A simple random sample of 49 women has a mean height of 63.5 inches and assumes the population standard deviation is 3.5 inches. The 99% confidence interval for the population mean is: The board of directors of a school collected data on all students and concluded that there is no correlation between the number of absences and grade point average. Which of the following statements are consistent with the board of a director's findings? (Select the correct option) Since there is no correlation between the variables, we cannot use the value of one variable to predict the value of the other. O There is a linear relationship between the number of absences and grade point average. This statement describes a negat y associating a low number of absences with a high grade point average. Students with fewer absences tend to have higher grade point averages because they are present for more of their academic classes. Pins produced from a certain factory weigh 30.1 mg on average, with a standard deviation of 2.5 mg. 2500 pins will be sampled at random from the factory and weighed, and the mean weight will be recorded. What is the probability the mean will be greater than 30.15? (Fill in the numerical value. Report the probability as a value between 0 and 100 with 2 decimal places.) A commuter has two options for rideshare services, Pic MyRide, and Local Ride. Both service providers keep track of their drivers' on-time pickups. Based on the data: Event Number The ride is from Pic MyRide 65 Rides from Pic MyRide with pick-up 45 on-time The pick-up is late 40 Total rides 100 If a ride is chosen at random on a given day. Select the correct choice. O The chance of getting a pick-up on time is 30% O The probability that a ride is from Pic MyRide and the pick-up is late is 60% O The events having a ride from Local-ride and get the service on time are dependent events