College

We appreciate your visit to Consider a set of data and which a sample mean is 34 4 and the sample standard deviation is 3 7 calculate the Z score. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Consider a set of data and which a sample mean is 34.4 and the sample standard deviation is 3.7 calculate the Z score given that x=35.8. round answer to two decimal places

Consider a set of data and which a sample mean is 34 4 and the sample standard deviation is 3 7 calculate the Z score

Answer :

Explanation:

Step 1. The given information that we have about the data set is:

[tex]\begin{gathered} Mean: \\ \mu=34.4 \end{gathered}[/tex][tex]\begin{gathered} Standard\text{ deviation:} \\ \sigma=3.7 \end{gathered}[/tex][tex]\begin{gathered} x-value: \\ x=35.8 \end{gathered}[/tex]

Step 2. We need to calculate the z-score. To calculate it, we use the following formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Step 3. Substituting the known values:

[tex]z=\frac{35.8-34.4}{3.7}[/tex]

Step 4. Solving the operations:

[tex]\begin{gathered} z=\frac{1.4}{3.7} \\ \downarrow \\ \boxed{z=0.3784} \end{gathered}[/tex]

Rounding the answer to two decimal places:

[tex]\boxed{z=0.38}[/tex]

Answer:

[tex]0.38[/tex]

Thanks for taking the time to read Consider a set of data and which a sample mean is 34 4 and the sample standard deviation is 3 7 calculate the Z score. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada