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