In **2017**, Americans spent a record-high **$9.1 billion** on Halloween-related purchases (the *balance* website). Sample data showing the amount, in dollars **(16)** adults spent on a Halloween costume are as follows:14, 68, 25, 64 31, 33, 32, 44 50, 15, 16, 96 46, 35, 64, 28 ### Questions:#### a. What is the estimate of the population mean amount adults spend on a Halloween costume (to 2 decimals)?\[ \text{Mean} = \$\_\_\_\_\_\_\_\_\_\_ \]#### b. What is the sample standard deviation (to 2 decimals)?\[ \text{Sample Standard Deviation} = \$\_\_\_\_\_\_\_\_\_\_ \]#### c. Provide a 95% confidence interval estimate of the population standard deviation for the amount adults spend on a Halloween costume (to 2 decimals). Use [Table 11.1](https://www.example.com).\[ \$\_\_\_\_\_\_\_\_ \leq \sigma \leq \$\_\_\_\_\_\_\_\_ \]### Explanation of Data:- The data consists of **16** values, each representing the amount in dollars spent by different adults on a Halloween costume.- Values are arranged in a **4x4 grid** for better visualization and readability.Make sure to calculate accurately and refer to statistical techniques to find the mean, standard deviation, and confidence intervals. ### Table 11.1: Selected Values from the Chi-Square Distribution TableThe provided Chi-Square Distribution Table (Table 11.1) is used primarily in statistical analyses to determine critical values of the chi-squared (χ²) distribution. These values are essential when performing tests such as the chi-square test for independence and the chi-square goodness of fit test.#### Diagram OverviewThe top part of the table includes a graphical representation of the chi-squared distribution, characterized by its asymmetrical shape, which skews to the right. Key points include:- **Degrees of Freedom (df)**: Located along the vertical axis.- **Area or Probability (α)**: Represented along the horizontal axis, indicating the area in the upper tail of the distribution.#### Table BreakdownThe table below the graphical representation provides critical values for the chi-squared distribution across various degrees of freedom (df). Specific critical values are listed for different significance levels (α), including 0.99, 0.975, 0.95, 0.90, 0.10, 0.05, 0.025, and 0.01.##### Degrees of Freedom vs. Area in Upper Tail| Degrees of Freedom | 0.99 | 0.975 | 0.95 | 0.90 | 0.10 | 0.05 | 0.025 | 0.01 ||-------------------|-------|-------|-------|-------|-------|-------|-------|-------|| 1 | 0.000 | 0.001 | 0.004 | 0.016 | 2.706 | 3.841 | 5.024 | 6.635 || 2 | 0.020 | 0.051 | 0.103 | 0.211 | 4.605 | 5.991 | 7.378 | 9.210 || 3 | 0.115 | 0.216 | 0.352 | 0.584 | 6.251 | 7.815 | 9.348 | 11.345|| ... | ... | ... | ... | ... | ... | ... | ... | ... || 10 | 2.558 | 3.247 | 3

Given data is14,68,25,64,31,33,32,44,50,15,16,96,46,35,64,28sample size(n)=16

Answered: In 2017, Americans spent a record-high…

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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