On the SAT exam, a total of 25 minutes is allotted for students to answer 20 math questions without the use of a calculator. A guidance counselor would like to know if the students in his school are prepared to complete this portion of the exam in the time allotted. To investigate, the counselor selects a random sample of 35 students and administers this portion of the test. The students are instructed to turn in their test as soon as they have completed the questions. The mean amount of time taken by the students is 23 point 5 minutes with a standard deviation of 4 point 8 minutes. The counselor would like to know if the data provide convincing evidence that the true mean amount of time needed for all students of this school to complete this portion of the test is less than 25 minutes and therefore tests the hypotheses ratio of cap h sub 0 to mu is equal to 25 versus ratio of cap h sub A to mu is less than 25 , where mu is equal to the true mean amount of time needed for students of this school to complete this portion of the exam. The conditions for inference are met. The test statistic is t is equal to negative 1 point 8 5 and the cap p -value is between 0 point 0 2 5 and 0 point 0 5 What conclusion should be made at the significance level, alpha is equal to 0 point 0 1 ?