The mean number of eggs per person eaten in the United States is 252. Do college students eat less eggs than the average American? The 51 college students surveyed averaged 234 eggs per person and their standard deviation was 83.2. What can be concluded at the = 0.05 level of significance?

1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
2. The null and alternative hypotheses would be:

H0:H0: ? p Select an answer > < =

H1:H1: ? p Select an answer = < >

1. The test statistic ? t z = (please show your answer to 3 decimal places.)
2. The p-value = (Please show your answer to 4 decimal places.)
3. The p-value is ? >
4. Based on this, we should Select an answer fail to reject accept reject the null hypothesis.
5. Thus, the final conclusion is that ...
   • The data suggest that the populaton mean is significantly less than 252 at = 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 252.
   • The data suggest that the population mean is not significantly less than 252 at = 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 252.
   • The data suggest that the sample mean is not significantly less than 252 at = 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 234.
6. Interpret the p-value in the context of the study.

• If the population mean number of eggs consumed by college students per year is 252 and if another 51 college students are surveyed then there would be a 6.43238385% chance that the sample mean for these 51 students surveyed would be less than 234.
• There is a 6.43238385% chance of a Type I error.
• If the population mean number of eggs consumed by college students per year is 252 and if another 51 students are surveyed then there would be a 6.43238385% chance that the population mean number of eggs consumed by college students per year would be less than 252.
• There is a 6.43238385% chance that the population mean number of eggs consumed by college students per year is less than 252.

1. Interpret the level of significance in the context of the study.
   • If the population population mean number of eggs consumed by college students per year is less than 252 and if another 51 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 252.
   • There is a 5% chance that you will find the chicken that lays the golden eggs.
   • There is a 5% chance that the population mean number of eggs consumed by college students per year is less than 252.
   • If the population mean number of eggs consumed by college students per year is 252 and if another 51 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 252.