### Understanding Standard Normal Distribution#### Reference GraphUse the graph of the Standard Normal Distribution above for reference. In questions 7-10, shade the area described. Include only the z score (or scores) mentioned in the question.Next, load Statdisk, click OK, and minimize the Sample Editor Window. Then, select Analysis, Probability Distributions, and Normal Distribution. Let \( z = 3 \) and click Evaluate. All of the answers you need for questions 7-10 are on the screen.**Remember: Do not round the answers! Show all decimal places!**---#### Graph ExplanationThe Standard Normal Distribution graph (Figure 6-4) depicts a bell-shaped curve centered around a mean of zero. The x-axis represents the z score (standard deviations from the mean), ranging from -3 to 3. The y-axis represents the probability density. The highest point on the graph is at \( z = 0 \), which corresponds to the mean of the distribution.#### Questions7. **The region from \( z = -\infty \) to \( z = 3 \)** ![Normal Curve](part_of_curve.png) `Area ______________________` - Shade the area under the curve from the leftmost end of the graph (approaching negative infinity) to \( z = 3 \).8. **The region from \( z = 3 \) to \( z = \infty \)** ![Normal Curve](another_part_of_curve.png) `Area ______________________` - Shade the area under the curve from \( z = 3 \) to the rightmost end of the graph (approaching infinity).---### Instructions Recap:1. **Use the provided Standard Normal Distribution graph.**2. **Shade the indicated regions.**3. **Use Statdisk to compute the area for the regions specified in the questions without rounding the answers.**### Note: Ensure to demonstrate all decimal places in your answers as specified.---This guide aims to help you effectively utilize the Standard Normal Distribution graph for statistical analysis and calculate probabilities accurately using Statdisk. ### Chapter 7#### InstructionsLoad Statdisk, click OK, and minimize the Sample Editor. Select Analysis, Confidence Intervals, and Proportion One Sample. Give only the confidence interval in your answer.**DO NOT ROUND YOUR ANSWERS!! SHOW ALL DECIMAL PLACES!!**#### Problems**9.** The region from \( z = -\infty \) to \( z = -3 \) & the region from \( z = 3 \) to \( z = \infty \). _Area: _______________________(Graph: Symmetrical bell curve representing a normal distribution with shaded areas in the far left and far right tails beyond \( z = -3 \) and \( z = 3 \) respectively.)**10.** The region between \( z = -3 \) and \( z = 3 \). _Area: _______________________(Graph: Symmetrical bell curve representing a normal distribution with the central area between \( z = -3 \) and \( z = 3 \) shaded.)#### Exercises1. The Hartford Insurance Company wants to estimate the percentage of drivers who change tapes or CDs while driving. A random sample of 850 drivers results in 544 who change tapes or CDs while driving. Find a 90% interval estimate of the percentage of all drivers who change tapes or CDs while driving. _________________________________________________________________2. When 500 college students are randomly selected and surveyed, it is found that 135 of them own personal computers. Find a 95% confidence interval for the true proportion of all college students who own personal computers. _________________________________________________________________

Answered: 1. The Hartford Insurance Company wants…

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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