MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:## Standard Normal Distribution Table
### Overview
This table is used to find the probability that a statistic is observed below, above, or between values on the standard normal distribution. The table is divided into two pages to provide a detailed lookup for various z-scores.
### Explanation of Graphs
Both pages contain a small diagram depicting a standard normal curve (bell-shaped curve).
- **Page 1 and Page 2 Diagrams**:
- The horizontal axis is labeled with "z," representing z-scores.
- The shaded area under the curve indicates the probability associated with a particular z-score.
- The arrow labeled "Area" points to the shaded region, illustrating the cumulative probability for z-values up to the marked point.
### Standard Normal Distribution Table (Page 1)
This page lists cumulative probabilities for z-scores ranging from -3.4 to -0.1.
**Table Structure:**
- The leftmost column shows z-scores (e.g., -3.4, -3.3, ..., -0.1).
- The top row contains decimal place values from 0.00 to 0.09.
- For each z-score, the corresponding cumulative probabilities are listed across the row at 0.01 intervals.
### Standard Normal Distribution Table (Page 2)
This page continues the table, listing cumulative probabilities for z-scores ranging from 0.0 to 3.8.
**Table Structure:**
- The leftmost column shows z-scores (e.g., 0.0, 0.1, ..., 3.8).
- The top row contains decimal place values from 0.00 to 0.09.
- For each z-score, the cumulative probabilities are listed across the row at 0.01 intervals.
### Usage
These tables are used to determine the percentile rank of a standard normal variable, helpful in various statistical analyses, including hypothesis testing and confidence interval estimation. By finding the intersection of a z-score and its corresponding column value, you can determine the probability of a statistic falling within a certain range.
Transcribed Image Text:According to a survey in a country, 35% of adults do not own a credit card. Suppose a simple random sample of 700 adults is obtained. Complete parts (a) through (d) below.
**(a) Describe the sampling distribution of \( \hat{p} \), the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of \( \hat{p} \) below.**
- **A.** Approximately normal because \( n \leq 0.05N \) and \( np(1 - p) < 10 \)
- **B.** Not normal because \( n \leq 0.05N \) and \( np(1 - p) \geq 10 \)
- **C.** Not normal because \( n \leq 0.05N \) and \( np(1 - p) < 10 \)
- **D.** Approximately normal because \( n \leq 0.05N \) and \( np(1 - p) \geq 10 \)
There are no graphs or diagrams in the image. The task involves selecting an option that correctly describes the sampling distribution based on the given conditions related to sample size and the calculated product of \( np(1 - p) \).
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