Statistics and Probability STAT 112 Grade 11 Week 1 10 Kuya Piolo 1 PDF

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Statistics and Probability (STAT-112) Grade11 CREATED BY KUYA PIOLO Week 1-10 Wag sana maraming reaklamo dyan bibinigyan kayo ng sagot 2nd attempt perfect kana Tang ina nyo gago bobo Wag kang mag reklamo kung hindi lumabas ang tanong sa oed sa source. Nakalagay naman po yong correct yong po ang sagot WEEK 1 Learning Act. 1 Stats Which of the following statement is TRUE. Select one: a. All of the statements are TRUE. b. Countable number of values are called discrete variables c. Non-countable values are called discrete variables d. Infinite numbers are considered discrete variables. Answer: Countable number of values are called discrete variables Question 2 The speed of cars travelling in the road and the water consumption of household are examples of Select one:

a. Discrete Continuous Random Variable b. Continuous Discrete Random Variable c. Continuous Random Variable d. Discrete Random Variables e. None of the choices Answer: Continuous Random Variable Question 3 True or False: The number of questions that you answer correctly on this quiz is an example of a discrete random variable. Answer: false Question 4 Which of the following is incorrect? Select one: a. Probability distribution equals to one. b. Probability distribution equals to zero. c. Probability distribution is used to compute discrete random variables d. None of the choices e. Probability distribution is used to compute continuous random variables Answer: Probability distribution equals to zero. Question 5 What is the probability distribution of occurring the all heads in a toss of three coins? Select one: a. 0.1255 b. 0.25 c. 1 d. None of the choices e. 0

Answer: 0.1255 Short Quiz 1 Which of the following is CORRECT about Sample Space Select one: a. Sample space is also known as probability mass function. b. Sample space is a subset of events. c. Sample space should be always be a number from zero to one. d. Sample space are possible outcomes Answer: Sample space are possible outcomes The sum of all the probabilities P(X = x) for all possible values of a discrete random variable X must equal to _____ Answer: 1 How many possible outcomes when you simultaneously toss three fair coins. Answer: 8 Salary, scores and age are examples of answer: continuous.. random variables Which one of these variables is a not continuous random variable? Select one: a. The number of attendees in an Information Technology conference. b. The tuition fee enrolled in different universities c. The number of volunteers in a community d. The number of senators elected in the Philippines Answer: The number of senators elected in the Philippines Countless number of values are also known as Answer continuous.. variables. Which of the following random activity would you define as a discrete random variable? Select one: a. Distance travelled of a tourist bus. b. Depth of building excavation. c. None of the choices.

d. Height of students enrolled in an online course. e. Wind speed during typhoon. Answer: None of the choices. The sum of all the probabilities P(X = x) for all possible values of a discrete random variable X must equal 1. Select one: a. The statement is NOT ALWAYS FALSE b. The statement is TRUE. c. The statement is FALSE. d. The statement is NOT ALWAYS TRUE Answer: The statement is TRUE. A continuous random variable assigns a whole number to each possible outcome of an experiment. Select one: a. None of the choices b. The statement has insufficient information. c. True d. False Answer: True This tells what the possible values of X and how probabilities are assigned to these values. Answer: Probability Distribution

Week3 Stats WEEK 3 Learning Activity 3 AND SHORT QUIZ 3 It is the measure of how many standard deviations below or above the population mean. Select one: a. Median b. Z-score

c. Normal Distribution Measurement d. Empirical Rule Feedback The correct answer is: Z-score In an IT Certification Examination, the mean was 75 and the standard deviation was 5. If Pam z-scored is 1.5, what was her score in the examination? Select one: a. 117.50 b. 487.50 c. None of the choices d. 82.50 Feedback The correct answer is: 82.50 Who is the famous mathematician where the normal distribution curve was named after? Select one: a. Carl Friedrich Gauss b. William Gosset c. Ronald Fisher d. John Tukey Feedback Your answer is correct. The correct answer is: Carl Friedrich Gauss Which of the following is not a characteristics of a normal distribution. Select one: a. Mount-shaped distribution b. Bell-shaped c. None of the choices d. Perfectly asymmetric

Feedback The correct answer is: Perfectly asymmetric How many regions can be found at the left side of the normal distribution curve? Select one: a. 3 b. 2 c. 4 d. 1 Feedback The correct answer is: 3 Short Quiz 3 In a normal distribution curve, Select one: a. Mean is equal to Median and Mode b. None of the choices c. Mean is equal to Mode d. Mean is equal to Median Feedback The correct answer is: Mean is equal to Median and Mode It is the measure of how many standard deviations below or above the population mean. Select one: a. Empirical Rule b. Median c. Z-score d. Normal Distribution Measurement Feedback The correct answer is: Z-score Given the set of data:

