An educational psychologist is interested in seeing if Return To College (RTC) studentsthat is, students who have not attended school for more than 4 years in order to work or raise a familyare more motivated to achieve higher grades than students who have not taken a break in their education. She knows that the distribution of grade point averages (GPAs) for students at her college who have not interrupted their education is normally distributed with a mean of 2.90 and a standard deviation of 0.89. She collects the following sample of GPAs for 10 RTC students. Use the data in Table 9.6 to answer the following questions.

GPA for RTC Students

GPA

3.70

2.60

3.10

3.00

3.10

3.80

2.60

3.40

3.00

2.80

Use the data to answer the following questions:

1. Find the mean GPA for the RTC students in the sample.
2. Determine the null and alternative hypotheses.
3. **Decide if the GPAs earned by RTC students are significantly higher than the population.

ALL WORK MUST BE SHOWN- NO TI CALCULATIONS