i already have answer in question A-C. please help me answer the rest. topic unknown standard variation thank you
Transcribed Image Text: The mean number of eggs per person eaten in the United States is 273. Do college students eat a different
number of eggs than the average American? The 55 college students surveyed averaged 284 eggs per person
and their standard deviation was 65.3. What can be concluded at the a = 0.01 level of significance?
a. For this study, we should use t-test for a population mean
b. The null and alternative hypotheses would be:
Ho: P V
273
H: H V#
273
c. The test statistic [t V = 1.1249 (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 ? Va
f. Based on this, we should Select an answer
g. Thus, the final conclusion is that ...
v the null hypothesis.
O The data suggest that the populaton mean is significantly different from 273 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 different from 273.
O The data suggest that the population mean is not significantly different from 273 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 different from 273.
O The data suggest that the sample mean is not significantly different from 273 at a = 0.01, so
there is statistically insignificant evidence to conclude that the sample mean number of eggs
consumed by college students per year is different from 284.
h. Interpret the p-value in the context of the study.
O There is a 21.69497314% chance of a Type I error.
O There is a 21.69497314% chance that the population mean number of eggs consumed by
college students per year is not equal to 273.
O f the population mean number of eggs consumed by college students per year is 273 and if
another 55 college students are surveyed then there would be a 21.69497314% chance that the
sample mean for these 55 students surveyed would either be less than 262 or greater than 284.
O If the population mean number of eggs consumed by college students per year is 273 and if
another 55 college students are surveyed then there would be a 21.69497314% chance that the
population mean would either be less than 262 or greater than 284.
i. Interpret the level of significance in the context of the study.
O If the population mean number of eggs consumed by college students per year is 273 and if
another 55 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 different from 273.
O If the population population mean number of eggs consumed by college students per year is
different from 273 and if another 55 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 273.
O There is a 1% chance that the population mean number of eggs consumed by college students
per year is different from 273.
O There is a 1% chance that you will find the chicken that lays the golden eggs.