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 is the p ‑value for an appropriate hypothesis test of the researcher’s claim?