Below is a transcription of the image content, structured as it would appear on an educational website. Graphs and calculations are explained in detail.---### Statistical Analysis of Hay Fever Rates in Western KansasA random sample of \( n_1 = 16 \) communities in western Kansas provided the following information for people under 25 years of age:- **\( x_1 \): Rate of hay fever per 1000 population for people under 25** - 95, 119, 129, 92, 123, 112, 93, 100, 117, 99, 122, 127, 88, 111, 112, 108A random sample of \( n_2 = 14 \) regions in western Kansas provided the following information for people over 50 years old:- **\( x_2 \): Rate of hay fever per 1000 population for people over 50** - 100, 109, 111, 88, 110, 97, 115, 106, 98, 71, 95, 104, 85, 96---#### (1) Calculate the Means and Standard DeviationsUse a calculator to compute the following values (rounded to four decimal places):- **\( \bar{x}_1 \)** (Mean rate for people under 25)- **\( s_1 \)** (Standard deviation for people under 25)- **\( \bar{x}_2 \)** (Mean rate for people over 50)- **\( s_2 \)** (Standard deviation for people over 50)#### (2) Normal Distribution and Hypothesis TestingAssume the hay fever rate in each age group has an approximately normal distribution. Based on the data provided, determine if the age group over 50 has a lower rate of hay fever compared to those under 25.Perform the hypothesis test:**a) What is the level of significance?**- Typically, a common level of significance used is \( \alpha = 0.05 \).**b) State the null and alternate hypotheses:**- **Null Hypothesis (H0):** \( \mu_1 \leq \mu_2 \) - This implies the mean hay fever rate for people under 25 (\( \mu_1 \)) is less than or equal to that of people over 50 (\

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A random sample of ny 16 communities in western Kansas gave the folliowing information for people under 25 years of age X: Rate of hay fever per 1000 population for people under 25 99 91 119 129 92 123 112 93 125 95 125 117 97 122 127 88 Arandom sample of ny 14 regions in western Kansas gave the following information for people over 50 years old. * Rate of hay fever per 1000 population for people over 50 94 108 100 97 111 88 110 79 115 10o es 114 85 96 A USE SALT OUse a calculator to calculate , and (Rund your answers to four decimal places) Asume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group ever 50 has a lower cate ot hay fever Use 0.05. (a) what is the level of significance State the nu and aternate bypotheses

A random sample of ny 16 communities in western Kansas gave the folliowing information for people under 25 years of age X: Rate of hay fever per 1000 population for people under 25 99 91 119 129 92 123 112 93 125 95 125 117 97 122 127 88 Arandom sample of ny 14 regions in western Kansas gave the following information for people over 50 years old. * Rate of hay fever per 1000 population for people over 50 94 108 100 97 111 88 110 79 115 10o es 114 85 96 A USE SALT OUse a calculator to calculate , and (Rund your answers to four decimal places) Asume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group ever 50 has a lower cate ot hay fever Use 0.05. (a) what is the level of significance State the nu and aternate bypotheses

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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