A consumer advocacy group tests the mean vitamin C content of 50 different brands of bottled juices using, in each case, a t-test of significance in which the null hypothesis is the mean amount of vitamin C that is on the nutrition facts label forthat brand of juice. They find that two of the 50 juice brands have statistically significantly lower Vitamin C than claimed at the 0.05 level. Is this an important discovery? Explain. 2. A consumer advocacy group tests the mean vitamin C content of 50 different brands of bottledjuices using, in each case, a t-test of significance in which the null hypothesis is the mean amountof vitamin C that is on the nutrition facts label for that brand of juice. They find that two of the 50juice brands have statistically significantly lower Vitamin C than claimed at the a = 0.05 level.Is this an important discovery? Explain.

Name: A consumer advocacy group tests the mean vitamin C content of 50 diffe
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Description: A consumer advocacy group tests the mean vitamin C content of 50 different brands of bottled juices using, in each case, a t-test of significance in which the null hypothesis is the mean amount of vitamin C that is on the nutrition facts label fortha

GivenThe mean vitamin C content for 50 different brands of bottled juices are tested. Let the mean…

Answered: 2. A consumer advocacy group tests the…

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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A consumer advocacy group tests the mean vitamin C content of 50 different brands of bottled juices using, in each case, a t-test of significance in which the null hypothesis is the mean a

mount of vitamin C that is on the nutrition facts label for

that brand of juice. They find that two of the 50 juice brands have statistically significantly lower Vitamin C than claimed at the 0.05 level. Is this an important discovery? Explain.

Transcribed Image Text:2. A consumer advocacy group tests the mean vitamin C content of 50 different brands of bottled juices using, in each case, a t-test of significance in which the null hypothesis is the mean amount of vitamin C that is on the nutrition facts label for that brand of juice. They find that two of the 50 juice brands have statistically significantly lower Vitamin C than claimed at the a = 0.05 level. Is this an important discovery? Explain.

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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