A survey found that 70% of college studentsstudents believe that their online education courses are as good as or superior to courses that use traditional face-to-face instruction.

a. Give the null hypothesis for testing the claim made by the survey.

b. Give the rejection region for a two-tailed test conducted at alphaαequals= 0.10.

Volume of a cylinder with a radius of 13 in and height of 30 in

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.