According to a report by the U.S. Fish and Wildlife Service, the mean length of six-year-old rainbow trout in the Arolik River in Alaska is 484 millimeters with a standard deviation of 44 millimeters. Assume these lengths are normally distributed. Round the answers to at least two decimal places. (a) Find the 31% percentile of the lengths. (b) Find the 70% percentile of the lengths. (c) Find the first quartile of the lengths

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P9, the 9-percentile. This is the temperature reading separating the bottom 9% from the top 91%.

For a data set of the pulse rates for a sample of adult​ females, the lowest pulse rate is 38beats per​ minute, the mean of the listed pulse rates is x =73.0 beats per​ minute, and their standard deviation is sequals=23.2 beats per minute.   a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the​ females? b. How many standard deviations is that​ [the difference found in part​ (a)]? c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 38 beats per minute​ significant?

Students at TAMUCT pay on average $5,200 per semester for tuition with a standar deviation of $120. In a group of 1,000 students, how many would we expect to pay more than $5,500 per semester?