Many consumers pay careful attention to stated nutritional contents on packaged foodswhen making purchases. It is therefore important that the information on packages beaccurate. The null hypothesis is that the stated calorie content on a frozen dinner packageis 240. A random sample of 12 frozen dinners of a certain type was selected and used totest this null hypothesis. Which of the following describes a Type I error? A.We conclude that the mean calorie content of the dinners is 240 when it actuallyis different from 240. B.We conclude that the mean calorie content of the dinners is not 240, when itactually is 240. C.We conclude that the mean calorie content of the dinners is 240, when it actuallyis 240. D.We conclude that the mean calorie content of the dinners is not 240 when itactually is different from 240.

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Description: Many consumers pay careful attention to stated nutritional contents on packaged foodswhen making purchases. It is therefore important that the information on packages beaccurate. The null hypothesis is that the stated calorie content on a frozen dinn

Identify the correct option that best describes the type I error for the given null hypothesis. The…

Answered: Many consumers pay careful attention 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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Many consumers pay careful attention to stated nutritional contents on packaged foods

when making purchases. It is therefore important that the information on packages be

accurate. The null hypothesis is that the stated calorie content on a frozen dinner package

is 240. A random sample of 12 frozen dinners of a certain type was selected and used to

test this null hypothesis. Which of the following describes a Type I error?

We conclude that the mean calorie content of the dinners is 240 when it actually

is different from 240.

We conclude that the mean calorie content of the dinners is not 240, when it

actually is 240.

We conclude that the mean calorie content of the dinners is 240, when it actually

is 240.

We conclude that the mean calorie content of the dinners is not 240 when it

actually is different from 240.

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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