III. ASSESSMENT A. State the null and alternative hypotheses in words and in symbol. 1. The average age of community college students is 24.6 years. Ho: HI: 2. The average age of attorneys is greater than 25.4 years. Ho: HI: 3. The average score of high school basketball games is less than 88. Ho: HI: B. Determine if one-tailed test or two-tailed test fits the given alternative hypothesis. 1. The mean height of Grade 12 students is less than 66 inches. 2. The standard deviation of their height is not equal to 5 inches. 3. The proportion of senior male students' height is significantly higher than that of senior female students 4. The average grade of Grade 11 students in Statistics is lower than their average grade in Calculus. C. Illustrate the rejection region given the critical value and identify if the t-values lie in the non-rejection region or rejection region. 1. critical t-value of 1.318 computed t-value of 1.1 The computed t-value is at the region. 1. critical t-value of -1.671 computed t-value of -2.45 The computed t-value is at the region. D. Choose the letter of the correct answer. Situation 1: A quality control expert wants to test the null hypothesis that an imported solar panel is an effective source of energy. 1. What would be the consequence of a Type I error in this context? a. They do not conclude that the solar panel is c. They do not conclude that the solar panel effective when it is not actually effective. is effective when it is actually effective b. They conclude that the solar panel is d. They conclude that the solar panel is effective when it is actually effective. effective when it is not actually effective. 2. What would be the consequence of a Type II error? a. They do not conclude that the solar panel is c. They do not conclude that the solar panel effective when it is not actually effective. is effective when it is actually effective. b. They conclude that the solar panel is d. They conclude that the solar panel is effective when it is actually effective. effective when it is not actually effective