The Body Mass Index (BMI) is a value calculated based on the weight and the height of an individual. In a small European city, a survey was conducted one year ago to review the BMI of the citizens. In the sample with 200 citizens, the mean BMI was 23.3 kg/m² and standard deviation was 1.5 kg/m?. It is reasonable to assume the BMI distribution is a normal distribution. (a) Find the point estimate of the population mean BMI one year ago. (b) Calculate the sampling error at 90% confidence. (c) Construct a 90% confidence interval estimate of the population mean BMI one year ago. This city launched a healthy exercise program to reduce citizen's BMI after last year's survey. Suppose the program effectively reduces the BMI of each citizen by 2.5%. (d) Construct a 98% confidence interval estimate of the population mean BMI after the healthy exercise program. (Hint: find the updated sample mean and sample standard deviation of the BMI of the sample with 200 citizens selected last year)

The Body Mass Index (BMI) is a value calculated based on the weight and the height of an individual. In a small European city, a survey was conducted one year ago to review the BMI of the citizens. In the sample with 200 citizens, the mean BMI was 23.3 kg/m² and standard deviation was 1.5 kg/m?. It is reasonable to assume the BMI distribution is a normal distribution. (a) Find the point estimate of the population mean BMI one year ago. (b) Calculate the sampling error at 90% confidence. (c) Construct a 90% confidence interval estimate of the population mean BMI one year ago. This city launched a healthy exercise program to reduce citizen's BMI after last year's survey. Suppose the program effectively reduces the BMI of each citizen by 2.5%. (d) Construct a 98% confidence interval estimate of the population mean BMI after the healthy exercise program. (Hint: find the updated sample mean and sample standard deviation of the BMI of the sample with 200 citizens selected last year)

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

The Body Mass Index (BMI) is a value calculated based on the weight and the height of an individual. In a
small European city, a survey was conducted one year ago to review the BMI of the citizens. In the sample
with 200 citizens, the mean BMI was 23.3 kg/m² and standard deviation was 1.5 kg/m?. It is reasonable to
assume the BMI distribution is a normal distribution.
(a) Find the point estimate of the population mean BMI one year ago.
(b) Calculate the sampling error at 90% confidence.
(c) Construct a 90% confidence interval estimate of the population mean BMI one year ago.
This city launched a healthy exercise program to reduce citizen's BMI after last year's survey. Suppose the
program effectively reduces the BMI of each citizen by 2.5%.
(d) Construct a 98% confidence interval estimate of the population mean BMI after the healthy exercise
program. (Hint: find the updated sample mean and sample standard deviation of the BMI of the sample
with 200 citizens selected last year)

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