1. The nutritionist believes that students in elementary school are more likely to pack their lunch than students in high school. The nutritionist sampled 68 elementary school students and 78 high school students and asked each student if they packed their lunch. Is the nutritionist correct? Test at the 0.01 level of significance. If you assign the High School students as Population 1 and the Elementary School students as Population 2, which form of the hypotheses would you use?

2. An executive of a textbook company would like to know if there is a difference in the proportion of Seniors and Freshman who use an online textbook. A random sample of 232 college Seniors was selected and a random sample of 182 college Freshmen was selected. In the samples, 21% of the Seniors and 12% of the Freshmen were using online textbooks. Compute the test statistic for a hypothesis test to answer this question. Use Seniors as Population 1 and Freshmen as Population 2. Round final answer to 2 decimal places.

3. A member of a local school board wants to know if there is a difference in the average time that elementary school students and high school students spend riding the bus to school. A sample of 10 elementary school students had a mean bus ride of 26.8 minutes with a standard deviation of 3.0 minutes. A sample of 8 high school students had a mean of 28 minutes and a standard deviation of 3.7 minutes. Is there a difference in the average length of time that the ride the bus? Test at the 0.01 level of significance.
If you assign the Elementary students as Population 1 and the High School students as Population 2, what is the value of the Test Statistic? (Round final answer to 1 decimal place.)

4. An executive of a textbook company would like to know if there is a difference in the proportion of Seniors and Freshman who use an online textbook. A random sample of 227 college Seniors was selected and a random sample of 190 college Freshmen was selected. In the samples, 75 of the Seniors and 26 of the Freshmen were using online textbooks. Compute the test statistic for a hypothesis test to answer this question. Use Seniors as Population 1 and Freshmen as Population 2. Round final answer to 2 decimal places.