Activity 1. Let's Find It A. The graph of a t - distribution with 22 degrees of freedom is shown below. a. If the shaded area on the right is 0.01, what is the area to the left of t1? b. What does t1 represent? C. Find the value of t1? B. Find the length of the confidence interval given the following upper and lower limits. 1. Upper Confidence Limit = 0.913 Lower Confidence Limit = 0.389 2. Upper Confidence Limit = 0.687 Lower Confidence Limit = 0.283 3 . Upper Confidence Limit = 0.776 Lower Confidence Limit = 0.466 4. Upper Confidence Limit = 0.642 Lower Confidence Limit = 0.318 9 5. Upper Confidence Limit = 0.665 Lower Confidence Limit = 0.235 C. Find the length of confidence interval given the following data. 1. 0 = 0.4, n = 64, confidence level = 95% 2. 0 = 0.42, n = 36, confidence level = 99% 3. S = 4.5, n = 16, confidence level = 95% 4. S = 6.05, n = 12, confidence level = 95% 5. p = 0.45, n = 350, confidence level = 95% Activity 2. Problem Solving Read and analyze the problem carefully about f - distribution and sample size determination and do what is asked. 1. A researcher wants to determine the current percentage of malnourished adolescents in a certain province. Before the pandemic, he found out that 45% of adolescent are malnourished. He wants to be 95% confident in the results and is only comfortable with a 3% margin of error. How many adolescents must he include in his study to determine the current percentage of malnourished adolescent? 2. Your statistics teacher wants you to determine whether the mean score in calculus of the 30 students in Grade 11 STEM is different from the school of 85. The mean and standard deviation of the scores of the students in Grade 11 STEM are 89 and 21, respectively. Assume a 95 % confidence level. Construct the graph of test statistic t and interpret the result. Faith Formation: CHRIST-CENTEREDNESS Confidence intervals measure the degree of uncertainty or certainty in a sampling method. Life is full of challenges. There is a certain reason why we encounter different challenges and problems. God wants us to be a strong and independent person and He wants us to have a strong faith in Him. We cannot be certain about our job, our future finances, the opportunities we will or would not have in the future, our health, the health of those people we love, or even if we will live long or short. There is only one thing that is certain and it is God. He is the one who can be certain to us in the midst of uncertainty. "Have I not commanded you? Be strong and courageous. Do not be afraid; do not be discouraged, for the Lord your God will be with you wherever you go. " -Joshua 1:9 Enrichment: One of the lessons that we discussed in this module is the determination of the sample size. Sample size is the number of individuals needed for research. Why is it important to determine the sample size? Reflection: Accomplish the reflection template below. This week, I learned that: I still want to know: What Why How