1. We want to determine if students in a class on average score higher than 600 in the exam. We have information that the class' standard deviation for the scores is 100. So, we collect the data of 20...

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Extracted text: 1. We want to determine if students in a class on average score higher than 600 in the exam. We have information that the class' standard deviation for the scores is 100. So, we collect the data of 20 students by using random samples and record their marks. Set the significance level to be 0.05. The average score of 20 students is 641. 2. The mean height of US adults age 20 and older is about 66.5 inches. In our sample data, we have a sample of 38 college students from a single college. The average height of the sample is 68 inches and a standard deviation of 5.33 inches. Let's test if the mean height of students at this college is significantly different than 66.5 inches. Use a level of significance of 5%. 3. An experiment is conducted to determine whether paced tutoring is less effective than intensive tutoring. Two randomly chosen groups are tutored separately and then administered proficiency tests. Use a significance level of 0.05. Assume that the two population variances are not equal. GROUP METHOD 1 Paced 10 42.79 7.52 2 Intensive 12 46.31 6.44


Extracted text: A. Write down the null and alternative hypotheses. Express them symbolically. Example: Ho: µs 0.5 H1: µ> 0.5 B. Identify the type of test (. Example: t- test, two populations, right-tailed C. Identify the rejection region. You should indicate the critical value and degrees of freedom, df, (if applicable) I Examples: z> 1.96 (critical value = 0.025) t > 2.571 (critical value = 0.025, df = 5) D. Solve for the test statistic ( E. Give the appropriate conclusion. Your conclusion must be hased on the claim mentioned in the problem. Just saying that the null hypothesis is rejected or accepted is not enough. (* *. Example: There is sufficient evidence to show that the mean P3 score of 4BSCE-01 students is greater than 94. Express your answers in 3 decimal places. Box your answers.