1. The data below represent the weights (in grams) of a random sample of 50 candies. 0.99 0.87 0.84 0.85 0.82 0.86 0.98 0.85 0.82 0.82 0.83 0.89 0.79 0.85 0.89 0.83 0.71 0.82 0.76 0.83 0.93 0.79 0.78 0.93 0.84 0.94 0.88 0.87 0.84 0.75 0.97 0.83 0.78 0.79 0.82 0.79 0.85 0.89 0.89 0.79 0.71 0.82 0.75 0.73 0.81 0.81 0.89 0.94 0.92 0.84 a. Determine the sample standard deviation weight between 0.709 and 0.973 gram. b. Determine the actual percentage of candies that weigh between 0.709 and 0.973 gram, inclusive.
1. The data below represent the weights (in grams) of a random sample of 50 candies. 0.99 0.87 0.84 0.85 0.82 0.86 0.98 0.85 0.82 0.82 0.83 0.89 0.79 0.85 0.89 0.83 0.71 0.82 0.76 0.83 0.93 0.79 0.78 0.93 0.84 0.94 0.88 0.87 0.84 0.75 0.97 0.83 0.78 0.79 0.82 0.79 0.85 0.89 0.89 0.79 0.71 0.82 0.75 0.73 0.81 0.81 0.89 0.94 0.92 0.84 a. Determine the sample standard deviation weight between 0.709 and 0.973 gram. b. Determine the actual percentage of candies that weigh between 0.709 and 0.973 gram, inclusive.
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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Transcribed Image Text:### Data Analysis and Hypothesis Testing
#### 1. Candy Weight Analysis
The table below represents the weights (in grams) of a random sample of 50 candies:
| 0.99 | 0.87 | 0.84 | 0.85 | 0.82 | 0.86 | 0.98 | 0.85 | 0.82 | 0.82 |
|------|------|------|------|------|------|------|------|------|------|
| 0.83 | 0.89 | 0.79 | 0.85 | 0.89 | 0.83 | 0.71 | 0.82 | 0.76 | 0.83 |
| 0.93 | 0.79 | 0.78 | 0.93 | 0.84 | 0.94 | 0.88 | 0.87 | 0.84 | 0.75 |
| 0.97 | 0.83 | 0.78 | 0.79 | 0.82 | 0.79 | 0.89 | 0.89 | 0.79 | 0.79 |
| 0.71 | 0.82 | 0.75 | 0.73 | 0.81 | 0.81 | 0.89 | 0.94 | 0.92 | 0.84 |
**Tasks:**
a. Determine the sample standard deviation for weights between 0.709 and 0.973 grams.
b. Determine the percentage of candies weighing between 0.709 and 0.973 grams, inclusive.
#### 2. Internet Access in Households
An economist believes that the percentage of urban households with Internet access is greater than that of rural households. To test this hypothesis:
- A sample of 800 urban households shows that 338 have Internet access.
- A sample of 750 rural households shows that 292 have Internet access.
**Task:**
Test the economist’s claim at the \(\alpha = 0.05\) level of significance.
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