TOPIC: MARKOV CHAINSA market research firm conducted a household survey regarding preferences for three brands of detergents.three brands of detergents. The survey was conducted by interviewing the same housewives at the beginning of two consecutive months.consecutive months. The results of the survey are as follows:Beginning of month 1: 200 respondents showed a preference for the "Ace" brand, 120 for the "Bold" brand, and 180 for the "Clean" brand.for the "Clean" brand.A) With the above data, write a transition probability matrix and indicate how many housewives were loyal to each brand during that period.were loyal to each brand during that period.

However, based on the information given, we can still provide an example of how to construct a…

A market research firm conducted a household survey regarding preferences for three brands of detergents. three brands of detergents. The survey was conducted by interviewing the same housewives at the beginning of two consecutive months. consecutive months. The results of the survey are as follows: Beginning of

A market research firm conducted a household survey regarding preferences for three brands of detergents. three brands of detergents. The survey was conducted by interviewing the same housewives at the beginning of two consecutive months. consecutive months. The results of the survey are as follows: Beginning of

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Ecologists conducted a study to investigate the potential ecological impact of golf courses. Investigators monitored the reproductive success of bluebirds in birdhouses at nine golf courses and ten similar birdhouses at nongolf sites. Data on nests in birdhouses occupied only by bluebirds are shown in the table. If the proportions of nests occupied is the same for golf and nongolf sites, what would be the expected count of birdhouse with 1 nest in nongolf locations? O nests 1 nest Total 2 or 3 nests Golf 30 42 8 80 Nongolf 40 58 22 120 Total 70 100 30 200 50 b 42 60 d. 58 e 40 O O O O O
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During one month, a blood donation center found that 45.5% of the donors had the A antigen. 14.5% of the donors had the B antigen. 4.6% of the donors had the A antigen and the B antigen. 84.6% of the donors were Rh+. 87.8% of the donors had the B antigen or were Rh+. (a) Find the percent of donors that have the A antigen or the B antigen. 55.4 % (b) Find the percent of donors that have the B antigen and are Rh+. ?
A crossover trial is a type of experiment used to compare two drugs. Subjects take one drug for a period of time, then switch to the other. The responses of the subjects are then compared using matched-pair methods. In an experiment to compare two pain relievers, seven subjects took one pain reliever for two weeks, then switched to the other. They rated their pain level from 1 to 10, with larger numbers representing higher levels of pain. The results were: Subject Drug A Drug B 1 6 5 2 3 1 3 4 4 7 6 2 7 4 2 Can you conclude that the mean pain level is less with drug B? Use a=0.05. (1) Critical Value (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')
Example 1: The owner of a local restaurant chain in town was trying to determine the best location to open her next restaurant and she had narrowed it down to two locations. She wanted to make her decision based on how interested residents in each area were in her restaurant. So she hired an independent company to survey residents from each neighborhood to gauge their interest. In the first neighborhood, 120 residents were surveyed and 84 of them expressed interest in the new restaurant. In the second neighborhood, 200 residents were surveyed and 110 of them expressed interest in the new restaurant. Carry out an appropriate hypothesis test at the a = 0.02 level to determine if there is sufficient evidence to suggest that one neighborhood is more interested in the new restaurant than the other.
Dataset: NES. Variables: spend8, nesw.) The NES dataset contains spend8, which records the number of government policy areas where respondents think spending should be increased. Scores range from 0 (the respondent does not want to increase spending on any of the policies) to 8 (the respondent wants to increase spending on all eight policies). The NES, of course, polls a random sample of U.S. adults. In this exercise you will analyze spend8 using the Analyze ▶ Compare Means ▶ One-Sample T Test procedure. You then will draw inferences about the population mean. Make sure you weight observations using the nesw variable so your results are nationally representative. A. The spend8 variable has a sample mean of ______.
A manufacturing plant makes computer chips 24 hours a day. Employees work one of three, 8 hour shifts during the morning (2am-10am), day (10am-6pm), and night (6pm-2am). Below are data on the number of defective chips on a randomly chosen 24 hour period. Shift Morning Day Night Number of Defective Chips 23 26 47 Total Chips Manufactured 330 330 330 The plant manager thinks there might be more defective computer chips manufactured during the night shift compared to the day shift. Give appropriate statistical evidence to test the managers' claim.
At an assembly plant, workers assemble parts for a piece of farm equipment. The supervisor conducted an experiment to compare the effectiveness of three assembly methods, A, B, and C. Eighteen employees were randomly assigned, six employees each, to one of the three methods. After completing their training, each person was asked to assemble five pieces of equipment using his or her training method. The average time to complete the assembly of all five pieces of equipment was recorded. (a) What type of study design is used? O independent groups design O repeated measures design O matched pairs design O randomized block design What are the experimental units in this study? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods O the average time to assemble five pieces of equipment (b) What are the treatments? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods the average time to assemble five pieces of…
Cable TV choices: A telecommunications company provided its cable TV subscribers with free access to a new sports channel for a period of 1 month. It then chose a sample of 404 television viewers and asked them whether they would be willing to pay an extra $10 per month to continue to access the channel. A total of 35 of the 404 replied that they would be willing to pay. The marketing director of the company claims that the percentage of all of its subscribers who would pay for the channel differs from 6%. Can you conclude that the director's claim is true? Use the a=0.10 level of significance and the P-value method with the table. Part: 0 / 4 Part 1 of 4 (a) State the appropriate null and alternate hypotheses. Ho : H₁ : This hypothesis test is a (Choose one) ▼ test. Part: 1 / 4 Part 2 of 4 P-value= Part: 2 / 4 Part 3 of 4 (b) Compute the P-value. Round the answer to at least four decimal places. (c) Determine whether to reject Ho. (Choose one) Part: 3 / 4 Part 4 of 4 X (d) State a…
National polls from October 2016 showed that preferences for the 2016 presidential election differed along gender lines. Poll results showed that a greater percentage of likely female voters supported Clinton/Kaine, while a greater percentage of likely male voters supported Trump/Pence. A summary of poll results are shown in the table below. Men Women Clinton/Kaine 0.44 0.49 Trump/Pence 0.47 0.43 Based on this data, answer the following questions. Assume each person selected is independent from one another. Round your answers to 3 decimal places.(a) If 10 women across the US are randomly selected, find the probability that 9 or more support Clinton/Kaine. (b) If 20 men across the US are randomly selected, find the probability that 16 or less support Trump/Pence. (c) If 260 women across the US are randomly selected, how many would you expect to support Clinton/Kaine? (d) If 240 men across the US are randomly selected, how many would you expect to support Trump/Pence?
A student researcher wants to test the hypothesis that an individual’s sex and education levels affect one’s political views. They examine males and females among three different education levels: high school, undergraduate, and graduate. Analysis: Ho:
Determining whether two samples are independent or paired a... Charmaine has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the San Bernardino Freeway, and the other is to go via the Pomona Freeway. Recently, a lane was added to the San Bernardino Freeway. So, Charmaine wants to determine if it is now faster to take the San Bernardino Freeway than the Pomona Freeway. She selected a random sample of 12 of her trips via the San Bernardino Freeway and a random sample of 12 of her trips via the Pomona Freeway. The two samples were chosen separately, so that the selection of the trips via the San Bernardino Freeway did not affect the selection of the trips via the Pomona Freeway. Charmaine recorded the travel times (in minutes) for the trips in each of the two samples. The following table gives the data, sample means, and sample standard deviations. S.B. Fwy 79, 76, 66, 69, 71, 75, 67, 75, 65, 60, 76, 74 Pomona Fwy 63, 76, 79, 78, 74, 71, 65, 75,…