The students of a certain college were asked to choose which of six movie genres was their favorite. The pie chart below shows the distribution of the students' answers. If there are 16,500 students at this college, how many chose Drama, Other, or Historical?**Pie Chart Explanation:**The pie chart is divided into six segments, each representing a different movie genre preference among the students:- **Other:** 27%- **Drama:** 23%- **Historical:** 20%- **Comedy:** 15%- **Action:** 8%- **Horror:** 7%To find out how many students chose Drama, Other, or Historical, calculate the total percentage for these genres and apply it to the total number of students (16,500).**Calculation:**1. Sum of percentages for Drama, Other, and Historical: - Drama (23%) + Other (27%) + Historical (20%) = 70%2. Number of students who chose these genres: - 70% of 16,500 = 0.70 * 16,500 = 11,550 studentsTherefore, 11,550 students chose Drama, Other, or Historical as their favorite movie genre. The following is a list of 5 measurements:\[ 14, 18, 20, 17, 14 \]Suppose that these 5 measurements are respectively labeled $ x_1, x_2, \ldots, x_5 $. Compute the following:\[ \sum_{i=1}^{5} (x_i)^2 \]This expression instructs you to calculate the sum of the squares of the measurements.

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Solution: From the given pie chart it can be observed that 20% of the students chose historical, 7%…

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The students of a certain college were asked to choose which of six movie genres was their favorite. The pie chart below shows the distribution of the students answers. If there are 16,500 students at this college, how many chose Drama, Other, or Historical? Historical 20% Horror 7% Action 8% Other 27% Comedy 15% Drama 23%

The students of a certain college were asked to choose which of six movie genres was their favorite. The pie chart below shows the distribution of the students answers. If there are 16,500 students at this college, how many chose Drama, Other, or Historical? Historical 20% Horror 7% Action 8% Other 27% Comedy 15% Drama 23%

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

The students of a certain college were asked to choose which of six movie genres was their favorite. The pie chart below shows the distribution of the students' answers. If there are 16,500 students at this college, how many chose Drama, Other, or Historical?

**Pie Chart Explanation:**

The pie chart is divided into six segments, each representing a different movie genre preference among the students:

- **Other:** 27%
- **Drama:** 23%
- **Historical:** 20%
- **Comedy:** 15%
- **Action:** 8%
- **Horror:** 7%

To find out how many students chose Drama, Other, or Historical, calculate the total percentage for these genres and apply it to the total number of students (16,500).

**Calculation:**

1. Sum of percentages for Drama, Other, and Historical:
- Drama (23%) + Other (27%) + Historical (20%) = 70%

2. Number of students who chose these genres:
- 70% of 16,500 = 0.70 * 16,500 = 11,550 students

Therefore, 11,550 students chose Drama, Other, or Historical as their favorite movie genre.

The following is a list of 5 measurements:

\[ 14, 18, 20, 17, 14 \]

Suppose that these 5 measurements are respectively labeled $ x_1, x_2, \ldots, x_5 $. Compute the following:

\[ \sum_{i=1}^{5} (x_i)^2 \]

This expression instructs you to calculate the sum of the squares of the measurements.

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