YOU WERE LOOKING FOR: Chapter 10 Probability Test Answers
Your textbook references three different methods for testing hypotheses: the classical approach P-values confidence intervals Because P-values are so much more widely used, we will be focusing on this method. You will be required to include P-values...
The Sample Proportion In Section 8. Well, suppose we take a sample of online students, and find that 74 of them are part-time. You might recall that based on data from elgin. How do we know - we need the distribution of! So what we do is create a...
Two dice are thrown at the same time. Find the probability of getting different numbers on both the dice. Find the probability of getting same number on both the dice. A pair of dice is thrown once. Find the probability of getting an odd number on each the. A lot consists of 48 mobile phones of which 42 are good, 3 have only minor or defects and 3 have Or defects. Varnika will buy a phone if it is good but the trader will only buy a mobile if it has no major defect.
One phone is selected at random from the lot. What is the probability that it is: i acceptable to. Find the probability that a number selected at random from the numbers 1, 2, 3,
Two events are independent events when the occurrence of one event does not affect the occurrence of the other event. Two events are dependent events when the occurrence of one event does affect the occurrence of the other event. Determine whether the events are independent or dependent. Explain your reasoning. Two six-sided dice are rolled. Six pieces of paper, numbered 1 through 6, are in a bag. Two pieces of paper are selected one at a time without replacement. In Exploration 1 a , experimentally estimate the probability that the sum of the two numbers rolled is 7. Describe your experiment. In Exploration 1 b , experimentally estimate the probability that the sum of the two numbers selected is 7. In Exploration 1 a , find the theoretical probability that the sum of the two numbers rolled is 7.
Then compare your answer with the experimental probability you found in Exploration 2 a. In Exploration 1 b , find the theoretical probability that the sum of the two numbers selected is 7. Then compare your answer with the experimental probability you found in Exploration 2 b. Compare the probabilities you obtained in parts a and b. Communicate Your Answer How can you determine whether two events are independent or dependent? Answer: Determine whether the events are independent or dependent. You roll a 4 on a six-sided die and spin red on a spinner. Your teacher chooses a student to lead a group, chooses another student to lead a second group, and chooses a third student to lead a third group.
Answer: Monitoring Progress Question 1. In Example 1, determine whether guessing Question 1 incorrectly and guessing Question 2 correctly are independent events. Answer: Question 2. In Example 2, determine whether randomly selecting a girl first and randomly selecting a boy second are independent events. Answer: Question 3. In Example 3, what is the probability that you spin an even number and then an odd number? Answer: Question 5. In Example 5, what is the probability that none of the cards drawn are hearts when a you replace each card, and b you do not replace each card? Compare the probabilities. Answer: Question 6. What is the probability that a customer who orders coffee also orders a bagel?
Answer: Independent and Dependent Events Explain the difference between dependent events and independent events, and give an example of each. Monitoring Progress and Modeling with Mathematics In Exercises 3—6, tell whether the events are independent or dependent. Question 3. A box of granola bars contains an assortment of flavors. You randomly choose a granola bar and eat it. Then you randomly choose another bar. Event A: You choose a coconut almond bar first. Event B: You choose a cranberry almond bar second. Answer: You roll a six-sided die and flip a coin. Event A: You get a 4 when rolling the die. Event B: You get tails when flipping the coin.
Answer: The two event that considered in this experiment are on example of independent events. The occurrence of the four in the throwing of the die does not influence the out come of Tails in tossing of the coin. The Two events that considered in this experiment are Independent Events. Question 5. Your MP3 player contains hip-hop and rock songs. You randomly choose a song. Then you randomly choose another song without repeating song choices. Event A: You choose a hip-hop song first. Event B: You choose a rock song second. There are 22 novels of various genres on a shelf. You randomly choose a novel and put it back.
Then you randomly choose another novel. Event A: You choose a mystery novel. Event B: You choose a science fiction novel. Answer: Probability of event B is not affected by probability of event A. The 1st book chosen is put back so the second book picked has the same probability of being chosen As if the 1st book was never chosen to begin with. The Events are Independent. In Exercises 7—10, determine whether the events are independent. Question 7. You play a game that involves spinning a wheel. Each section of the wheel shown has the same area. Use a sample space to determine whether randomly spinning blue and then green are independent events. Answer: Question 8. You have one red apple and three green apples in a bowl.
You randomly select one apple to eat now and another apple for your lunch. Use a sample space to determine whether randomly selecting a green apple first and randomly selecting a green apple second are independent events. Answer: Question 9. A student is taking a multiple-choice test where each question has four choices. The student randomly guesses the answers to the five-question test. Use a sample space to determine whether guessing Question 1 correctly and Question 2 correctly are independent events.
Answer: Question A vase contains four white roses and one red rose. You randomly select two roses to take home. Use a sample space to determine whether randomly selecting a white rose first and randomly selecting a white rose second are independent events. You spin the wheel twice. There are 25 pieces of paper numbered from 1 to 25 in the hat. Each number is replaced after it is drawn. Find the probability that you will draw the 3 on your first draw and a number greater than 10 on your second draw. You randomly choose 1 sock and do not replace it. Then you randomly choose another sock. Find the probability that both events A and B will occur.
