A food company claims a population mean of 625 calories in their frozen lasagna entrées. A sample of 50 of these entrees were collected for a hypothesis test. The null hypothesis is that the population mean calories is 625. The alternative hypothesis is that the population mean calories is higher than 625. Below are the test results. At the 5% significance level, what is the conclusion of the test?There is not enough evidence to conclude the population mean number of calories in the entrees is more than 625.There is enough evidence to conclude the population mean number of calories in the entrees is more than 625.The mean is 630.The mean is 625. - One-Sample TDescriptive Statistics95% Lower BoundN Mean StDev SE Meanfor u50 630.00 15.002.12626.44Hi mean of SampleTestH μ= 625Null hypothesisAlternative hypothesis H;: µ > 625T-Value P-Value2.360.011

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Answered: A food company claims a population mean…

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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A food company claims a population mean of 625 calories in their frozen lasagna entrées. A sample of 50 of these entrees were collected for a hypothesis test. The null hypothesis is that the population mean calories is 625. The alternative hypothesis is that the population mean calories is higher than 625. Below are the test results.

At the 5% significance level, what is the conclusion of the test?

There is not enough evidence to conclude the population mean number of calories in the entrees is more than 625.
There is enough evidence to conclude the population mean number of calories in the entrees is more than 625.
The mean is 630.
The mean is 625.

- One-Sample T
Descriptive Statistics
95% Lower Bound
N Mean StDev SE Mean
for u
50 630.00 15.00
2.12
626.44
Hi mean of Sample
Test
H μ= 625
Null hypothesis
Alternative hypothesis H;: µ > 625
T-Value P-Value
2.36
0.011

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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