1. We want to determine if the data indicate that the average SAT score for computer science major should be higher than 1143 using a level of significance of = 10%.

(a) Explain why we can use a Student's t distribution. How many degrees of freedom do we use?

We can use a student's t-distribution

(b) What are the null and alternate hypotheses?

(c) Compute the t value of the sample test statistic. Truncate to two decimal places.

(d) Estimate the p-value for the test.

(e) Do we reject or fail to reject H0?

(f) Interpret the results.

2. Find a 90% confidence interval for the population average SAT score of all computer science majors. Truncate to two decimal places. What does the confidence interval mean in the context of this problem?