SP - LAS 3 - Week 5-8 - Students PDF

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Grade 11 – Statistics and ProbabilitySampling and Sampling Distributions Third Quarter Week 5 to Week 8 Target Competency: Distinguish between a parameter and statisticName: Date: _______________________Grade & Section: Score:Activity 3POPULATION vs SAMPLE PARAMETER vs STATISTICA. Direction: Giv...

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LEARNING ACTIVITY SHEET (LAS) Grade 11 – Statistics and Probability Name:

Date: _______________________

Grade & Section:

Score:

Activity 3 POPULATION vs SAMPLE PARAMETER vs STATISTIC A. Direction: Given the following statements, identify the population and the sample. 1. A survey of 2 815 college students found that 53 % own a personal computer. Population

:

Sample

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2. A recent survey shows that 43% of the 3 145 Grade 10 students in the City of Mandaluyong prefer to enroll in the STEM track in senior high school. Population

:

Sample

:

3. When buying a cavan of rice, the buyer examines only a handful of rice from the cavan of rice to find out whether it is good quality or not. Population

:

Sample

:

4. A quick survey was done to the first 100 participants who arrived at a particular elementary school in Taguig City during the Brigada Eskwela 2019. Population

:

Sample

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5. The average fat content of every 20th hamburger manufactured by a certain fast-food chain is 10.1g. Population

:

Sample

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B. Direction: Determine if the given numerical value is a parameter or a statistic. (Explain) 1. The average hourly rate of 120 virtual assistants out of 200 online personal assistants of a particular company is PHP 200.00.

2. The average GPA of all Athletes in a particular university is 1.63.

Sampling and Sampling Distributions Third Quarter Week 5 to Week 8 Target Competency: Distinguish between a parameter and statistic

LEARNING ACTIVITY SHEET (LAS) Grade 11 – Statistics and Probability SAMPLING TECHNIQUES Direction: Identify the sampling technique used in each given situation. 1. A restaurant gives free pasta for every 10th customer in celebration of their 10th year anniversary. 2. Taguig City is divided into city blocks. The researcher randomly chooses 10 city blocks and interview everyone who lives there. 3. Mr. Umali is deciding which of his 40 students to call for recitation during the class discussion. He assigns each student a number from 101 to 140 and uses his laptop to randomly generate a list of 5 numbers (chosen from 101 to 140). The students corresponding to the 5 selected numbers will be the ones to recite. 4. A study must include a sample of 100 students to be selected from the senior high school population of a chosen school. The researchers plan to take a number of students from every strand of the senior high school to complete the needed number of respondents. 5. A teacher asks his student, who is good in Music, whether he knows someone who has the same skill. 6. A reporter immediately needs to gather opinions about a specific issue so he just decided to conduct an ambush interview on the available passersby. 7. A statistics and probability teacher selects 15 men and 15 women form each of the five classes. 8. An engineer selects every 50th cellphone from the assembly line for careful testing and analysis. 9. Ms. Delos Santos wants to give away 3 movie tickets. In order to avoid bias, she wrote the name of each of her students in a paper and placed it in a hat. TO determine the 3 winners, she picked 3 rolled papers from the hat. 10. A reporter obtains numbered listing of the 1000 companies with the highest stock market, uses a computer to generate 20 random numbers between 1 and 1000, and then interviews the chief executive officers of the companies corresponding to these numbers.

Sampling and Sampling Distributions Third Quarter Week 5 to Week 8 Target Competency: Illustrate random sampling and other sampling techniques

LEARNING ACTIVITY SHEET (LAS) Grade 11 – Statistics and Probability SAMPLING DISTRIBUTIONS OF THE SAMPLING MEANS A. Direction: Consider the given, analyze and solve the following problems: Given: A finite population of numbers has a size N = 4. The population consists of values 12, 14,16 and 18. 1. Determine the mean, standard deviation and variance of the population. 𝝁 : Table 3.1 𝜎𝟐 : Sample Mean 𝜎 : No. Sample  𝐗 2. Complete the information in table 3. 1 by: a. obtaining a random sample of size n = 2 without replacement. Make sure to list all the possible sample sets. b. computing the mean of each sample. 3. Construct the sampling distribution of the sample means. 4. Compute the mean and standard deviation of the sampling distribution of the sample means.

5. Compare the mean, variance and standard deviation of the sampling distribution of the sample means to the mean, variance and standard deviation of the population. What generalization can be made?

B. Direction: Using the generalization formulated from the previous activity, read and answer the following questions. Write your answers and solution in the provided box. (Assume an infinite population) 1. Given with random samples of size n selected from populations with means and variances, find the mean and standard deviation of the sampling distribution of the sample mean in each case: a. n = 9, 𝜇 = 15, 𝜎2 = 4 b. n = 100, 𝜇 = 34, 𝜎2 = 49

Sampling and Sampling Distributions Third Quarter Week 5 to Week 8 Target Competency: Identify and Illustrate sampling distributions of sample means with its mean, variance and standard error. Illustrate and Solve problem involving Central Limit Theorem

LEARNING ACTIVITY SHEET (LAS) Grade 11 – Statistics and Probability 2. The average weight of cats in a particular barangay is 3.9 kg with a standard deviation of 0. 82 kg. If 30 cats are randomly selected, determine the mean, standard deviation and variance of the corresponding sampling distributions of the sample means. 3. The weekly allowance of all the Senior High School students in a particular city has an average of Php 500 with a standard deviation of Php 25. A random sample of 60 students was asked of their weekly allowance. Determine the standard error of the sampling distribution of the mean weekly allowance of Senior High School students in this high city.

CENTRAL LIMIT THEOREM Direction: Solve the following problems. Indicate your answers and solutions in the provided box. 1. Given with an unknown shape of a population, consider the following values: μ = 75, σ = 5 & n = 40. Calculate the probability that the sample mean is less than 74. 2. A city has an average number of 620 public elementary school teachers with a standard deviation of 76. If a random sample of 36 cities are selected, what is the probability that the number of teachers is greater than 600 teachers? 3. The average time it takes a group of Senior High School students to finish in answering a long exam in Statistics and probability is 63 minutes. The standard deviation is 10 minutes. If the random variable is normally distributed, what is the probability that a 45 randomly selected SHS students who take the examination has a mean time of less than 60 minutes to complete the test?

Sampling and Sampling Distributions Third Quarter Week 5 to Week 8 Target Competency: Identify and Illustrate sampling distributions of sample means with its mean, variance and standard error. Illustrate and Solve problem involving Central Limit Theorem

Statistics and Probability Grade 11 Third Quarter Learning Activity Sheet (LAS)...