Comparing Z-Scores 1. Here are some summary statistics for the ages of students in the undergraduate and graduate programs at one university: Degree level Mean age Standard deviation Undergraduate = 22 years = 5 years Graduate = 38 years = 12.5 years Isabella is a 20-year-old undergraduate student and Hannah is a 33-year-old graduate student at the university. Relative to their degree level, which student is younger? 2. In the first round of a tournament, Keri bowled a 205. The first round's mean score was 210, with a standard deviation of 12. In the second round, she bowled a 211. The second round's mean was 219, with a standard deviation of 15. Find the Z-scores for Keri's two scores, and use them to determine which score was better relative to the other bowlers' scores in that round. 3. Inside an office building, the average temperature of room 1 is 88.79 degrees Celsius with a standard deviation of 3.14. Room 2 has an average temperature of 91.55 degrees Celsius with a standard deviation of 4.63. On Monday, room 1 was recorded to be 93.84 degrees, and room 2 was recorded as 83.31 degrees. Use the z-scores to determine which room had a more significant change relative to the average temperature of each room. 1:6.0 2. . On average a cow from Big Ranch makes 9.17 kg of milk a day with a standard deviation of 3.58. A cow from Chico Ranch produces 9.84 kg of milk a day with a standard deviation of 2.61. Last week a cow from Big Ranch, named Spot, produced 12.36 kg in a single day, and a cow from Chico Ranch, named Felix, produced 11.1 kg of milk in a day. If a farmer wanted to purchase either Spot or Felix, which should they choose? Why?