Alexia relation coefficient and the... V Espa Students who complete their exams early certainly can intimidate the other students, but do the early finishers perform significantly differently than the other students? A random sample of 37 students was chosen before the most recent exam in Prof. Martingale's class, and for each student, both the score on the exam and the time it took the student to complete the exam were recorded. The least-squares regression equation relating time to complete (denoted by x, in minutes) and exam score (denoted by y) was y = 56.33 +0.34x. The standard error of the slope of this least-squares regression line was approximately 0.23. Test for a significant linear relationship between the two variables exam score and exam completion time for students in Prof. Martingale's class by doing a hypothesis test regarding the population slope , . (Assume that the variable y follows a normal distribution for each value of x.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) M (a) State the null hypothesis Ho and the alternative hypothesis H1- B P Ho : D X (b) Determine the type of test statistic to use. Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) X 5 (d) Find the p-value. (Round to three or more decimal places.) (e) Based on the data, can we conclude (using the 0.05 level) that there is a significant linear relationship between exam score and exam completion time for students in Prof. Martingale's class? Yes No