Suppose the weights of seventh? graders at a certain school vary according to a normal distribution, with a mean of 100 pounds and a standard deviation of 7.5 pounds. a researcher believes the average weight has decreased since the implementation of a new breakfast and lunch program at the school. she finds, in a random sample of 35 students, an average weight of 98 pounds.

what would the p? value tell the researcher in this situation?

a.) the probability that a random sample of students would have a mean of 100 pounds, if the true population mean is 98 pounds

b.) the probability that a random sample of students would have a mean of 98 pounds, if the true population mean is 100 pounds

c.)the probability that a random sample of students would have a mean less than or equal to 100 pounds, if the true population mean is 98 pounds

d.)the probability that a random sample of students would have a mean less than or equal to 98 pounds, if the true population mean is 100 pounds

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

Aplane intersects a pris paralel to the base of the prism. the cross section is a polygon wth eight sides. how many sides does the base of the prism have? a. 10 b. 8 c. 7 d. 9

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?