Question

The mean number of eggs per person eaten in the United States is 234. Do college students eat more eggs than the average American? The 65 college students surveyed averaged 248 eggs per person and their standard deviation was 92.4. What can be concluded at the α = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H 0 : H 1 : 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 α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly more than 234 at α = 0.01, so there is not enough evidence to conclude that the sample mean number of eggs consumed by college students per year is more than 248. The data suggest that the population mean is not significantly more than 234 at α = 0.01, so there is not enough evidence to conclude that the population mean number of eggs consumed by college students per year is more than 234. The data suggest that the populaton mean is significantly more than 234 at α = 0.01, so there is enough evidence to conclude that the population mean number of eggs consumed by college students per year is more than 234. Interpret the p-value in the context of the study. There is a 11.3178436% chance that the population mean number of eggs consumed by college students per year is greater than 234 . There is a 11.3178436% chance of a Type I error. If the population mean number of eggs consumed by college students per year is 234 and if another 65 college students are surveyed then there would be a 11.3178436% chance that the sample mean for these 65 students surveyed would be greater than 248. If the population mean number of eggs consumed by college students per year is 234 and if another 65 students are surveyed then there would be a 11.3178436% chance that the population mean number of eggs consumed by college students per year would be greater than 234. Interpret the level of significance in the context of the study. There is a 1% chance that you will find the chicken that lays the golden eggs. If the population population mean number of eggs consumed by college students per year is more than 234 and if another 65 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 234. If the population mean number of eggs consumed by college students per year is 234 and if another 65 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 more than 234. There is a 1% chance that the population mean number of eggs consumed by college students per year is more than 234.

Answer 1

x̅ = 248, s = 92.4, n = 65

Null and Alternative hypothesis:

Ho : µ = 234

H1 : µ > 234

Test statistic:

t = (x̅- µ)/(s/√n) = (248 - 234)/(92.4/√65) = 1.222

df = n-1 = 64

p-value = T.DIST.RT(1.2216, 64) = 0.1132

Decision:

p-value > α, Do not reject the null hypothesis

Conclusion:

The data suggest that the population mean is significantly more than 234 at α = 0.01, so there is enough evidence to conclude that the population mean number of eggs consumed by college students per year is more than 234.

p-value:

If the population mean number of eggs consumed by college students per year is 234 and if another 65 students are surveyed then there would be a 11.3178436% chance that the population mean number of eggs consumed by college students per year would be greater than 234.

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 more than 234.