Answered: researcher is conducting a study to…

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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Question

A researcher is conducting a study to examine what factors influence older adult's Binge Drinking behaviors, with binge drinking being consuming 4 or more drinks at a time. They gathered data from 1,666 older adults in the US and asked them how many days they drank four or more drinks in the past 12 months. They found that on average older adults in their sample drank 2.62 days per week with a standard deviation of 11.52. What is the confidence interval for the mean number of binge drinking days in the entire US population?

Construct a 95% confidence interval around the point estimate. Remember to: (1) choose an alpha, 2) find the z score & 3) calculate the confidence interval.

What is the upper limit of the confidence interval, rounded to 2 decimals?

How would you interpret the confidence interval you just calculated?

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 + ...

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