A researcher is curious if age makes a difference in whether ornot students make use of the gym at a university. He takes a randomsample of 30 days and counts the number of upperclassmen (Group 1)and underclassmen (Group 2) that use the gym each day. The data arebelow. The population standard deviation for underclassmen is knownto be 22.57 and the population standard deviation for upperclassmenis known to be 13.57.
Upper Classmen average = 202.4, population SD = 13.57, n =30
Under Classmen average = 191.3, population SD = 22.57, n =30
Is there evidence to suggest that a difference exists in gymusage based on age? Construct a confidence interval for the dataabove to decide. Use α=0.10. Confidence Interval (round to 4decimal places):
_____ < μ1 - μ2 < _____
