For each of the variables described below, indicate whether it is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible. Variable Type of Level of variable measurement X ? O Quantitative O Nominal (a) Height (in centimeters) of an O Ordinal Olympic athlete O Interval O Categorical O Ratio O Quantitative O Nominal O Ordinal (b) Temperature (in degrees Celsius) O Interval O Categorical O Ratio (c) Customer satisfaction rating (very O Quantitative O Nominal satisfied, somewhat satisfied, O Ordinal somewhat dissatisfied, or very O Interval dissatisfied) O Categorical O RatioEureka is a weather station in the state of California and Duxbury is a weather station in the state of Massachusetts. On one summer day, the noontime temperature recorded at Eureka was 18 Celsius, and the noontime temperature recorded at Duxbury was 260 Celsius. On that same day, the noontime temperatures at weather stations in California had a population mean of 29.7 Celsius and a standard deviation of 6.3 Celsius. Also on that day, the noontime temperatures at weather stations in Massachusetts had a population mean of 33.8 Celsius and a standard deviation of 6.60 Celsius. On the summer day, each state's distribution of noontime temperatures at its weather stations was clearly bell-shaped. (a) Find the E-scores of Eureka's noontime temperature on the summer day as a weather station in California and Duxbury's noontime temperature on the summer day as a weather station in Massachusetts. Round your answers to X 5 ? two decimal places. z-score of Eureka's noontime temperature: z-score of Duxbury's noontime temperature: (b) Relative to its population, which weather station had the lower noontime temperature? Choose the best answer based on the =-scores of the two noontime temperatures. O Eureka X 5 ? O Duxbury It is unclear which weather station had the lower noontime temperature relative to its population