Practice Test 3 8. You draw a sample of size 30 from a normally distributed population with a standard deviation of four. What is the standard error of the sample mean in this scenario, rounded to two decimal places? What is the distribution of the sample mean? Round to two decimal places 7. Suppose the sample size in this study had been 50, rather than Round your answer to two decimal places. Comparing graphs of the standard normal distribution z-distribution and a t-distribution with 15 degrees of freedom df , how do they differ? Comparing graphs of the standard normal distribution z-distribution and a t-distribution with 15 degrees of freedom df , how are they similar? Use the following information to answer the next five exercises. Body temperature is known to be distributed normally among healthy adults. Because you do not know the population standard deviation, you use the t-distribution to study body temperature. You collect data from a random sample of 20 healthy adults and find that your sample temperatures have a mean of What is the degrees of freedom df for this study?
Round to two decimal places. Suppose your sample size had been 30 rather than Round to two decimal places 8. You conduct a poll of randomly selected city residents, asking them if they own an automobile. Find the sample proportion and sample standard deviation for this data. Round to four decimal places. Use the following information to answer the next three exercises. You are planning to conduct a poll of community members age 65 and older, to determine how many own mobile phones.
Use an estimated population proportion of 0. What sample size do you need? Suppose you knew from prior research that the population proportion was 0. What sample size would you need? Assume the population proportion is 0. In your state, 58 percent of registered voters in a community are registered as Republicans. You want to conduct a study to see if this also holds up in your community. State the null and alternative hypotheses to test this. You believe that at least 58 percent of registered voters in a community are registered as Republicans. You believe that the mean household value in a particular neighborhood is lower than the city average.
Write the null and alternative hypotheses to test this. If you reject H0 when H0 is correct, what type of error is this? If you fail to reject H0 when H0 is false, what type of error is this? What is the relationship between the Type II error and the power of a test? A new blood test is being developed to screen patients for cancer. Positive results are followed up by a more accurate and expensive test. It is assumed that the patient does not have cancer. Describe the null hypothesis, the Type I and Type II errors for this situation, and explain which type of error is more serious. The null hypothesis is that the patient does not have TB. Explain in words what it means that a screening test for TB has a power of 0. If you are conducting a hypothesis test of a single population mean, and you do not know the population variance, what test will you use if the sample size is 10 and the population is normal?
If you are conducting a hypothesis test of a single population mean, and you know the population variance, what test will you use? If you are conducting a hypothesis test of a single population proportion, with np and nq greater than or equal to five, what test will you use, and with what parameters? Published information indicates that, on average, college students spend less than 20 hours studying per week. You draw a sample of 25 students from your college, and find the sample mean to be What distribution will you use to test whether study habits at your college are the same as the national average, and why?
A published study says that 95 percent of American children are vaccinated against measles, with a standard deviation of 1. You draw a sample of children from your community and check their vaccination records, to see if the vaccination rate in your community is the same as the national average. What distribution will you use for this test, and why? If you get a result with a p-value of 0. You believe children with a particular disease are smaller than average, so you draw a sample of 20 children with this disease and find a mean height of What are the null and alternative hypotheses for this study?
What distribution will you use to test your hypothesis, and why? What is the test statistic and the p-value? Based on your sample results, what is your decision? Suppose the mean for your sample was Redo the calculations and describe what your decision would be. What is the level of significance for this study? Nationally, 80 percent of adults own an automobile. You are interested in whether the same proportion in your community own cars. You draw a sample of and find that 75 percent own cars. What test will you use, and why? You conduct a poll of political opinions, interviewing both members of 50 married couples. Are the groups in this study independent or matched? You are testing a new drug to treat insomnia. You randomly assign 80 volunteer subjects to either the experimental new drug or control standard treatment conditions.
You are investigating the effectiveness of a new math textbook for high school students. Use the following information to answer the next two exercises. You are conducting a study of the difference in time at two colleges for undergraduate degree completion. At College A, students take an average of 4. The pooled standard deviation for this data is 1. Suppose the mean time to earn an undergraduate degree at College A was 5.
Calculate the effect size and interpret it. You conduct an independent-samples t-test with sample size ten in each of two groups. College students in the sciences often complain that they must spend more on textbooks each semester than students in the humanities. To test this, you draw random samples of 50 science and 50 humanities students from your college, and record how much each spent last semester on textbooks. Consider the science students to be group one, and the humanities students to be group two. What is the random variable for this study? Use an alpha level of 0. What is your conclusion? You want to know if proportion of homes with cable television service differs between Community A and Community B. To test this, you draw a random sample of for each and record whether they have cable service. What are the null and alternative hypotheses for this study If 65 households in Community A have cable service, and 78 households in community B, what is the pooled proportion?
Grade 7 - Course 2 Welcome to our class blog! Please take a few moments and check out its features. Although the posts will change from day to day, you should find the links along the right side to be very useful. Besides the textbook online, I have included an online homework solver - that's right, a website devoted to helping you solve your homework - use it, learn from it, but be ready to do it on your own by the time you see it on the test. Friday, June 10, Chapter 10 Test Please read all of these directions before continuing on: Today, you will need to log into your stu. This is an open notes, closed-mouth test. Please have your notes out and open, so that they may be used during the test.
