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A local government official observed an increase in the number of individuals with cardiovascular and obesity problems in his barangay. It is known that obesity results in greater risk of having illnesses like diabetes and heart problems. In order to improve the health conditions of his constituents, he encouraged them to participate in his Zumbalik Alindog Program every weekend for 3 months to promote an easy and cheap way to reduce weight. The weight loss data (in kilograms) of the 28 randomly selected participants after completing the program are: 2.0 2.2 0.3 2.4 2.5 1.2 0.4 0.9 3.1 1.9 0.9 0.5 1.7 0.5 0.7 1.7 1.4 0.5 3.0 0.5 1.1 1.6 0.9 1.5 0.7 2.6 0.3 0.6 It is known that the weight loss of those who have completed the program follows a normal distribution with variance of 2.23 kg². using the data provided above, identify whether the z-distribution or the t-distribution is to be used based on the number of observations given then 1. find the estimated true mean (point estimate) weight loss of the program participants; 2. find the measure of estimate's precision (margin of error). 3. construct and interpret a 95% confidence interval for the true mean weight loss of the participants who have completed the dance program.

A local government official observed an increase in the number of individuals with cardiovascular and obesity problems in his barangay. It is known that obesity results in greater risk of having illnesses like diabetes and heart problems. In order to improve the health conditions of his constituents, he encouraged them to participate in his Zumbalik Alindog Program every weekend for 3 months to promote an easy and cheap way to reduce weight. The weight loss data (in kilograms) of the 28 randomly selected participants after completing the program are: 2.0 2.2 0.3 2.4 2.5 1.2 0.4 0.9 3.1 1.9 0.9 0.5 1.7 0.5 0.7 1.7 1.4 0.5 3.0 0.5 1.1 1.6 0.9 1.5 0.7 2.6 0.3 0.6 It is known that the weight loss of those who have completed the program follows a normal distribution with variance of 2.23 kg². using the data provided above, identify whether the z-distribution or the t-distribution is to be used based on the number of observations given then 1. find the estimated true mean (point estimate) weight loss of the program participants; 2. find the measure of estimate's precision (margin of error). 3. construct and interpret a 95% confidence interval for the true mean weight loss of the participants who have completed the dance program.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A local government official observed an increase in the number of individuals with cardiovascular and obesity problems in his barangay. It is known that obesity results in greater risk of having illnesses like diabetes and heart problems. In order to improve the health conditions of his constituents, he encouraged them to participate in his Zumbalik Alindog Program every weekend for 3 months to promote an easy and cheap way to reduce weight. The weight loss data (in kilograms) of the 28 randomly selected participants after completing the program are: 2.0 2.2 0.3 2.4 2.5 1.2 0.4 0.9 3.1 1.9 0.9 90.5 1.7 0.5 0.7 1.7 1.4 0.5 3.0 0.5 1.1 1.6 0.9 1.5 0.7 2.6 0.3 0.6 It is known that the weight loss of those who have completed the program follows a normal distribution with variance of 2.23 kg². using the data provided above, identify whether the z-distribution or the t-distribution is to be used based on the number of observations given then 1. find the estimated true mean (point estimate) weight loss of the program participants; 2. find the measure of estimate's precision (margin of error). 3. construct and interpret a 95% confidence interval for the true mean weight loss of the participants who have completed the dance program. 4. sketch the curve with proper labels and data.
Transcribed Image Text:A local government official observed an increase in the number of individuals with cardiovascular and obesity problems in his barangay. It is known that obesity results in greater risk of having illnesses like diabetes and heart problems. In order to improve the health conditions of his constituents, he encouraged them to participate in his Zumbalik Alindog Program every weekend for 3 months to promote an easy and cheap way to reduce weight. The weight loss data (in kilograms) of the 28 randomly selected participants after completing the program are: 2.0 2.2 0.3 2.4 2.5 1.2 0.4 0.9 3.1 1.9 0.9 90.5 1.7 0.5 0.7 1.7 1.4 0.5 3.0 0.5 1.1 1.6 0.9 1.5 0.7 2.6 0.3 0.6 It is known that the weight loss of those who have completed the program follows a normal distribution with variance of 2.23 kg². using the data provided above, identify whether the z-distribution or the t-distribution is to be used based on the number of observations given then 1. find the estimated true mean (point estimate) weight loss of the program participants; 2. find the measure of estimate's precision (margin of error). 3. construct and interpret a 95% confidence interval for the true mean weight loss of the participants who have completed the dance program. 4. sketch the curve with proper labels and data.
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