The mean number of eggs per person eaten in the United States is 263. Do college students eat less eggs than the average American? The 62 college students surveyed averaged 260 eggs per person and their standard deviation was 30.3. What can be concluded at the αα = 0.05 level of significance?For this study, we should use The null and alternative hypotheses would be: H0:H0: Correct H1:H1: Correct The test statistic = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ...The data suggest that the sample mean is not significantly less than 263 at αα = 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 260.The data suggest that the population mean is not significantly less than 263 at αα = 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 263.The data suggest that the populaton mean is significantly less than 263 at αα = 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 263.Interpret the p-value in the context of the study.There is a 21.93189604% chance that the population mean number of eggs consumed by college students per year is less than 263.If the population mean number of eggs consumed by college students per year is 263 and if another 62 students are surveyed then there would be a 21.93189604% chance that the population mean number of eggs consumed by college students per year would be less than 263.If the population mean number of eggs consumed by college students per year is 263 and if another 62 college students are surveyed then there would be a 21.93189604% chance that the sample mean for these 62 students surveyed would be less than 260. There is a 21.93189604% chance of a Type I error.Interpret the level of significance in the context of the study.There is a 5% chance that the population mean number of eggs consumed by college students per year is less than 263.If the population population mean number of eggs consumed by college students per year is less than 263 and if another 62 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 263.If the population mean number of eggs consumed by college students per year is 263 and if another 62 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 263.There is a 5% chance that you will find the chicken that lays the golden eggs.

Given that Sample size n =62 Sample mean =260 Standard deviation =30.3 NOTE:- According to bartleby…

Answered: For this study, we should use The…

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 263. Do college students eat less eggs than the average American? The 62 college students surveyed averaged 260 eggs per person and their standard deviation was 30.3. What can be concluded at the αα = 0.05 level of significance?

For this study, we should use
The null and alternative hypotheses would be:

H0:H0: Correct

H1:H1: Correct

The test statistic = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is αα
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest that the sample mean is not significantly less than 263 at αα = 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 260.
- The data suggest that the population mean is not significantly less than 263 at αα = 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 263.
- The data suggest that the populaton mean is significantly less than 263 at αα = 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 263.
Interpret the p-value in the context of the study.
- There is a 21.93189604% chance that the population mean number of eggs consumed by college students per year is less than 263.
- If the population mean number of eggs consumed by college students per year is 263 and if another 62 students are surveyed then there would be a 21.93189604% chance that the population mean number of eggs consumed by college students per year would be less than 263.
- If the population mean number of eggs consumed by college students per year is 263 and if another 62 college students are surveyed then there would be a 21.93189604% chance that the sample mean for these 62 students surveyed would be less than 260.
- There is a 21.93189604% chance of a Type I error.
Interpret the level of significance in the context of the study.
- There is a 5% chance that the population mean number of eggs consumed by college students per year is less than 263.
- If the population population mean number of eggs consumed by college students per year is less than 263 and if another 62 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 263.
- If the population mean number of eggs consumed by college students per year is 263 and if another 62 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 263.
- There is a 5% chance that you will find the chicken that lays the golden eggs.

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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