For each of the following experiments, describe the sample space. i) Flip a coin four times ii) Flip a coin and roll a die. ii) Observe the proportion of people with blue eyes in a group of 40 people.
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A: p1 = 352/1100 = 0.32 p2 = 275/1100 =0.25
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- In a study conducted to examine the quality of fish after 7 days in ice storage, ten raw fish of the same kind and approximately the same size were caught and prepared for ice storage. The fish were placed in ice storage at different times after being caught. A measure of fish quality was given to each fish after 7 days in ice storage. The sample data are shown below, where "Time" is the number of hours after being caught that the fish was placed in ice storage and "Fish Quality" is the measure given to each fish after 7 days in ice storage (higher numbers mean better quality). Which variable would be considered the response variable? Fish Time: 0 0 2 3 5 6 7 9 11 12 Fish Quality 8.5 8.4 8.0 8.1 7.8 7.6 7.3 7.0 6.8 6.7 Choose the correct answer below. A.Fish Quality B.Time C.Neither variable could be considered a response variable.Each customer entering a department store will either buy or not buy some merchandise. An experiment consists of following 5 customers and determining whether or not they purchase any merchandise. What is the number of sample points in the experiment?An online retailer would like to know whether the proportion of customers who visit the site and make a purchase is different than 50%. A simple random sample of customers is taken. The results of the sample are shown below.
- A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the 3456bchildren randomly assigned the vaccine, 58 got the virus. Of the 1606 children randomly assigned the placebo, 46 got the virus. a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine group, as investigators hoped? b. Determine whether the vaccine is effective in reducing the chance of catching the virus, using a significance level of 0.01.The first few steps of the hypothesis-testing procedure are given. Complete the procedure.Using the same question from #3 A survey is done to find out the favorite movies of 500 children. The children are categorized into male and female, and a sample of 50 children is chosen. Answer the following question: If the number of female children is 300, what is the sample size of each stratum? a male sample: 40 and female sample: 10 b male sample; 25 and female sample: 25 c male sample: 30 and female sample: 20 d male sample: 20 and female sample: 302. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
- A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 130 people living in Gastown and finds that 25 have an annual income that is below the poverty line.Micah is interested in testing whether college students' levels of gratitude change over the course of the semester. He randomly selects a sample of 100 students and assesses their levels of gratitude at the beginning, and end of the semester. Question 17 options: ANOVA Paired samples t test Independent samples t test CorrelationIn 1942, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1100 adults surveyed, 440 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 418 indicated that they were total abstainers. Complete parts (a) and (b) below. (a) Determine the sample proportion for each sample. and respectively. The proportions of the adults who took the 1942 survey and the recent survey who were total abstainers are (Round to three decimal places as needed.)
- Suppose 20% of the students on campus smoke. You select two students at random. In what percentage of samples will both students be smokers?A researcher studying allergies to animals is interested in performing a study at the local elementary school. At Pineview Elementary, there are 4 1st grade classrooms. The researcher picks 2 of the 4 classrooms and asks every 1st grader in the 2 classrooms what type of animal they own (cat, dog, rabbit, etc.). He also asks how often they experience allergies. What is the sample?Consider these sample data: x, = 12, x2 = 7, X3 = 6, x4 = 22. a. Find n. b. Compute x. c. Determine x.
