Question 7 A machine is designed to fill 16-ounce bottles of shampoo. When the machine Type numbers in the boxes. is working properly, the amount poured into the bottles follows a normal by Part 1: 5 points distribution with mean 16.05 ounces with a standard deviation of .2005 aby Part 2: 5 points ounces. 10 points If four bottles are randomly selected each hour and the number of ounces in each bottle is measured, then 95% of the means calculated should occur in what interval? Hint: the standard deviation rule says that 95% of the observations are within how many standard deviations away from the mean? Round answers to four decimal places. Question 8 Suppose that the distribution for total amounts spent by students vacationing Type numbers in the boxes. for a week in Florida is normally distributed with a mean of 650 and a 10 points standard deviation of 120. Suppose you take a simple random sample (SRS) of 15 students from this distribution. What is the probability that a SRS of 15 students will spend an average of between 600 and 700 dollars? Round to five decimal places