In a survey, 165 consumers were asked about their buying preferences concerning a product that is sold in the market under three labels. The results were as follows.15 buy only those sold under label A.23 buy only those sold under label B.25 buy only those sold under label C.13 buy only those sold under labels A and B.9 buy only those sold under labels A and C.11 buy only those sold under labels B and C.9 buy the product sold under all three labels.How many of the consumers surveyed buy the product sold under(a) At least one of the three labels?49X consumers(b) Labels A and B but not C?4X consumers(c) Label A?15X consumers(d) None of these labels?116X consumers

We will use Venn Diagram to solve this problem.A Venn diagram illustrates the relationships between…

Answered: In a survey, 165 consumers were asked…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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For a within-subjects study comparing two treatments, A and B, a researcher expects that practice in the first treatment will improve the participants scores in the second treatment. If the order of treatments is counterbalanced, then the practice will… A. Influence scores in treatment A, but not in treatment B B. Influence scores in treatment A for half the participants and scores in treatment B for half the participants C. Not influence the scores in either treatment condition because the treatments are counterbalanced D. Influence scores in treatment B, but not in treatment A
Which one of the following conclusions could be drawn from a descriptive study? Question options: a. Concrete experiences help students understand abstract ideas better. b.Students are more likely to appreciate classical music if they are exposed to it on a regular basis. c. Students do better in school when they have warm, supportive relationships with their teachers. d. Approximately 80% of the students at Southside High School are planning to go to college.
A study was conducted to determine whether big-city and small-town dwellers differed in their helpfulness to strangers. In this study, the investigators rang the doorbells of strangers living in a large City or small towns in the vicinity. They explained they had misplaced the address of a friend living in the neighbourhood and asked to use the phone. The following data show the number of individuals who admitted or did not admit the strangers (the investigators) into their homes: Helpfulness to strangers Admitted strangers into their home Didnot admit strangers into their home Big city dwellers 60 90 Small town dwellers 70 30 State the dependent and independent variable Is this a directional or non directional
Human blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor the B antigen is present, the letter O is used.The following table gives the percent of a country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or −, respectively. Blood Types A+ A− B+ B− AB+ AB− O+ O− Percent 35.7 6.1 8.5 1.5 3.4 0.8 37.4 6.6 (a) What is the probability that a person selected at random from the population has a blood type that is type AB given that the person is Rh+? (Round your answer to two decimal places.)(b) What is the probability that a person selected at random from the population has a blood type that is Rh− given that the person is type O? (Round your answer to two decimal places.)
A drug company is interested in investigating whether the color of their packaging has any impact on sales. To test this, they used five different colors (blue, green, orange, red, and yellow) for their packages of an over-the-counter pain reliever, instead of the traditional white package. The following table shows the number of packages of each color sold during the first month. Package color Blue Green Orange Red Yellow Number of packages sold 310 292 280 216 296 Using a 1% significance level, test the null hypothesis that the number of packages sold of each of these five colors is the same. Make sure to state the null and alternative hypotheses.
Suppose a researcher is interested in examining the relationship between a person's gender and whether he or she likes the taste of Vegemite (a dark- brown food paste, made from yeast, that is popular in Australia). She collects a sample of n = 10 people and asks them whether they like the taste of Vegemite. The following table summarizes the results. Male Female Does Not Like the Taste of Vegemite 4 1 Likes the Taste of Vegemite 2 3 The researcher wants to calculate the correlation between a person's gender and whether he or she likes the taste of Vegemite. To do so, the researcher first creates a table of the data by converting each variable to a numerical value. She assigns 0 to "male" and 1 to "female." She then assigns 0 to "does not like the taste of Vegemite" and 1 to "likes the taste of Vegemite."
