can you please help me with this? thanks in advance
Activity 1 1. If a population has a mean of 12.8, what is the mean of the sampling distribution? A. Less than 12.8 C. closer to 12.8 B. Larger than 12.8 D. Exactly the same as 12.8 2. If the mean of the sampling distribution of the means is 6.5, which of the following best describes the population mean? A. The population is greater than 6.5 B. The population decreases by 6.5 C. The population mean is also equal to 6.5. D. The population mean and mean of the sampling distribution of the means cannot be compared 3. Which of the following statements is NOT true about Central Limit Theorem? A. The population mean and the mean of the sampling distribution of the means are equal. B. If you take repeatedly independent random samples of size n from any population, then when n is large, the distribution of the sample means will approach a normal distribution. C. The central limit theorem tells us exactly what the shape of the distribution of the means will be when we draw repeated samples from a given population. D. The mean of the sampling distributions of the means, standard deviation of the sampling distribution of the means and variance is the same as the population mean, variance of the population and standard deviation. 4. Consider the population consisting of values (2, 4, 6). List all the possible samples of size 2 which can be drawn with replacement. A. {(2,2).(2.4).(2,6),(4,2),(4.4),(4,6).(6,2).(6.4).(6.6)) B. {(2.2).(2.4).(2,6) (4,2).(4.4).(4,5)) C. ((4,2).(4.4).(4,6),(6,2),(6,4).(6,6) D. (2.4,6) 5. If the population has a variance of 4.6, what is the variance of the sampling distribution of its means if the sampling distribution was derived with sample size n = 2 and all possible samples are drawn with replacements? D. 2.3 A. 19.22 B. 21.16 C. 10,58 Activity 2 For numbers 1 and 2, refer to the problem below. Use the Table of Areas under the Normal Curve also known as z - Table for the probabilities. The IQ of 300 students in a certain school in Quezon Province is approximately normally distributed with # = 100 and o = 15. 1. What is the probability that a randomly selected student will have an IQ of 115 and above? A. 20.87% B. 15.87% C. 10.87% D. 5.87% 2. How many students have an IQ from 85 to 120? A. 200 B. 210 C. 215 D. 225 For numbers 3 and 4, refer to the problem below. 3. If a single egg is selected, what is the probability that the cholesterol content will be more than 220 milligrams? D. 0. 1258 A. 0.3707 B. 0.8523 C. 0.4562 4. If a sample of 25 eggs is selected, what is the probability that the mean of the sample will be larger than 220 milligrams? D. 0.1556 A. 0.1932 B. 0.2241 C. 0.0475 5. Two out of five adult smokers acquired the habit by age 14. If 400 smokers are randomly selected, find the probability that 170 or more acquired the habit by age 14. A. 0.8907 B. 0.166 C. 0.4156 D. 0.287 Directions: Read the following questions carefully and choose the letter of your answer. Use the t-table as needed. Use a separate sheet of paper. 1. t- distribution is a probability distribution used to estimate parameters EXCEPT when: a. the population standard deviation is known b. the sample size is small c. the population variance is unknown d. the sample size is small and population variance is unknown 2. t- distribution is also known as: a. Teacher's t- distribution b. Z- distribution c. Student's t- distribution d. Teacher's Z- distribution 3. Given a set of data, which of the following refers to the independent observations? a. Variance c. standard error b. Degrees of freedom d. standard deviation For numbers 4 and 5, refer to the table below. Which of the following is the value of tops with a sample size of 10? a. 1.812 b. 1.900 C. 1.860 d. 1.833 5. Which of the following is the value of too with 11 degrees of freedom? a. 2.764 b. 2.681 C. 2.821 d. 2.718
