The mean number of eggs per person eaten in the United States is 254. Do college students eat more eggs than the average American? The 51} college students surveyed averaged 29D eggs per person and their standard deviation was 30.4. What can be concluded at the o: = 0.05 level of significance? a. For miss-way. we should use b. The null and alternative hypotheses would be: He: _[:l a: _:l c. The test statistic = C] [please show your answer to 3 decimal places.} d. The p-value = [:] {Please show your answer to 4 decimal places.) e. The p-value is or f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that CI The data suggest that the population mean is not signicantly more than 254 at or = {1.95, so there is statistically insignificant evidence to conclude that the population mean number of eggs consumed by college students per year is more than 254. O The data suggest that the populaton mean is signicantly more than 254 at o: = 0115, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is more than 254. CI The data suggest that the sample mean is not significantly more than 254 at or = I105, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is more than 299. h. Interpret the p-value in the context of the study. D If the population mean number of eggs consumed by college students per year is 254 and if another 50 oollege students are surveyed then there would be a H.1323395356 chance that the sample mean for these 5D students surveyed would be greater than 259. D If the population mean number of eggs consumed by college students per year is 254 and if another 50 students are surveyed then there would be a 0.1323 395335 chance that the population mean number of eggs consumed by college students per year would be greater than 254. C) There is a {11325395556 chance of a Type I error. C) There is a 0.1325395 chance that the population mean number of eggs consumed by college students per vear is greater than 254 . i. Interpret the level of significance in the context of the study. Q There is a 52- chance that the population mean number of eggs consumed by college students per year is more than 254. Q There is a 52- chance that you will find the chicken that lays the golden eggs. 0 If the population population mean number of eggs consumed by college students per year is more than 254 and if another 50 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 254. D If the population mean number of eggs consumed by college students per year is 254 and if another 50 college students are surveyed then there would be a 535 chance that we would end up falsely concluding that the population mean number of eggs consumed by college students per year is more than 254