1, 1, 2, 2, 3, 3, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 Find the lower quartile Select one: a. 8 b. 3,4,5,6,7,8,9,10,11,12, c. 3 d. 0 Feedback The correct answer is: 8 In an IT Certification Examination, the mean was 50 and the standard deviation was 3. If Pam z-scored is 1, what was her score in the examination? Select one: a. 53.00 b. None of the choices c. 80.50 d. 82.50 Feedback The correct answer is: 53.00 Assuming z-score is -1, which of the following statement is TRUE. Select one: a. All values are greater than the mean. b. All values are less than the mean. c. All values are equal to the mean. d. All values are equal to the z-score Feedback The correct answer is: All values are less than the mean. Given the set of data: 1,1, 2, 2, 3, 3, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

Find the upper quartile Select one: a. 13,14,15,14,15,16,17,18,19,20,21,22 b. 18 c. 22 d. 0 Feedback The correct answer is: 18 Find the median of the following data set. 11, 13, 15, 17, 19, 21, 22, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 51, 53, 55, 57, 59 Select one: a. 36.45 b. 24 c. 30 d. 31 Feedback The correct answer is: 31 Given the set of data: 1,1, 2, 2, 3, 3, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 How many numbers are in the lower quartile? Select one: a. 0 b. 10 c. 6 d. 3,4,5,6,7,8,9,10 Feedback The correct answer is: 6 Normal Distribution Curve is also called

Select one: a. Arc-Shaped Curve b. Bell Curve c. Basic Curve d. All of the choices Feedback The correct answer is: Bell Curve In a normal distribution curve, data are divided into 3 equal parts. Select one: a. The statement is TRUE. b. None of the choices c. The statement is FALSE. d. The statement is SOMETIMES TRUE depending on the data set. Feedback The correct answer is: None of the choices Week 5 Stats Learning Activity 4 True or False: Variance Error is the difference between a sample statistic used to estimate a population parameter and the actual but unknown value of the parameter The correct answer is: FALSE True or False: Sampling Error is the degree of error expected for a given sample design The correct answer is: TRUE Identify whether each example describes a random sample. Answer with Yes or No. The correct answer is: No Given the following sample data, compute for the true mean. The answer must have two decimal places. 1112345558888 The correct answer is: 4.53 Given the following mean, compute for the Mean of Means. The answer must have two decimal places.

4.5, 9.2, 9.1, 8.4 The correct answer is: 2.60

Week 5 Stats short quiz 4 Short Quiz 4 Identify whether each example describes a random sample. Answer with Yes or No Renmel closes his eyes, opens a book and randomly points to a word on the page. She repeats the process for 30 times. The correct answer is: No True or False: Mean of means is the sum of all means multiplied by the number of means The correct answer is: FALSE It is a part of population intended to represent a population as a whole. Select one: a. Mode b. Deviation Error c. Parameter d. Standard deviation of the distribution of the sample means e. Random Sample f. Mean g. Sampling Error h. Population Mean i. Median j. Statistics k. Distribution Error l. Sample Distribution of sample means m. Standard Curve

n. Sample o. Standard Deviation p. Sample q. Population The correct answer is: Sample Identify whether each example describes a random sample. Answer with Yes or No Women who volunteer to take a survey on human rights. The correct answer is: No The distribution that describes the spread of the means of multiple samples from the sample population Select one: a. Deviation Error b. Parameter c. Sample d. Standard Deviation e. Distribution Error f. Population g. Random Sample h. Mode i. Sampling Error j. Population Mean k. Mean l. Statistics m. Median n. Standard deviation of the distribution of the sample means o. Sample Distribution of sample means p. Sample q. Standard Curve The correct answer is: Sample Distribution of sample means

