2 only use second pic as guidelines 1. We want to determine if students in a class on average score higher than 600 in the exam. We haveinformation that the class' standard deviation for the scores is 100. So, we collect the data of 20 students byusing random samples and record their marks. Set the significance level to be 0.05. The average score of 20students 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 of38 college students from a single college. The average height of the sample is 68 inches and a standarddeviation of 5.33 inches. Let's test if the mean height of students at this college is significantly different than66.5 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 asignificance level of 0.05. Assume that the two population variances are not equal.GROUPMETHOD1Paced1042.797.522Intensive1246.316.44 A. Write down the null and alternative hypotheses. Express them symbolically.Example: Ho: µs 0.5 H1: µ 0.5B. Identify the type of test (.Example:t- test, two populations, right-tailedC. Identify the rejection region. You should indicate the critical value and degrees of freedom, df, (if applicable) IExamples: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 thatthe 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.

Question

2 only use second pic as guidelines 1. We want to determine if students in a class on average score higher than 600 in the exam. We haveinformation that the class' standard deviation for the scores is 100. So, we collect the data of 20 students byusing random samples and record their marks. Set the significance level to be 0.05. The average score of 20students 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 of38 college students from a single college. The average height of the sample is 68 inches and a standarddeviation of 5.33 inches. Let's test if the mean height of students at this college is significantly different than66.5 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 asignificance level of 0.05. Assume that the two population variances are not equal.GROUPMETHOD1Paced1042.797.522Intensive1246.316.44 A. Write down the null and alternative hypotheses. Express them symbolically.Example: Ho: µs 0.5 H1: µ> 0.5B. Identify the type of test (.Example:t- test, two populations, right-tailedC. Identify the rejection region. You should indicate the critical value and degrees of freedom, df, (if applicable) IExamples: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 thatthe 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.

Accepted Answer

2)
The sample mean is 68.