Find the answer to the word problems and answer problems regarding sampling distribution. PLEASE HELP ME:(

Defining the sampling Lesson Distribution of the Sample 7 Mean using the Central Limit Theorem What's More Activity. Solve and Describe The scores of individual students on a national achievement test have a normal distribution with mean 20.8 and a standard deviation of 1.9. At Feliciano Delos Santos High School, 84 students took the test. If the scores of the students at this school have the same distribution as the national scores, how will you describe the sampling distribution of the scores of these students? Assume that the population is infinite. Step 1. Identify the given information. Step 2. Determine the mean of the sampling distribution. Use the property that HX = H Step 3. Solve the standard deviation of the sampling distribution. Use the property that Ox = in 16Step 4. Solve the problem Solution: Illustration: Step 5. State the final answer. a. If a random sample of 20 senior high school students is selected, what is the probability that the average rating is less than 80 %? Step 1. Identify the given information Step 2. Identify what is ask 19Lesson Problems Involving Sampling 8 Distribution of the Sample Mean What's In Activity 1. A. Recalling the z-score. A national achievement test was given to a group of graduating senior high school students. The result shows a mean score of 92 and a standard deviation of 8. 1. Determine the standard scores of the scores 115, 100, 95, 90 and 75. 2. Write the standard scores on the table below. Scores Standard Score 115 100 95 90 75 B. Illustrating and Finding Areas Under a Normal Curve. Given the following conditions, Illustrate and find the areas under a normal curve. Illustration Area Conditions IT: HC. 5 Between z= 0.5 and z=2.0 Between z= -0.5 and z=0.5 Between z= 0.5 and z=1.5 17SAMPLING DISTRIBUTION OF Lesson THE SAMPLE MEANS FROM 5 AN INFINITE POPULATION What Can I Do Activity ( Describe Me) The heights of OSHS male students in your school are normally distributed with a mean of 156 cm and standard deviation of 10 cm. Describe the sampling destribution of 20 students who are randomly drawn from this population. Solutions: Steps Solutions 1 . 2. An 3. 2 . 4. 3 . Conclusion: 14Lesson THE CENTRAL LIMIT 6 THEOREM What's New Activity 1. ( Do It Yourself ) Get a die. Roll it 50 times. Record the result of your experiment in a table. The first table is for rolling a die once in 50 times, the second table is for rolling a die twice in 50 times, and the 3'd table is for rolling a die thrice in 50 times.Show the result of your experiment to your teacher. 1 st roll 2nd roll 3rd roll Mean 1 st roll 2nd roll mean 1 st roll 2 1 2 3 2 3 3 4 5 4 5 6 5 6 7 7 8 8 9 8 10 9 9 10 10 50 50 50 On a separate sheet of paper, 1. Make a histogram of the distribution of rolling a die once in 50 times. What can you say about the resulting histogram? Answer: 2. Make a histogram of the means of rolling a die twice in 50 times and rolling a die thrice in 50 times. Answer: 3. What can you say about the three histograms? Draw out a conclusion out of the three histograms. Answer: 15remsigo To the left of z=1.0 To the right of z=0.5 What's More Activity 3. Do It Yourself Solve the following problems: 1. The average rating of a public senior high school students in a certain division of region X is 85% with a standard deviation of 3. a. If a sudent is selected, what is the probability that his average rating is greater than 80 %? Step 1. Identify the given information Step 2. Identify what is ask Step 3. Identify the formula to be used. Formula to be used to standardize 80 would be 18Step 3. Identify the formula to be used. When dealing with an individual data obtained from the population, the formula to be used to standardize 80 would be Step 4. Solve the problem Solution: Illustration: Step 5. State the final answer. 20