Problem 4 A Psychology Professor at Sonoma State University conducted a research study by randomly assigning students to one of three test conditions. In one condition, a student took a test in a room where they were alone. In a second condition, a student took a test in a room while a friend of theirs was present. In a third condition, a student took a test in a room where their pet was present. The mean heart rate while the students completed the test was recorded and is presented in the following table. Test Condition Mean Heart Rate (in beats per minute)

Alone 87 73 88 72 76 101 72 Friend Present 93 97 84 99 111 70 100

Pet Present 87 72 89 63 65 67 58

Conduct a hypothesis test using = 5% to determine whether the mean heart rate while the students completed the test was the same under all three conditions.

Assume that the mean heart rate while students completed the test under each of these three conditions reasonably follows a normal distribution.