Identify whether each example describes a random sample. Answer with Yes or No. Each audience in a game show is assigned a number from 111 to 666 and roll three standard dice to choose random contestants. The correct answer is: Yes If the standard deviation of a population is 300, and samples of 25 units each are taken, what is the Standard deviation of the distribution of the sample means? The correct answer is: 60 Given the following sample data, compute for the true mean. The answer should be rounded off to one decimal place. 3 5 5 5 6 6 8 8 13 15 17 30 The correct answer is: 10.8 True or False: People whose names were drawn out of the survey is an example of a random sample The correct answer is: TRUE True or False: As the sample size increases, the standard error increases. The correct answer is: FALSE Learning Activity 6 Stats To calculate the mean from a sample, Select one: a. Get the half of the sum of the all the values b. Add all the values and divided by the total number of samples c. Divide each value with the sum of all values d. None of the choices The correct answer is: Add all the values and divided by the total number of samples Compute for the point estimate of the population parameter. Round off your answer to the nearest hundredths or has two decimal places. Write the measurement at the end of the answer. Average Speed of a car Car 1 Car 2 Car 3 Car 4 80 kph 75 kph 60 kph 66 kph The correct answer is: 7 0 . 2 5 k p h This is defined by two values, between which a population parameter is said to lie. Select one:

a. Interval Estimate b. Points Estimate c. Coefficient Estimate d. Point to point Estimate The correct answer is: Interval Estimate Compute for the point estimate of the population parameter. Round off your answer to the nearest hundredths or has two decimal places, if necessary. Scores of students in quizzes The correct answer is: 77.70 Compute for the point estimate of the population parameter of the grades of students. (Round off your answer to the nearest hundredths.) The correct answer is: 85.75 Point estimate is Select one: a. none of the choices b. always equal to the mean c. used to estimate population parameter Correct d. the number of samples e. a range of possible values of population mean Feedback The correct answer is: used to estimate population parameter A single value given as an estimate of a parameter of a population. Select one: a. Sample distribution Incorrect b. Confidence Limit c. Confidence coefficient d. Sample Mean Feedback

The correct answer is: Sample Mean

Short Quiz 6 Stats Confidence interval is associated by confidence level Select one: a. TRUE b. FALSE The correct answer is: TRUE The effectiveness of the sample android application can be measured by the proportion of mobile users who install the application. To determine this proportion for a specific android app, the distributed to 500 users and 450 user install the app. The point estimate is ____________. Select one: a. .85 b. .80 c. .90 d. .95 The correct answer is: .90 Which measure of tendency is the best estimator? Select one: a. Mode b. Mean c. Standard Deviation d. Median The correct answer is: Mean Confidence level indicates the level of assurance that confidence interval encloses the:

Select one: a. unknown population mean b. biased sample c. known population mean d. unbiased sample The correct answer is: unknown population mean Which of the following applies to confidence interval Select one: a. Confidence interval is used to the true mean of population b. As the confidence interval for a given statistic increases in length, the confidence level increases c. Confidence interval is associated by confidence level d. None of the choices e. All of the choices The correct answer is: All of the choices A 95% confidence interval means 95% of all samples of size n would fall ______ our confidence interval Select one: a. Below b. Outside c. None of the choices d. Within e. Above Feedback The correct answer is: Within You need to calculate for the confidence interval for the population mean. The population standard deviation is known. There are 50 sample observations. You will use 95 percent level of confidence. The appropriate value of z is: Select one: a. Cannot be determined

b. 1.64 c. 2.58 d. 1.96 e. 1 The correct answer is: 1.96 Point estimate is always equal to the sampling coefficient. Select one: a. FALSE. Change the statement to “Point estimate is equal to the number of samples” b. FALSE. Change the statement to “Point estimate is used to estimate population parameter” c. TRUE d. FALSE. Change the statement to “Point estimate is a range of possible values of population mean” The correct answer is: FALSE. Change the statement to “Point estimate is a range of possible values of population mean” Confidence coefficient is a single value given as an estimate of a parameter of a population. Select one: a. TRUE b. FALSE. Change “confidence coefficient” to confidence limit c. FALSE. Change “confidence coefficient” to sample mean d. FALSE. Change “confidence coefficient” to Confidence Limit The correct answer is: FALSE. Change “confidence coefficient” to sample mean The confidence level is expressed as a fraction Select one: a. FALSE The correct answer is: FALSE Short Quiz 8 The “p hat” is calculated as Select one: a. Number of desired elements over the number of desired outcomes

b. Number of desired outcomes over the number of desired elements Correct c. 1- (Number of desired elements over the number of desired outcomes) d. (Number of desired outcomes over the number of desired elements) – 1 Feedback The correct answer is: Number of desired outcomes over the number of desired elements Sampling distribution of proportions is ______________ distributed Select one: a. Normally Correct b. Randomly c. Evenly d. Unevenly Feedback The correct answer is: Normally A survey was conducted to 300 Grade 10 students who have Internet access to determine who access social media websites after attending classes. Based on the survey, 250 students responded Yes. What is the population proportion to students who do not access social media after attending classes? Select one: a. 80% b. 20% c. 17% Correct d. 83% Feedback The correct answer is: 17% When the confidence level is 95%, the ____________________ are +- 1.96 Select one: a. Margin of Errors b. Confidence coefficients Correct c. Confidence intervals

