The mean number of eggs per person eaten in the United States is 267. Do college students eat less eggs than the average American? The 60 college students surveyed averaged 251 eggs per person and their standard deviation was 43.7. What can be concluded at the or = 0.01 level of significance? a. For this study, we should use |Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer H1: ? v Select an answer v c. The test statistic ? v = (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 ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly less than 267 at o - 0.01, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is less than 251. The data suggest that the populaton mean is significantly less than 267 at a - 0.01, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is less than 267. The data suggest that the population mean is not significantly less than 267 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean number of eggs consumed by college students per year is less than 267. h. Interpret the p-value in the context of the study. If the population mean number of eggs consumed by college students per year is 267 and if another 60 college students are surveyed then there would be a 0.31242067% chance that the sample mean for these 60 students surveyed would be less than 251. There is a 0.31242067% chance that the population mean number of eggs consumed by college students per year is less than 267. There is a 0.31242067% chance of a Type | error. If the population mean number of eggs consumed by college students per year is 267 and if another 60 students are surveyed then there would be a 0.31242067% chance that the population mean number of eggs consumed by college students per year would be less than 267. i. Interpret the level of significance in the context of the study. O There is a 1% chance that you will find the chicken that lays the golden eggs. O If the population population mean number of eggs consumed by college students per year is less than 267 and if another 60 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 267. If the population mean number of eggs consumed by college students per year is 267 and if another 60 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 less than 267. There is a 1% chance that the population mean number of eggs consumed by college students per year is less than 267
