In designing an experiment involving a treatment applied to 6 test subjects, researchers plan to use a simple random sample of 6 subjects selected from a pool of 54 available subjects. (Recall thatwith a simple random sample, all samples of the same size have the same chance of being selected.) Answer the questions below.a. How many different simple random samples are possible?0Wiew an example Ask my instructorEIIIDBC$4IRFV%51TG6BMacBook AirHN8UIUPM(9K19910O<IH6OHPLClear allcommandI{option?Check answer"I1

Combination Formula: The combination formula is used to determine how many ways an observation can…

Answered: In designing an experiment involving a…

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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In 2014, Scotland was considering independence from England, going so far as to take a referendum vote. One opinion poll taken at the time showed that 51% of Scots favored "independence." In another poll taken at that same time, only 34% favored being "separate" from England. The primary reason these results differed by so much is that a. samples will usually differ just by chance due to random sampling. b. the wording of questions has a big effect on poll results. c. more follow-up efforts reduced the nonresponse rate of the second poll. d. the sample sizes are different, so the margins of error are different.
In a study to compare two different methods of teaching reading, a class of 20 children was divided into two groups at random. Each group was taught reading using one method. After six months the two groups were given the same test. One pupil in the first group was ill and missed the test. The scores are given below.Method 1 80 85 79 81 89 73 50 71 76Method 2 79 62 75 68 62 73 76 81 73 61(a) Calculate the extreme values and the quartiles for each group. (b) Hence draw box-and-whisker plots for the two groups using the same scale. (c) Comment on the differences between the two groups.
A researcher is comparing the effectiveness of three devices designed to help people who snore. There are 210 people who snore participating in the experiment. Using a table of random digits starting from the first row and column, the researcher will randomly place the participants into three equally sized treatment groups suitable for comparison. Which number range would be needed to label the subjects correctly? O 0-2 O 1-3 O 000-210 O 001-210
Which of the following is not a random variable? The number of heads in ten tosses of a fair coin. The number of passengers in cars passing though a toll booth. The age of the driver in cars passing through a toll booth. The response of randomly-selected people to the question, “Did you eat breakfast this morning?” The response of randomly-selected people to the question, “How many hours of sleep did you get last night?"
The proportion of brown M&M's in a milk chocolate packet is approximately 14%. Suppose a package of M&M's typically contains 57 M&M's. a) State the random variable. b) List the given numbers with correct symbols. = 57 = 0.14 c) Explain why this is a binomial experiment. Check all that apply. There are more than two outcomes for each M&M There are a fixed number of M&Ms, 57 Whether or not one randomly selected M&M is brown will not affect whether or not another randomly selected M&M is brown There is not a fixed number of M&Ms There are only two outcomes for each M&M p = 14% remains constant from one randomly selected M&M to another Whether or not one randomly selected M&M is brown will affect whether or not another randomly selected M&M is brown Find the probability, to 4 decimal places: It is possible when rounded that a probability is 0.0000 d) exactly none are brown. e) exactly 54 are brown. f) at least…
A sports arena has three entrances (E1, E2, E3) and four different exits (X1, X2, X3, X4). As spectators come in, they enter through a random entrance E1,E2, or E3 and then exit through a random exit (X1,X2, X3, or X4). a. Create the sample space for this experiment listing all possible entrances and exits a spectator may use. Hint, how many outcomes are there? b. What is the probability a spectator enters from E3 and exits from X4? c. What is the probability a spectator does not enter from E1?
2. 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:
2. Reporting on cheats What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: "You witness two students cheating on a quiz. Do you go to the professor?" Only 11% answered "Yes." The dotplot shows the proportion who would go to the professor in each of 1000 random samples of size 172 from a population where 11% would go to the professor. 17 0.1 0.15 0.2 0.25 Simulated sample proportion who would say "Yes" 0 0.05 Distribution of simulated proportion # samples 1000 mean 0.11 SD 0.024 (a) Use the results of the simulation to approximate the margin of error for Gallup's estimate of the proportion of U.S. adults who were satisfied with the way things were going in the United States at the time of the poll. (b) Interpret the margin of error.
According to a report, 57.8% of murders are committed with a firearm. (a) If 300 murders are randomly selected, how many would we expect to be committed with a firearm? (b) Would it be unusual to observe 182 murders by firearm in a random sample of 300 murders? Why?
An article summarizes a report of law enforcement agencies regarding the use of social media to screen applicants for employment. The report was based on a survey of 734 law enforcement agencies. One question on the survey asked if the agency routinely reviewed applicants' social media activity during background checks. For purposes of this exercise, suppose that the 734 agencies were selected at random, and that you want to use the survey data to decide if there is convincing evidence that more than 25% of law enforcement agencies review applicants' social media activity as part of routine background checks. The sampling distribution of p̂ describes the behavior of p̂ when random samples are selected from a particular population. Describe the shape, center, and spread of the sampling distribution of p̂ for samples of size 734 if the null hypothesis H0: p = 0.25 is true. (Round your answers to three decimal places.)

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