The number of grams of carbohydrates in a 12-ounce serving of a regular soft drink is listed here for a random sample of sodas 48 37 52 40 43 46 41 3841 45 43 33 35 52 45 4130 34 46 40 40 42 39 32 What is the point estimation for a 95% confidence interval?What is the margin error for a 95% confidence interval?Estimate the mean number of carbohydrates in all brands of soda with 95% confidence. Interpret the confidence interval.

The objective of the question is to calculate the point estimation, margin of error and interpret…

Answered: The number of grams of carbohydrates in…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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The number of grams of carbohydrates in a 12-ounce serving of a regular soft drink is listed here for a random sample of sodas

48 37 52 40 43 46 41 38

41 45 43 33 35 52 45 41

30 34 46 40 40 42 39 32

What is the point estimation for a 95% confidence interval?
What is the margin error for a 95% confidence interval?
Estimate the mean number of carbohydrates in all brands of soda with 95% confidence. Interpret the confidence interval.

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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