The p-value =  (Please show your answer to 4 decimal places.) The p-value is   ? α Based on this, we should      the null hypothesis.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The mean number of eggs per person eaten in the United States is 223. Do college students eat a different number of eggs than the average American? The 51 college students surveyed averaged 237 eggs per person and their standard deviation was 39.3. What can be concluded at the  αα = 0.01 level of significance?

  1. The p-value =  (Please show your answer to 4 decimal places.)
  2. The p-value is   ? α
  3. Based on this, we should      the null hypothesis.
  4. Thus, the final conclusion is that ...
    • The data suggest that the populaton mean is significantly different from 223 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 223.
    • The data suggest that the sample mean is not significantly different from 223 at αα = 0.01, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is different from 237.
    • The data suggest that the population mean is not significantly different from 223 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 223.
  5. Interpret the p-value in the context of the study.
    • There is a 1.40950886% chance of a Type I error.
    • If the population mean number of eggs consumed by college students per year is 223 and if another 51 college students are surveyed then there would be a 1.40950886% chance that the sample mean for these 51 students surveyed would either be less than 209 or greater than 237.
    • If the population mean number of eggs consumed by college students per year is 223 and if another 51 college students are surveyed then there would be a 1.40950886% chance that the population mean would either be less than 209 or greater than 237.
    • There is a 1.40950886% chance that the population mean number of eggs consumed by college students per year is not equal to 223.
  6. Interpret the level of significance in the context of the study.
    • There is a 1% chance that the population mean number of eggs consumed by college students per year is different from 223.
    • If the population mean number of eggs consumed by college students per year is 223 and if another 51 college students are surveyed then there would be a 1% chance that we would end up falsely concluding that the population mean number of eggs consumed by college students per year is different from 223.
    • If the population population mean number of eggs consumed by college students per year is different from 223 and if another 51 college students are surveyed then there would be a 1% chance that we would end up falsely concluding that the population mean number of eggs consumed by college students per year is equal to 223.
    • There is a 1% chance that you will find the chicken that lays the golden eggs.
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