Activity 8 - Ano Variance? Instruction: Read and analyze the following situations. Determine whether the following statements have a known (or can be computed) or unknown population variance. Write your answer on the space provided. Also, identify the formula to be used for the standard error of the mean by writing . when the population variance is known and $, when the population variance is unknown. Situation Answer Standard Error Formula 1. A population has a mean of 85 and a standard deviation of 6. A random sample of 22 measurements is drawn from this population. 2. The weights of female SHS students are normally distributed with a mean of 45kg. Twenty samples consisting of 10 students are drawn from the population and found to have a mean of 46 kg and a standard deviation of 1.24kg.What's More Activity 10 - My Favorite Breed! Read the statement carefully and answer the questions. Use separate sheet's of paper for your answers. My Favorite Breed! A veterinarian studies a large population of one breed of dogs which is shih tzu. The shih tzu's mean length is 50 inches with standard deviation 26 inches. If a sample of 169 shih tzu are randomly selected, what is the chance that the sample mean is: a. less than 49 inches? b. at least 47 inches? c. between 46 and 48 inches? d. Describe your favorite pet. State at least 3 characteristics your pet possesses.What's More Activity 9 - You Complete Me A. Choose from the pool of words/mathematical formulas inside the box to complete the following paragraph on the important properties of the Sampling Distribution of the Sample Mean. Then write the corresponding words below each term to complete the sentence. Recall on the Properties of the Sampling Distribution of Sample Mean If all possible sample size n are drawn from a population of size N with mean u and (1) 02, then the sampling distribution of the sample mean has the following properties: First, the (2) of the sampling distribution of the (3) _15 (4). to the ()). M. That is, ux = . Second, the variance of the sampling distribution of the sample mean oX 2 is given by: 0 2 _ z for (6) and @ 2 N-n for (7) The (8) N-1 of the sampling distribution of the sample mean is given by ox = _ * vn N-1 IN-" for finite population (sampling without replacement) v-is the finite population correction factor and (9) for infinite population N-1 (sampling with replacement). Mean Infinite Population Population Mean US WITH LORD Equal Standard Deviation Variance THE AND LET Sample Mean Finite Population SERVE JOY GLADNESS DECODE: Answer: (1) (2) (3) ( 4) (5) (6) (7) (8 ) (9) B. Read and answer the following questions independently. Show your solution if necessary. 1. If the population of ABM students of Malaya Integrated High School has a mean of 12.45, what is the mean of the sampling distribution of its mean? 2. If the mean of the sampling distribution is 24.29, what is the mean of the population? 3. If a population of HUMSS students of Makabayan National High School has a variance of 6.4, what is the variance of the sampling distribution of the sample mean if the sample size is 4 and all the possible samples are drawn with replacements? 4. If the population of STEM students of Siveysiya Stand Alone Senior High School has a standard deviation of 9.4, what is the standard deviation of the sampling distribution of its means? The sampling distribution was derived with sample size n=3, and all the possible samples were drawn with replacements. 5. If the population standard deviation is 5.6, what is the population variance