A local health department believes that a store is merchandising its cereal aisle in a way that puts sugary cereal brands at eye level for children. The store claims that it is not considering sugar content and is stocking the shelves based on other factors. An inspector visited the store and recorded the sugar content per serving listed on the boxes (sugar content for each box is listed under the shelf where that box of cereal is located). Shelf 1 Shelf 2 Shelf 3 Shelf 4 7 13 6 10 8. 5 14 7 8 11 11 10 11 3 a) What are the treatment groups, and how many experimental units are there per treatment? b) If instead of using the content listed on the box, the inspector sampled from multiple boxes of each brand of cereal and tested them for sugar content. How many experimental units were there be if there were 10 boxes per brand on the shelf? Explain your answer. [hint: all the boxes for each brand will be in one place] c) State the null hypothesis and create an ANOVA table based on sugar…
A report included data from a study in which 789 people in a representative sample of college students age 18 to 24 were asked how they perceive their money management skills. Possible responses were excellent, good, average, not very good, and poor. Each student in the sample was also classified by age, resulting in the data in the table. Perception of Money Management Skills Excellent Good Average Not VeryGood Poor Age 18 to 20 76 146 104 17 8 Age 21 to 22 57 103 85 10 3 Age 23 to 24 53 84 36 7 0 Use the data from 789 people in the table to determine if there is evidence of an association between age and perception of money management skills. Because some of the expected values are less than 5, construct a new table that combines the not very good and the poor categories. Use a significance level of ? = 0.05. Construct the new table. Perception of Money Management Skills Excellent Good Average Not VeryGood/Poor Age 18 to 20 Age 21 to 22…
. What percent of the random samples from Bag 1 had between 30% and 50% red marbles? What percent of the random samples from Bag 2 had between 30% and 50% red marbles? f. What percent of the random samples from Bag 1 had between 70% and 90% red marbles? What percent of the random samples from Bag 2 had between 70% and 90% red marbles? g. Which bag is more likely to be the one with 40% red marbles and which bag is more likely to be the one with 80% red marbles? Why? h. A third bag of 50 marbles contains 50% red marbles and 50% black marbles. If students take random samples of 10 marbles from that bag, how do you think a dot plot for those random samples would compare to the dot plots for Bag 1 and Bag 2?
12.EOC.56-E Undergraduate students at Miami University in Oxford, Ohio, were surveyed in order to evaluate the effect of gender and price on purchasing a pizza from Pizza Hut. Students were told to suppose that they were planning to have a large two-topping pizza delivered to their residence that evening. The students had to decide between ordering from Pizza Hut at a reduced price of $8.49 (the regular price for a large two-topping pizza from Oxford Pizza Hut at the time was $11.49) and ordering a pizza from a different pizzeria. The results from this question are summarized in the accompanying contingency table. Complete parts (a) through (d). GENDER Pizza Hut OtherFemale 4 12Male 8 16 a. Using a 0.05 level of significance, is there evidence of a difference between males and females in their pizzeria selection? b. What is your answer to (a) if twelve of the male students selected Pizza Hut and twelve selected…
Human blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor the B antigen is present, the letter O is used.The following table gives the percent of a country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or −, respectively. Blood Types A+ A− B+ B− AB+ AB− O+ O− Percent 35.7 6.1 9.5 1.5 3.4 0.8 37.4 5.6 (a) What is the probability that a person selected at random from the population has a blood type that is type A given that the person is Rh−? (Round your answer to two decimal places.)(b) What is the probability that a person selected at random from the population has a blood type that is Rh+ given that the person is type B? (Round your answer to two decimal places.)
In a recent survey conducted, a random sample of adults 18 years of age or older living in a certain country were asked their reaction to the word socialism. In addition, the individuals were asked to disclose which political party they most associate with. Results of the survey are given in the table. Complete parts (a) through (c) below. Democrats Independents Republicans O Positive 237 61 146 Negative 284 371 408 (a) Does the evidence suggest individuals within each political affiliation react differently to the word "socialism"? Use the a = 0.05 level of significance. State the hypotheses. O A. Ho: OD = ED and OR = ER and O = E, %3D H1: At least one mean is different from what is expected. O B. Ho: PD = PR = PI H4: At least one of the proportions is different from the others. O C. Ho: Political party and reaction are independent. H1: Political party and reaction are dependent. D. Ho: Political party and reaction are dependent. H1: Political party and reaction are independent.…

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