1. Consider a statistics class that has sessions offered during the day and sessions offered at night. You want to test if their mean exam scores are the same. A random sample of 35 exam scores from the daytime class reveals a mean of 75.86 with a standard deviation of 16.91. A random sample of 37 exam scores from the night class reveals a mean of 75.41 with a standard deviation of 19.73.

Construct a 90% confidence interval for the difference in average exam scores between daytime and night classes. (Keep 3 decimal places)

- Based on the sample data, we are 90% confident the difference in average exam scores between daytime and night classes is between

- What is the test statistic value? Include 3 decimal places in your answer.

2.

Seven eighth graders at Kennedy Middle School measured how far they could push the shot-put with their dominant (writing) hand and their weaker (non-writing) hand. They thought that they could push equal distances with either hand. The data were collected and recorded in the following table. Distance (in feet) Student Dominant Hand Weaker Hand 1 30 28 2 26 14 3 34 27 4 17 18 5 19 17 6 26 26 7 20 14