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.

Question

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.

Accepted Answer

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

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.)