Find the indicated z-scores shown in the graph. 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.Image Description: A standard normal distribution curve is shown. The curve is centered at 0 on the x-axis. Two areas under the curve are marked on either side of the mean, each with a value of 0.4783. Corresponding z-scores on the x-axis are shown as "z=?" both to the left and right of the mean.The z-scores are $-0.05, 0.05$. (Use a comma to separate answers as needed. Round to two decimal places as needed.) ### Standard Normal Table OverviewA Standard Normal Table, also known as a Z-table, is a mathematical table that allows users to determine the probability that a statistic is observed below, above, or between values on the standard normal distribution.#### Standard Normal Table (Page 1)The Z-table on Page 1 displays cumulative probabilities for negative Z-scores. These scores reflect the area under the standard normal curve to the left of the specified value.- **Columns**: Represent values in the second decimal place of the Z-score.- **Rows**: Represent the first decimal place of the Z-score.For example, to find the probability for a Z-score of -3.4 at 0.06, locate the row for -3.4 and intersect it with the column for 0.06, resulting in a probability of 0.0003.#### Standard Normal Table (Page 2)The Z-table on Page 2 shows cumulative probabilities for positive Z-scores.- **Columns**: Represent values in the second decimal place of the Z-score.- **Rows**: Represent the first decimal place of the Z-score.For example, to find the probability for a Z-score of 0.9 at 0.04, locate the row for 0.9 and intersect it with the column for 0.04, resulting in a probability of 0.8159.### UsageThese tables are critical for statistical calculations, allowing students and professionals to quickly find probabilities associated with a normal distribution, essential in hypothesis testing and confidence interval estimation.

From the given diagram, P(z1<Z<z2)=0.4783+0.4783=0.9566P(Z<z1)=0.0217P(Z>z2)=0.0217Consider, P(Z<z1)=0.0217 z1=-2.02 from the given table P(Z>z2)=0.02171-P(Z≤z2)=0.0217P(Z≤z2)=1-0.0217 =0.9783 z2=2.02 from the given table Thus, the z scores are -2.02 and 2.02

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Math

Statistics

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. F0 06 05

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

Find the indicated z-scores shown in the graph.

### Standard Normal Table Overview

A Standard Normal Table, also known as a Z-table, is a mathematical table that allows users to determine the probability that a statistic is observed below, above, or between values on the standard normal distribution.

#### Standard Normal Table (Page 1)

The Z-table on Page 1 displays cumulative probabilities for negative Z-scores. These scores reflect the area under the standard normal curve to the left of the specified value.

- **Columns**: Represent values in the second decimal place of the Z-score.
- **Rows**: Represent the first decimal place of the Z-score.

For example, to find the probability for a Z-score of -3.4 at 0.06, locate the row for -3.4 and intersect it with the column for 0.06, resulting in a probability of 0.0003.

#### Standard Normal Table (Page 2)

The Z-table on Page 2 shows cumulative probabilities for positive Z-scores.

- **Columns**: Represent values in the second decimal place of the Z-score.
- **Rows**: Represent the first decimal place of the Z-score.

For example, to find the probability for a Z-score of 0.9 at 0.04, locate the row for 0.9 and intersect it with the column for 0.04, resulting in a probability of 0.8159.

### Usage

These tables are critical for statistical calculations, allowing students and professionals to quickly find probabilities associated with a normal distribution, essential in hypothesis testing and confidence interval estimation.

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