A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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- In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 319 trials, the touch therapists were correct 148 times. Complete parts (a) through (d). a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? 0.50 (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? 0.464 (Round to three decimal places as needed.) c. Using Emily's sample results, construct a 95% confidence interval estimate of the proportion of correct responses made by touch therapists.arrow_forwardClassify the experiments according to their experimental designs. Some designs may be used more than once.arrow_forwardUse the following blurb fill-in the blanks: A developmental psychologist conducts a research study comparing height on a sample of 50 kindergartners. The psychologist is interested in how nutritious breakfast and sugary breakfast plays a role in growth. Each kindergartner was randomly assigned to one of two groups. In one group, the child was provided with a well-balanced breakfast including yogurt, fruit and oats, while the second group of children were provided with sugary cereals, muffins, and juice. The independent variable is ______________________ This is a (true or quasi) independent variable ____________________ This independent variable has __________ levels The dependent variable is ___________________ If the researcher used a graph to show the obtained relationship between the independent variable and dependent variable, what kind of graph would be appropriate? __________________________________________arrow_forwardIn a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 340 trials, the touch therapists were correct 162 times. Complete parts (a) through (d). a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? 0.5 (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? 0.476 (Round to three decimal places as needed.) c. Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.…arrow_forwardIn a science fair project. Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 329 trials, the touch therapists were correct 157 times. Complete parts (a) through (d) a. Given that Emilv used a coin toss to select either her right hand or her left hand. what proportion of correct responses would be expected if the touch therapists made random guesses? (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? (Round to three decimal places as needed.)arrow_forwardHow much customers buy is a direct result of how much time they spend in the store. A study of average shopping times in a large national houseware store gave the following information (Source: Why We Buy: The Science of Shopping by P. Underhill). Women with female companion: 8.3 min.Women with male companion: 4.5 min. Stores that sell mainly to women should figure out a way to engage the interest of men! Perhaps comfortable seats and a big TV with sports programs. Suppose such an entertainment center was installed and you now wish to challenge the claim that a woman with a male friend spends only 4.5 minutes shopping in a houseware store.arrow_forwardHurricane damage: In August and September 2005, Hurricanes Katrina and Rita caused extraordinary flooding in New Orleans, Louisiana. Many homes were severely damaged or destroyed, and of those that survived, many required extensive cleaning. It was thought that cleaning of flood-damaged homes might present a health hazard due to the large amounts of mold present in many of the homes. In a sample of 364 residents of Orleans Parish who had participated in cleaning of one or more homes, 72 had experienced symptoms of wheezing, and in a sample of 184 residents who had not participated in cleaning, 23 reported wheezing symptoms (numbers read from a graph). Can you conclude that the proportion of residents with wheezing symptoms is greater among those who participated in the cleaning of flood-damaged homes? Let p, denote the proportion of residents with wheezing symptoms who had cleaned flood-damaged homes, and let p, be the population proportion with wheezing symptoms who did not…arrow_forwardDo lizards play a role in spreading plant seeds? Some research carried out in a country would suggest so. The researchers collected 400 seeds of this particular type of fig, 100 of which were from each treatment: lizard dung, bird dung, rock hyrax dung, and uneaten figs. They planted these seeds in batches of 5, and for each group of 5 they recorded how many of the seeds germinated. This resulted in 20 observations for each treatment. The treatment means and standard deviations are given in the accompanying table. Treatment n Uneaten figs 20 | 2.80 0.30 Lizard dung 20 2.75 0.36 Bird dung 20 2.10 0.35 Hyrax dung 20 1.85 0.29 n USE SALT (a) Construct the appropriate ANOVA table, and test the hypothesis that there is no difference between the means for the number of seeds germinating for the four treatments. (Use a = 0.05. Round your mean squares to three decimal places and F statistic to two decimal places.) Source of Variation Sum of Squares Mean df F Square Treatments 3 13.45 4.483333…arrow_forwardTim is interested in studying whether Cognitive Behavioural Therapy (CBT) is an effective treatment for Obsessive Compulsive Disorder (OCD). Six people who were diagnosed with OCD participated in Tim's study, where he recorded the number of times they washed their hands per day for one month. They were then given a three week intensive CBT program before their hand-washing was monitored for another month. The average number of times per day each participant washed their hands over the two months of observation are as follows: Participant Month 1 Month 2 1 11 6 2 8 5 3 14 17 4 10 10 5 22 11 6 15 10 Compute the appropriate statistic to determine whether the program was effective and use this information to fill in the blanks: Q1. revealed that the number of times per day participants washed their hands following the CBT program was Q2. compared to the number of times per day participants washed their hands before the…arrow_forwardIn a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 340 trials, the touch therapists were correct 162 times. Complete parts (a) through (d). a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? 0.5 (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? (Round to three decimal places as needed.)arrow_forwardYou are a researcher who wants to study how people’s feelings towards Congress change over time. You send a survey to the same 1,000 people at two time points: 2005 and 2015. What type of study is this? A. Open-ended response study B. Focus group study C. Two-wave panel study D. Three-wave panel studyarrow_forwardConsider the following scenario and answer the questions below: The ornithologist decided to investigate the effect of temperature on the migration of North American birds. Develop a hypothesis in the appropriate format. Identify the independent variable. Identify the dependent variable. Plan an investigation (what would she do to collect data?). Did she engage in basic science or applied science? Explain. Did she engage in inductive or deductive reasoning? Explainarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON