When the Euro coin was introduced in 2002, two math professors had their statistics students test whether the Belgian one Euro coinwas a fair coin. They spun the coin rather than tossing it and found that out of 250 spins, 160 showed a head (event H) while 90showed a tail (event T). On that basis, they claimed that it is not a fair coin.O Part (a)Based on the given data, find P(H) and P(T). (Round your answers to two decimal places.)P(H) = 0.6P(T) = 0.4O Part (b)Use a tree diagram to find the probabilities of each possible outcome for the experiment of spinning the coin twice. (Round your answers to fourdecimal places.)HH, 0.6400TTTH, 0,2304HTO Part (c)Use the tree diagram to find the probability of obtaining exactly one head in two spins of the coin. (Round your answer to four decimal places.)O Part (d)Use the tree diagram to find the probability of obtaining at least one head. (Round your answer to four decimal places.)Additional MaterialsO Reading

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A team of researchers would like to determine whether the number of households that use the internet for more than an hour a day is greater in large cities or small towns. To do so, the researchers take two random samples. The first sample consists of randomly selected people who live in cities with more than 500,000 people around the country. The second sample consists of randomly selected people who live in towns with fewer than 20,000 people. Are these samples dependent or independent? Select the correct answer below: O These samples are independent. O These samples are dependent. Not enough information is provided to determine independence.
You find a coin in the street and are flipping it while walking away. You happen to look at the outcomes of your coin flips and notice heads is showing up more than you think it should. After 10 flips, the coin has landed on heads 8 of the 10 flips. Deciding you need more data, you flip the coin 25 more times and it lands heads up 18 times. You have now flipped the coin 35 times, 26 of which have landed heads. You are still surprised of these results, so you decide to flip the coin 100 more times and record the data. This time, the coin landed heads up 75 times. Now, you flip your coin 135 times, and it lands heads up 101 times. Are you convinced that the coin you have found is weighted, meaning that it favors one outcome over the other? Why? What is the name of the property of probability shown in the previous example? (continuous probability, discrete probability, law of averages, law of large numbers)
An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 10 6 8 10 6 3 10 3 8 After 6 7 4 4 8 6 4 9 3 7 Copy Data Step 2 of 3:…
would this be a one tail or two tail test?
A researcher takes a sample of 50 individuals and administers a background check to identify the number of prior arrests for each person. For whatever reason, one person is removed from the analysis and another random person is selected to replace that person. Having no additional information, what is your best guess of the number of prior arrests experienced by the replacement person? Why?
A recent report On the evening news stated that things watched an average of 13 hours of TV per week. A teacher that I'm skeptical high school believe that the student in her school actually watch more than 13 hours per week. She randomly selected 25 students from our school and direct him to record the TV watching for one week in a diary. The students record of the following data: 5,5,6,18,23,13,0,28,20,5,23,11,0,25,22,13,24,6,14,20,23,20,11,22,11. Is there enough evidence to support teacher claim ? Quesitons : what is the null hypothesis (Ho) and what is the alternative hypothesis (Ha)? What is the test statistics ? Wrote formula and value 3 times decimal place What is the p value ? what's the conclusion based on the result ?
A recent study investigated whether cell phone users experience separation anxiety when they cannot access their phones. Because blood pressure increases with anxiety, the researchers used systolic blood pressure as an operational measure of anxiety. The experiment involved a random sample of cell phone users that were divided into two groups at random. One group of participants completed a survey while their phones were locked in a cabinet in a separate room and the other group of participants completed the same survey while their phones were nearby. (The survey questions were unrelated to cell phone use.) At the end of the survey, theresearchers measured each participant's systolic blood pressure. The same experiment was conducted in Montreal, Toronto, Vancouver, and St. Zotique. The blood pressure data for all participants needed are below. Use these data to answer the following question: comoute the estimated standard error of d for the data collected in toronto. Please answer to 5…
You are hiking through the woods, and come across some tracks; based on your expe- rience, you estimate there is a 40% chance the tracks are from a dog, a 30% chance the tracks are from a wolf, a 20% chance the tracks are from a coyote, and a 10% chance the tracks are from some other animal. Your friend, also a nature lover, notices some white hairs in the tracks. They know that 20% of dogs have white hair, 50% of wolves have white hair, 10% of coyotes have white hair, and 30% of other animals in the area have white hair. What are the odds of these tracks coming from a dog, wolf, coyote, or other animal?
The statistics department at a large Midwestern university is interested in how students feel about their introductory statistics course. They decide to randomly select 60 introductory stats students to give a survey, 10 from both the freshman and sophomore class ranks and 20 from both the junior and senior class ranks. They discover that of the 60 total respondents, 73% have a positive attitude toward intro stats. The proportion of the 60 introductory statistics students surveyed by the statistics department that did have positive attitudes toward intro stats (73%) is called a O a. population parameter O b. residual O c. correlation coefficient O d. sample statistic 3 Stat100 Practice..pdf 7 Writing Prompt 3.docx E Online Syllabus J...pdf E Bios357Schedul.pdf SH OCT1 étv 20 F3 トI A FI F9 F10 F5 F7 F8 F2 F4 %23 2$ & * 2 4. 5 6 7 8 9 Q W E T Y S F G H K しの
According to a job website, each job opening on average attracted 250 résumés in 2016. The job market improved in 2017 compared to 2016, which means that more people will likely be switching jobs but also fewer unemployed workers remain in the job market. To find out which trend is stronger, a random sample of 20 employers in a region was taken. Each employer reported how many résumés they received in 2017 for each job opening. Their answers are shown in the accompanying table. Using a = 0.05, complete parts a through d. Click the icon to view the data on résumés received. a. State the null and alternative hypotheses. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Ho: H₁: (Type integers or decimals. Do not round.)
Itranscript One male and one female dam rat pup were randomly selected from 8 litters to perform the swim maze. Each pup was placed in the water at one end of the maze and allowed to swim until it escaped at the opposite end. If the pup failed to escape after a certain period of time, it was placed at the beginning of the maze and given another chance. The experiment was repeated until each pup accomplished three successful escapes. The table to the right reports the number of swims required by each pup. Is there sufficient evidence of a difference between the mean number of swims required by male and female pups? Use a=0.01. Comment on the assumptions required for the test to be valid. B. t> Litter 1 2 3 OC. t 10 12 Female 11 [6526675 10
A research study wanted to examine whether religious belief and gender are related in their state. They selected a representative sample of men and women in their State.Select the null and alternative hypothesis of the test: H0: there is no relationship between gender and belief about human originsHa: there is a relationship between gender and belief about human origins H0: there is a relationship between gender and belief about human originsHa: there is no relationship between gender and belief about human origins Results of the study are summarized in this table for the Belief about human origins: religious texts evolutionary theory total male 30 36 66 female 110 89 199 total 140 125 265 The degrees of freedom for the the ?2 statistic are Round the following numbers to two places after the decimal:The test statistic is ?2 = with a p-value = The conclusion of the test at the 5% significance level is There is not enough statistical evidence to suggest that gender…

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