d. “p hat” values Feedback The correct answer is: Confidence coefficients Point estimate is Select one: a. Always equal to the number or samples b. A range of possible values for a population parameter. c. Equal to the population mean d. A statistical that estimates a population parameter Correct Feedback The correct answer is: A statistical that estimates a population parameter The ^p is the ____________ estimate of p. Select one: a. balanced b. unbiased Correct c. biased d. inverse Given n=10, x¯ =28, s=2.0, 95% confidence. Assuming that the samples come from a normal distribution, find the margin of error. Select one: a. 1.24 Correct b. 26.76 c. 3.16 d. 0.63 Feedback The correct answer is: 1.24 Given n=10, x¯ =28, s=2.0, 99% confidence. Assuming that the samples come from a normal distribution, find the interval estimate of the population mean.

Select one: a. (11.34, 14.89) b. (1.63, 2.25) c. (21.36, 24.63) d. (26.36, 29.63) Correct Feedback The correct answer is: (26.36, 29.63) What is in the center of the confidence interval? Select one: a. Margin of Error b. Point Estimate Correct c. Population Parameter d. Number of samples Feedback The correct answer is: Point Estimate In a survey of 500 individuals, 300 likes to eat dinner in a restaurant. Estimate the sample proportion ^p of those who like to eat dinner in a restaurant based on the sample. Select one: a. 45% b. 0.40 c. 55% d. 0.60 Correct Feedback The correct answer is: 0.60

Learning Activity 8 Stats

Margin of error is Select one: a. the product of confidence coefficient and standard deviation divided by the square root of the sample size Correct b. the quotient of confidence coefficient and standard deviation multiplied by the square root of the sample size c. the product of confidence coefficient and square root of the sample size divided by standard deviation d. the quotient of confidence coefficient and square root of the sample size divided standard deviation Feedback The correct answer is: the product of confidence coefficient and standard deviation divided by the square root of the sample size Given n=100, x¯ =45, s=2.0, 90% confidence. Assuming that the samples come from a normal distribution, find the interval estimate of the population mean. Select one: a. (42.103, 43.970) b. (43.355, 46.645) c. (44.461, 45.329) Incorrect d. (46.921, 47.727) Feedback The correct answer is: (43.355, 46.645) Given n=100, x¯ =80, s=2.0, 95% confidence. Assuming that the samples come from a normal distribution, find the margin of error. Select one: a. 0.348 Incorrect b. 0.20 c. 0.392 d. 0.196 Feedback The correct answer is: 0.392

A survey was conducted from the 250 individuals. Based on the result of the survey, 170 are satisfied with the current Local Government administration. Estimate the sample proportion ^p of those who are not satisfied based on the sample provided. Select one: a. 55% b. 0.32 Correct c. 0. d. 0.68 Feedback The correct answer is: 0.32 A survey was conducted to 110 college students to determine who are using the Library Resource Center of the university. Based on the survey, only 30% responded Yes. Based on the survey, how many students are not using the Library Resource Center? Select one: a. 33 b. 30 c. 67 Correct d. 70 Feedback The correct answer is: 67 Learning Activity 9 Stats A survey of 200 people finds that they work on average of 8 hours a day. If the margin of error at 98% confidence level is 1.2 hours. How do you compute for the lower confidence interval? Select one: a. 8 hours less 1.2 hours b. Z score plus less the square root of 8 hours less 1.2 hours Correct c. None of the choices d. 8 hours less 1.2 hours multiplied by the z score at 98% confidence level Feedback The correct answer is: Z score plus less the square root of 8 hours less 1.2 hours

King Lo Electronics claims that the new brand of computer will last for 25,000 hours. A research company conducted a test on the information. The company randomly select and test 100 cellular phone. The data from the sample shows that the mean life of the cellular phone is 20,000 hours, with a standard deviation of 1000 hours. Determine the 95% confidence interval of the mean life of the cellular phone. Select one: a. (17,482, 18,649) b. (19,804, 20,196) Correct c. (23,467, 24,639) d. (26,928, 27,375) Feedback The correct answer is: (19,804, 20,196) Given the sample size (n=400) and sample proportion (p=0.56), find the approximate margin of error f...