Find the indicated z-scores shown in the graph. Click to view page 1 of the Standard Normal Table. Click to view page 2 of the Standard Normal Table. 0.4744 0.4744 z=? ó z=? The z-scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.)

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Find the indicated​ z-scores shown in the graph.
**Transcription for Educational Website**:

Title: Finding Z-Scores from a Graph

---

**Instructions:**

Find the indicated z-scores shown in the graph.

- [Click to view page 1 of the Standard Normal Table.](#)
- [Click to view page 2 of the Standard Normal Table.](#)

---

**Graph Explanation:**

The graph displayed is a standard normal distribution curve. It is symmetrical around the mean (μ = 0). The shaded areas under the curve represent probabilities. In this graph:

- The total area under the curve to the left of z = 0 and to the right of z = 0 is equal to 0.4744. Each of these shaded regions has an area of 0.4744, which suggests that the z-scores are equidistant from the mean on both the negative and positive sides.

Paths from both shaded areas point toward two unknown z-scores (denoted as "z = ?") on either side of zero (z = 0). 

---

**Problem Statement:**

The z-scores are: [Input Box]

*Instructions: Use a comma to separate answers as needed. Round to two decimal places as needed.*

---

**Note:**

You may use the linked Standard Normal Table pages to locate the z-score corresponding to the given area under the curve.
Transcribed Image Text:**Transcription for Educational Website**: Title: Finding Z-Scores from a Graph --- **Instructions:** Find the indicated z-scores shown in the graph. - [Click to view page 1 of the Standard Normal Table.](#) - [Click to view page 2 of the Standard Normal Table.](#) --- **Graph Explanation:** The graph displayed is a standard normal distribution curve. It is symmetrical around the mean (μ = 0). The shaded areas under the curve represent probabilities. In this graph: - The total area under the curve to the left of z = 0 and to the right of z = 0 is equal to 0.4744. Each of these shaded regions has an area of 0.4744, which suggests that the z-scores are equidistant from the mean on both the negative and positive sides. Paths from both shaded areas point toward two unknown z-scores (denoted as "z = ?") on either side of zero (z = 0). --- **Problem Statement:** The z-scores are: [Input Box] *Instructions: Use a comma to separate answers as needed. Round to two decimal places as needed.* --- **Note:** You may use the linked Standard Normal Table pages to locate the z-score corresponding to the given area under the curve.
# Standard Normal Distribution Tables

The standard normal distribution tables are used to find the probability that a statistic is observed below, above, or between any values on the standard normal distribution. The values in the table represent the area under the curve to the left of a given z-score. 

## Description of the Graph:
Both tables feature a normal distribution curve with the area under the curve shaded to illustrate the concept of z-scores and cumulative probability. The horizontal axis represents z-scores, and the vertical axis represents probability density.

## Left Table:

### Z-Scores from -3.4 to 0.0

The table displays cumulative probabilities for negative z-scores. Z-scores are listed along the left-hand side in the first column. Decimal values for the second digit of z-scores are listed across the top row from .00 to .09. The intersection of a z-score row and decimal column provides the cumulative probability associated with that z-score.

Example: For a z-score of -1.5 with a second decimal of .05, the cumulative probability is 0.0670.

## Right Table:

### Z-Scores from 0.0 to 3.4

Similarly, this table lists cumulative probabilities for positive z-scores from 0.0 to 3.4. 

Example: For a z-score of 1.2 with a second decimal of .07, the cumulative probability is 0.8849.

These tables are essential tools in statistics for finding probabilities related to the standard normal distribution, heavily used in hypothesis testing and confidence interval calculations.
Transcribed Image Text:# Standard Normal Distribution Tables The standard normal distribution tables are used to find the probability that a statistic is observed below, above, or between any values on the standard normal distribution. The values in the table represent the area under the curve to the left of a given z-score. ## Description of the Graph: Both tables feature a normal distribution curve with the area under the curve shaded to illustrate the concept of z-scores and cumulative probability. The horizontal axis represents z-scores, and the vertical axis represents probability density. ## Left Table: ### Z-Scores from -3.4 to 0.0 The table displays cumulative probabilities for negative z-scores. Z-scores are listed along the left-hand side in the first column. Decimal values for the second digit of z-scores are listed across the top row from .00 to .09. The intersection of a z-score row and decimal column provides the cumulative probability associated with that z-score. Example: For a z-score of -1.5 with a second decimal of .05, the cumulative probability is 0.0670. ## Right Table: ### Z-Scores from 0.0 to 3.4 Similarly, this table lists cumulative probabilities for positive z-scores from 0.0 to 3.4. Example: For a z-score of 1.2 with a second decimal of .07, the cumulative probability is 0.8849. These tables are essential tools in statistics for finding probabilities related to the standard normal distribution, heavily used in hypothesis testing and confidence interval calculations.
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