The mean number of eggs per person eaten in the United States is 255. Do college students eat less eggs than the average American? The 68 college students surveyed averaged 246 eggs per person and their standard deviation was 30.5. What can be concluded at the αα = 0.05 level of significance? e. The p-value is ? vaf. Based on this, we should Select an answerg. Thus, the final conclusion is that ...|the null hypothesis.OThe data suggest that the sample mean is not significantly less than 255 at a = 0.05, so thereis statistically insignificant evidence to conclude that the sample mean number of eggsconsumed by college students per year is less than 246.O The data suggest that the population mean is not significantly less than 255 at a = 0.05, sothere is statistically insignificant evidence to conclude that the population mean number ofeggs consumed by college students per year is less than 255.O The data suggest that the populaton mean is significantly less than 255 at a = 0.05, so there isstatistically significant evidence to conclude that the population mean number of eggsconsumed by college students per year is less than 255.h. Interpret the p-value in the context of the study.O There is a 0.88180677% chance that the population mean number of eggs consumed by collegestudents per year is less than 255.There is a 0.88180677% chance of a Type I error.O lf the population mean number of eggs consumed by college students per year is 255 and ifanother 68 college students are surveyed then there would be a 0.88180677% chance that thesample mean for these 68 students surveyed would be less than 246.O If the population mean number of eggs consumed by college students per year is 255 and ifanother 68 students are surveyed then there would be a 0.88180677% chance that thepopulation mean number of eggs consumed by college students per year would be less than255.i. Interpret the level of significance in the context of the study.O f the population population mean number of eggs consumed by college students per year isless than 255 and if another 68 college students are surveyed then there would be a 5% chancethat we would end up falsely concluding that the population mean number of eggs consumedby college students per year is equal to 255.O lf the population mean number of eggs consumed by college students per year is 255 and ifanother 68 college students are surveyed then there would be a 5% chance that we would endup falsely concluding that the population mean number of eggs consumed by college studentsper year is less than 255.O There is a 5% chance that the population mean number of eggs consumed by college studentsper year is less than 255.O There is a 5% chance that you will find the chicken that lays the golden eggs.Submit Question

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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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The mean number of eggs per person eaten in the United States is 255. Do college students eat less eggs than the average American? The 68 college students surveyed averaged 246 eggs per person and their standard deviation was 30.5. What can be concluded at the αα = 0.05 level of significance?

e. The p-value is ? va
f. Based on this, we should Select an answer
g. Thus, the final conclusion is that ...
|the null hypothesis.
OThe data suggest that the sample mean is not significantly less than 255 at a = 0.05, so there
is statistically insignificant evidence to conclude that the sample mean number of eggs
consumed by college students per year is less than 246.
O The data suggest that the population mean is not significantly less than 255 at a = 0.05, so
there is statistically insignificant evidence to conclude that the population mean number of
eggs consumed by college students per year is less than 255.
O The data suggest that the populaton mean is significantly less than 255 at a = 0.05, so there is
statistically significant evidence to conclude that the population mean number of eggs
consumed by college students per year is less than 255.
h. Interpret the p-value in the context of the study.
O There is a 0.88180677% chance that the population mean number of eggs consumed by college
students per year is less than 255.
There is a 0.88180677% chance of a Type I error.
O lf the population mean number of eggs consumed by college students per year is 255 and if
another 68 college students are surveyed then there would be a 0.88180677% chance that the
sample mean for these 68 students surveyed would be less than 246.
O If the population mean number of eggs consumed by college students per year is 255 and if
another 68 students are surveyed then there would be a 0.88180677% chance that the
population mean number of eggs consumed by college students per year would be less than
255.
i. Interpret the level of significance in the context of the study.
O f the population population mean number of eggs consumed by college students per year is
less than 255 and if another 68 college students are surveyed then there would be a 5% chance
that we would end up falsely concluding that the population mean number of eggs consumed
by college students per year is equal to 255.
O lf the population mean number of eggs consumed by college students per year is 255 and if
another 68 college students are surveyed then there would be a 5% chance that we would end
up falsely concluding that the population mean number of eggs consumed by college students
per year is less than 255.
O There is a 5% chance that the population mean number of eggs consumed by college students
per year is less than 255.
O There is a 5% chance that you will find the chicken that lays the golden eggs.
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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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