Solve the following problems. Use separate sheets when necessary. 1. A supermarket owner conducted a survey on the preference of the customers to a certain brand of coffee sold in his supermarket. The first 100 customers who en- tered the supermarket on a given day were interviewed and the results are shown below. Brand Brand x Brand y Brand z No. of 25 45 30 Customers Test the hypothesis that brand preference of the customers do not differ at 5% level of significance.
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- Virginia polled a large sample of individuals to find the percentage of students with known food allergies and the percentage of students without known food allergies. Which of the following could sufficiently display the data if only the two given categories are to be included? Select the correct answer below: bar graph pie chart either a pie chart or a bar graph neither a pie chart nor a bar graphA television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below. Age Group Watch11 p.m. News? 18 or less 19 to 35 36 to 54 55 or Older Total Yes 37 46 59 83 225 No 213 204 191 167 775 Total 250 250 250 250 1,000 (a) Let p1, p2, p3, and p4 be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H0 that p1, p2, p3, and p4 are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)…Hi I need help with this excerise please Noodles and Company tested consumer reaction to two spaghetti sauces. Each of 70 judges rated both sauces on a scale of 1 (worst) to 10 (best) using several taste criteria. To correct for possible bias in tasting order, half the judges tasted Sauce A first, while the other half tasted Sauce B first. Actual results are shown below for “overall liking.” Sauce A:8, 6, 8, 5, 6, 3, 7, 9, 6, 7, 8, 2, 7, 6, 7, 5, 9, 7, 7, 8, 6, 2, 6, 5, 8,7, 7, 6, 3, 8, 5, 5, 8, 8, 6, 8, 8, 8, 7, 6, 7, 8, 5, 5, 5, 5, 1, 6, 6, 8,9, 6, 6, 5, 5, 8, 6, 5, 4, 5, 5, 9, 6, 7, 1, 7, 6, 8, 7, 8 Sauce B:7, 6, 8, 2, 9, 6, 7, 1, 8, 6, 1, 5, 6, 5, 7, 2, 8, 6, 7, 5, 8, 6, 2, 8, 8,7, 3, 5, 6, 5, 6, 7, 8, 3, 7, 8, 6, 6, 1, 6, 7, 6, 8, 6, 3, 7, 8, 6, 7, 7,8, 6, 2, 6, 8, 5, 5, 7, 5, 8, 3, 6, 5, 6, 6, 6, 7, 8, 7, 1 (a) Calculate the mean and standard deviation for each sample. (Round your answers to 3 decimal places.) x⎯⎯x¯ S Sauce A Sauce B (b)…
- A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below. Age Group Watch11 p.m. News? 18 or less 19 to 35 36 to 54 55 or Older Total Yes 49 59 61 84 253 No 201 191 189 166 747 Total 250 250 250 250 1,000 (a) Let p1, p2, p3, and p4 be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H0 that p1, p2, p3, and p4 are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)…Twenty-nine college students, identified as having a positive attitude about Mitt Romney as compared to Barack Obama in the 2012 presidential election, were asked to rate how trustworthy the face of Mitt Romney appeared, as represented in their mental image of Mitt Romney’s face. Ratings were on a scale of 0 to 7, with 0 being “not at all trustworthy” and 7 being “extremely trustworthy.” Here are the 29 ratings: 2.6 3.2 3.7 3.3 3.4 3.6 3.7 3.8 3.9 4.1 4.2 4.9 5.7 4.2 3.9 3.2 4.5 5.0 5.0 4.6 4.6 3.9 3.9 5.3 2.8 2.6 3.0 3.3 3.7 a 95% confidence interval for the mean rating. Is there significant evidence at the 5% level that the mean rating is greater than 3.5 (a neutral rating)?The Monterey Bay Aquarium, founded in 1984, is situated on the beautiful coast of Monterey Bay in the historic Cannery Row district. In 1985, the aquarium began a survey program that involved randomly sampling visitors as they exit for the day. The survey included visitor demographic information, use of social media, and opinions on their aquarium visit. For each visitor sampled during 2013-2015, the distribution of the number of children in their group is given. Number of Children 0 1 2 3 or more 2013 1855 585 599 515 Year 2014 2015 1751 1998 636 591 601 483 506 289 To access the complete data set, click the link for your preferred software format: CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! In this exercise, we will answer the question of whether there a significant difference in the distribution of the number of children in the group over this three-year period, and if so, how the distribution has changed. SOLVE: Create a graph of the data using…
