Answered: Nine hundred (900) teenage boys and…

Name: 1. Nine hundred (900) teenage boys and 1500 teenage girls were randoml
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Description: 1. Nine hundred (900) teenage boys and 1500 teenage girls were randomly selected for a STEPS survey in Trinidad and Tobago in 2017. STEPS surveys are regularly carried out in Trinidad and Tobago to identify the major risk factors that determine the m

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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1. Nine hundred (900) teenage boys and 1500 teenage girls were randomly selected for a STEPS survey in Trinidad and Tobago in 2017. STEPS surveys are regularly carried out in Trinidad and Tobago to identify the major risk factors that determine the major diseases burden among teenagers. The mean BMI among the boys sample is 21.85, while the mean BMI among the sample of girls is 22.39. The corresponding sample standard deviations for the two groups of teenagers are 5.90 and 6.39, respectively.

Calculate the 88% confidence interval for the difference in the mean BMI between teenage boys and girls in Trinidad and Tobago. Write your answer to 3 decimal places.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Step 1

Given information-

1- Independent random sample of boys.

2 – Independent random sample of girls.

Now, critical value is given by-

Degree of freedom, df = 900+1500-2 = 2398

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