LearningCompetencyLearning TasksDay 1Counts the number ofoccurrences of anoutcome in an1.Use the Counting Principle to find thenumber of possible outcomes of thesetwo "experiments" done in this specificorder:experiment: (a) table;(b) tree diagram; (c)fundamental counting Experiment 1: a coin is tossed and theside that is face up is recordedprincipleExperiment 2: a die is rolled and thenumber that is face up is recorded2. Use a "Tree Diagram" to create the"sample space" for this situation.

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Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Sample spaces For each of the following, list the samplespace and tell whether you think the events are equallylikely:a) Roll two dice; record the sum of the numbers.b) A family has 3 children; record each child’s sex inorder of birth. c) Toss four coins; record the number of tails.d) Toss a coin 10 times; record the length of the longestrun of heads.
In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 80% of test subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours. A random sample of 625 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of P. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P(P >0.84), which is the probability that more than 84% of the people in the sample pass the test. Round your answer to four decimal places. 0 X
Rachel Green, a fashion buyer at Ralph Lauren, wanted to know which seasonal clothing line Ralph Lauren customers prefer. She randomly selected 200 Ralph Lauren customers to survey about their seasonal preferences. She asked the following question: "Which seasonal clothing line is your favorite: spring, summer, fall, or winter?" The results were as follows: Spring: 10 Summer: 11 Fall: 149 Winter: 20 Based ONLY on this information (do not try to infer anything else!), answer the following questions. Did sampling bias occur? Why or why not? Did response bias occur? Why or why not? Did nonresponse bias occur? Why or why not?
Sample Space and Event of an Experiment Sample Space Directions: Complete the table below. Experiment 1. tossing a coin 2. rolling a die 3. tossing a coin twice 4. choosing a point from the interval (0, 1) 5. rotating a spinner 6. choosing a card from a deck 7. picking correct answer from a multiple choice question 8. tossing coin twice 9. getting 2 red out of 15 mables 10. getting a grade of 1 in finals Event
Caffeine A student study of the effects of caffeine asked volunteers to take a memory test 2 hours after drink-ing soda. Some drank caffeine-free cola, some drank regular cola (with caffeine), and others drank a mixtureof the two (getting a half-dose of caffeine). Here are the5-number summaries for each group’s scores (number ofitems recalled correctly) on the memory test:a) Describe the W’s for these data.b) Name the variables and classify each as categorical orquantitative.c) Create parallel boxplots to display these results as bestyou can with this information.d) Write a few sentences comparing the performances ofthe three groups.
R3.29. Homecoming A college statistics class conducted a survey concerning community attitudes about the college's large homecoming celebration. That survey drew its sample in the following manner: Telephone numbers were generated at random by selecting one of the local telephone exchanges (first three digits) at random and then generating a random four-digit number to follow the exchange. If a person an- swered the phone and the call was to a residence, then that person was taken to be the subject for interview. (Undergrad- uate students and those under voting age were excluded, as was anyone who could not speak English.) Calls were placed until a sample of 200 eligible respondents had been reached. | a) Did every telephone number that could occur in that community have an equal chance of being generated? b) Did this method of generating telephone numbers result in a Simple Random Sample (SRS) of local residences? Explain. c) Did this method generate an SRS of local voters? Explain.…
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Question 23 Read and solve the problem; choose the best answer from the choices provided. At a college there are 120 freshmen, 90 sophomores, 110 juniors, and 80 seniors. A school administrator selects a simple random sample of 12 of the freshmen, a simple random sample of 9 of the sophomores, a simple random sample of 11 of the juniors, and a simple random sample of 8 of the seniors. She then interviews all the students selected. Your answer: O Systematic random sampling o Convenience sampling Stratified sampling Cluster sampling
a. A random sample of 150 approved mortgage applications is selected from a bank's database. Customers of this bank can choose either variable or interest-only mortgages. These mortgage choices have either a 20-year or 30-year term. The data are displayed i table below. Term Type of Mortgage 20-year Total 30-year 25 Variable 45 Interest Only 40 40 Total Use the table above to answer the questions below. i. If an approved application is selected at random, what is the probability that it is a 30-year term application? ii. If an approved application is randomly selected, what is the probability that the mortgage choice is variable and has a term of 20 years or is interest only and has a term of 20 years?
Mr Alsup asked the studentS in his third-and sixth-period English classes whether they had chosen a topic for thier writing assignment. he recorded the data in a two-way table, as shown below English class Yes No Total Third period 24 6 30 Sixth period 22 3 25 Total 46 9 55 if jannette in in mr alsup sixth-period english class what is the probablity that she has not chosen a topic for her writing assignment? a- 3% b- 5% c- 12% d-14%
Setup: In an experiment to compare different methods of teaching arithmetic, a group of students were randomly divided into three equal-sized groups. Group A was taught by the current method, while the other two groups were taught by one of two new methods. At the end, each student took a standardized test, with the following results: Group A B C Grand Score Y₁. 17 14 24 20 24 23 16 15 14 18.55 19 28 26 26 19 24 24 23 22 23.44 21 14 13 19 15 15 10 18 20 16.11 19.37 (Y₁.-Y..)² 0.664 16.60 10.62 18.03 9.53 13.11 1. What type of design method is used in the analysis? Write down appropriate statistical models for the analysis with necessary assumptions and constraints. 2. Based on the summary statistics, calculate the sum of squares (SSTR, SSE, SSTO), and construct an ANOVA table. State the null and alternative hypotheses. Find the test statistic and calculate its p-value. State your conclusion. 3. Perform a hypothesis test to determine if there is a difference in the group means at a 0.05…
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