You may not ask your partner for help, nor may you go to any other websites or even other webpages until you are done with your test. Only your own notes and knowledge of this chapter may be used to answer the questions today. To log into the test your username is your school ID followed by stu.
Discuss terminology. This chapter has many words that can be confusing for learners. This chapter provides good opportunity for experiments and activities in classroom. It is very important to define the events: fair dice, full deck of cards etc. Outcome: a single observation of an uncertain or random process called an experiment. For example, when you accidentally drop a book, it might fall on its cover, on its back or on its side. Each of these options is a possible outcome. Sample space of an experiment: the set of all possible outcomes of the experiment. For a given experiment, there is exactly one sample space. Event: a set of outcomes of an experiment. When all possible outcomes of an experiment have equal chance of occurring, the probability of an event is the number of outcomes in the event set as a fraction of the number of outcomes in the sample space. Relative frequency of an event: the number of times that the event occurs during experimental trials, divided by the total number of trials conducted.
Union of events: the set of all outcomes that occur in at least one of the events. Intersection of events: the set of all outcomes that occur in all of the events. Mutually exclusive events can never occur simultaneously. For example the event that a number is even and the event that the same number is odd are mutually exclusive, since a number can never be both even and odd.
Complementary events: two mutually exclusive events that together contain all the outcomes in the sample space. Video: M Worked example 1: Events You take all the hearts from a deck of cards. You then select a random card from the set of hearts. What is the sample space? What is the probability of each of the following events? The card is the ace of hearts. The card has a prime number on it. The card has a letter of the alphabet on it. Write down the sample space Since we are considering only one suit from the deck of cards the hearts , we need to write down only the letters and numbers on the cards.
The method for regression analysis line is not robust. It is seriously affected by a small departure from a normal distribution. This is the correct answer. There is a requirement that any population has a normal distribution. There is no requirement that the sample pairs of data have a bivariate normal distribution. An alternative hypothesis for the rank correlation test is that there is a correlation between the two variables. The paired data are a simple random sample. The method of rank correlation is more efficient than the method of linear correlation.
Rank correlation can be used to detect some relationships that are not linear. The nonparametric method of rank correlation can be used in a wider variety of circumstances than the parametric method of linear correlation. The sample data consist of frequency counts for each of the different categories. The data have been randomly selected. Expected frequencies need not be whole numbers. The null hypothesis is that the different populations have the same proportions of some characteristics. Samples are drawn from different populations and we wish to determine whether these populations have the same proportions of the characteristics being considered. The sample data are randomly selected.
Probability and Punnett Squares. Addition Worksheet A :. So, median. This page includes Statistics worksheets including collecting and organizing data, measures of central tendency mean, median, mode and range and probability. The Rutherford model of the atom was incomplete because it didnt explain how the atoms negatively charged electrons were distributed in the space surrounding the positively charged nucleus. Registered to Fitzalan High School. Geometric Probability — Area Problems Worksheet Just click the blue text links to open the document containing the worksheet.
What is the probability of producing a wolf with a black coat with brown eyes? Possible genotype s? Answer sheet templates can be created in excel, word or PDF formats. Some of the worksheets for this concept are Probability of compound events, Probability and compound events examples, Probability of compound events, Probability work 6 compound, Name period work 12 8 compound probability, Probability compound events 1, Algebra 2 name date, Common core state standards cc Locate the probability of each event described. Unfortunately bank loans must …. This worksheet is a supplementary first grade resource to help teachers, parents and children at home and in school. The worksheet provides step-by-step instructions to find the answer using a graph. Worksheets are Name date work probability more difficult, Probability, Work finding the probability of an event ii, Probability, Probability experiment symbol spinner, Probability and statistics with, Roll the dice work.
Some of the worksheets for this concept are practice test answer and alignment document mathematics, unit 1 real number system homework, scatter plots, a unit plan on probability statistics, unit a homework helper answer key, n08a01 writing and comparing numbers in scientific notation. The probability of getting a number greater than 2 on throwing a die once is. Be sure to try the interactive probability activities, too!
Worksheets to Supplement our Lessons. Deck of cards worksheet - 1. These printable math worksheets will help students learn about probability of random events. Our all-new Probability Vocabulary Puzzles are a great way to hone students' math vocabulary skills. This worksheets was uploaded at February 04, by admin in Worksheets. The jar contains 20 balls. Here is a very basic worksheet for beginners on weather with nice clear images for each weather vocabulary word which will aid comprehension. How to find the answers to any worksheet — popular memes on the site ifunny.
HW Answer these questions. Once you have determined the probability of your event, map it out on a probability line with 0 being "impossible" and 10 being "certain". Using Probability. Find the z-scores corresponding to each of the following values: A score that is 20 points above the mean. State banking officials claim that the probability that a person in Newberg has a checking account is 0.
No comments:
Post a Comment