- The results of a recent poll on the preference of teenagers regarding the types of music they listen to are shown below. Teenagers Favoring This Type Music Type Teenagers Surveyed -0.03 0.05 0.47 Pop Rap 600 700 282 350 Find the point estimate of the difference between the two population proportions. 0-0.5The Condé Nast Traveler Gold List provides ratings for the top 20 small cruise ships. The data shown below are the scores each ship received based upon the results from Condé Nast Traveler's Annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a ship as excellent or very good on several criteria, including Shore Excursions and Food/Dining. An overall score was also reported and used to rank the ships. The highest ranked ship, the Seabourn Odyssey, has an overall score of 94.4, the highest component of which is 97.8 for Food/Dining. Shore Ship Overall Food/Dining Excursions Seabourn Odyssey 94.4 90.9 97.8 Seabourn Pride 93.0 84.2 96.7 National Geographic Endeavor 92.9 100.0 88.5 Seabourn Sojourn 91.3 94.8 97.1 Paul Gauguin 90.5 87.9 91.2 Seabourn Legend 90.3 82.1 98.8 Seabourn Spirit 90.2 86.3 92.0 Silver Explorer 89.9 92.6 88.9 Silver Spirit 89.4 85.9 90.8 Seven Seas Navigator 89.2 83.3 90.5 Silver Whisperer 89.2 82.0 88.6 National Geographic…A J.D. Power and Associates vehicle quality survey asked new owners a variety of questions about their recently purchased automobile. One question asked for the owner's rating of the vehicle using categorical responses of average, outstanding, and exceptional. Another question asked for the owner's education level with the categorical responses some high school, high school graduate, some college, and college graduate. Assume the sample data below are for 500 owners who had recently purchased an automobile. Education Quality Rating Some HS HS Grad Some College College Grad Average 30 30 20 60 Outstanding 50 50 50 90 Exceptional 20 20 30 50 a. Use a 0.05 level of significance and a test of independence to determine if a new owner's vehicle quality rating is independent of the owner's education. Compute the value of the x test statistic (to 2 decimals). Use Table 3 of Appendix B to find the p-value. The p-value is - Select your answer - What is your conclusion? - Select your answer - v…
- A consumer group wanted to determine if there was a difference in customer perceptions about prices for a specific type of toy depending on where the toy was purchased. In the local area there are three main retailers: W-Mart, Tag, and URToy. For each retailer, the consumer group randomly selected 5 customers, and asked them to rate how expensive they thought the toy was on a 1-to-10 scale (1= not expensive, to 10 = very expensive). The toy was priced the same at all retail stores. 1. What kind of statistical test should be used to test the consumer group's research goal, assuming that the researcher wanted to use the 1-to-10 scale as a numerical interval measure? A. Repeated-measures t-test B. One-way Independent Measures ANOVA C. Repeated-measures ANOVA D. Independent-measures t-test 2. State the hypothesis that aims to test the consumer group’s research goal (i.e., what is H0 and HA).Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 100 people about their favorite types of TV shows. His data were as follows. 57 preferred comedies. 40 preferred variety shows. 42 preferred serious drama. 17 preferred comedies and variety programs. 15 preferred variety and serious drama. 18 preferred comedies and serious drama. 8 preferred all types. 5 did not like any of these TV show types. If you were the personnel manager, would you hire Matt on the basis of this survey? Why or why not?A random sample of 40 students from each grade level was surveyed regarding their preference for a class field trip. If there are 180 members of the 8th grade class, then what percent preferred either the museum or the sports complex? Show your work.