A study was made to determine if the subject matter in a physics course is better understood when a lab constitutes part of the course. Students were randomly selected to participate in either a 3 hour course without labs or a 4 hour course with labs. In the section with labs, 11 students made an average grade of 85 with a standard deviation of 4.7, and in the section without labs, 17 students made an average grade of 79 with a standard deviation of 6.1. Would you say that the laboratory course increases the average grade by as much as 8 points? Assume the populations to have approximately unequal variances. What is the appropriate degrees of freedom for this test?

distrib 0.2061 OK

A pot of boiling soup with an internal temperature of 100° Fahrenheit was taken off the stove to cool in a 71°F room. After fifteen minutes, the internal temperature of the soup was 94°F. To the nearest minute, how long will it take the soup to cool to 82°F? min

Solve. 6x - X = 9 Round to 4 decimal places.