A quality control expert at a pretzel factory took a random sample of 10 bags from a batch of over 500 bags and measured the amount of pretzels in each bag in the sample. The target amount is 440 g, and they want to test if
the mean amount is on target or not.
Let u be the mean amount in each bag in the entire batch and be the mean amount in each bag in the sample.
Which of the following is an appropriate set of hypotheses for their significance test?

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?