for which the cumulative area under the standard normal curve is 0.1828. In other words, we want z such that
P(Z < z) = 0.1828.
Because 0.1828 is less than 0.5, the z-score will be negative.
Using a standard normal table or technology (such as a calculator or software with an inverse normal function), you can find that:
z ≈ –0.90
This value is rounded to two decimal places.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To find the z-score corresponding to a cumulative area of 0.1828, you can refer to the Standard Normal Table or use technology such as a calculator that has inverse normal functions. Looking it up, you'll find that the z-score that corresponds to an area of 0.1828 is approximately \( z = -0.91 \). This means that 18.28% of the data lies below a z-score of -0.91 in a standard normal distribution. It’s a convenient way to visualize how far from the average (mean) your value is, serving as a crucial tool in statistics and probability assessments!
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