The average scores in a pre-final examination scored by students in the previous year was 63. A tutor, after conducting the weekly tests, wishes to check whether that average has increased this year. For a sample of 70 students, the mean score was 65 with a standard deviation of 15. You can reject the null hypothesis if the critical value is greater than 1.282. You calculate the critical value to be 1.12. Which of the following accurately characterize your conclusion?

You can accept the null hypothesis and do not accept alternate and conclude that the average test scores have increased.

You can accept the null hypothesis and reject alternate and conclude that the average test scores have not increased.

You can not reject the null hypothesis and accept alternate and conclude that the average test scores have increased.

You can not reject the null hypothesis; do not accept the alternate hypothesis and do not conclude that the average test scores have increased.

You can not reject the null hypothesis; do not accept alternate and conclude that the average test scores have increased.