Suppose a university wishes to compare the effectiveness of four learning modalities (Face-to-Face, Online, Blended, Course Leaming Module) for a particular coune. Twenty-four students are randomly assigned to the learning modalities, with 7, 6, 6 and 5 respectively. At the end of course, a test (out of 50) was given and the performance of the students were recorded as follows Blended 30 35 28 33 28 Face-to-Face 23 20 28 18 20 25 18 Online 25 30 15 28 33 25 CLM 25 15 15 23 25 40 After conducting the test, at a significance level of a = 0.05, what is your decision?
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- Maya has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Maya has recorded the travel times for samples of eleven trips via the 10 Freeway and eleven trips via the 60 Freeway. The following table gives the travel times (in minutes) for the twenty-two trips. Travel times in minutes 10 Freeway 74, 72, 75, 75, 74, 72, 67, 67, 75, 69, 71 60 Freeway 70, 80, 69, 71, 69, 77, 68, 79, 74, 79, 77 Send data to calculator Send data to Excel Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.05 level of significance, that u,, the mean travel time via the 10 freeway, is different from µ,, the mean travel time via the 60 freeway? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal…A local government official observes an increase in the number of individuals with cardiovascular and obesity problems in his barangay. In order to improve the health conditions of his constituents, he aims to promote an easy and cheap way to reduce weight. It is known that obesity results in risk of having illnesses like diabetes and heart problems. He encouraged his constituents to participate in his "Dance for Life" project every weekend for three months. To know if the program is effective in reducing weight, he randomly selected 12 participants from the group who completed the program. The weight loss data, in kilograms, of the 12 randomly selected participants after completing the program, are 0.5, 0.7, 0.9, 1.1, 1.2, 1.3, 1.4, 2.0, 2.3, 2.4, 2.7, 3.0. It is known that the weight loss of those who have completed the dance program follows a normal distribution with variance of 3.24 ??2. a. Construct and interpret a 90% confidence interval for the true mean weight loss of the…How would you conduct a sample of people in your community so that you could see which flavors are most popular? Give specific details of how you would collect your data, and state how many responses would be sufficient.
- An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were: Sample Number Programmed Instruction Lecture TV Group Discussion 1 6 8 7 8 2 7 5 9 5 3 6 8 6 6 4 5 6 8 6 5 6 8 5 5 At the 0.01 level, what is the critical value? Multiple Choice 1.00 1.96 3.24 5.29Twenty-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)?A social and personality psychologist thinks that creativity differs by personality traits, rather than the traditional view that it is a cognitive process. Specifically, this psychologist thinks that introverts are more creative than extraverts. The researcher gives a personality test to a group of 16 university students and then separates them based on the assessment results into 2 groups: the extraverts and the introverts. The participants are then asked to write a short story which is rated on creativity by a well-known author. The creativity scores range from 0 to 20 on an interval scale, where higher scores indicate greater creativity. The results are shown in Table 2. Using the 0.05 alpha level, are introverts more creative than extroverts? Use all of the steps of hypothesis testing. extrovert introvert 8 18 7 17 11 10 3 14 5 16 8 15 7 19 4 12
- Find tests statitic and p-score.A study was conducted to evaluate how foreign language learning is influenced by instruction methods- immersion vs. memorization. The study used two groups of native English speakers. One group (Group1, with n=9 participants) participated in a course focusing on immersion, while the second group (Group2, with n=10 participants) participated in a course focusing on memorizing words and grammar. Both groups took a language test immediately following the course and their test scores were compared. Group1 had a mean exam score of 70 and the sum of squares SS =72, while Group 2 had a mean exam score of 86 and the sum of squares SS =90. The researcher wants to know if there is a significant difference between the mean exam scores of the two groups. An alpha level of .05 was set by the researcher. What type of t-test should you do? related-samples independent-samples Is the hypothesis directional or non-directional? State the null and alternative hypotheses in…Camille for her part wants to assess the impact of an awareness campaign aimed at reducing the amount of household food waste. The campaign is taking place in a subset of neighborhoods of Ville de Montréal. Camille’s objective is to compare the average amount of food waste produced in those neighborhoods, with that in neighborhoods not targeted by the campaign. Therefore, she randomly chooses five neighborhoods targeted by the campaign and five neighborhoods where the campaign does not take place. In each of the 10 neighborhoods, she monitors the weekly amount of food waste (kg) for each of a number of households, and calculates amounts on a per household basis; see below. Is the amount of food waste per household in the neighborhoods targeted by the campaign lower, on average, than in those not targeted by the campaign? Use α= 0.05.
- You are a manager for Company ABC and decide to compile data and analyze your employees’ level of satisifaction. You create a survey to ask each employee to rate their level of satisfaction working at Company ABC. Table 1 shows data of 15 people employees that responded to your survey. Each of the employees have the same job title: Sales Representative. The data set includes variables regarding an employee ID, gender, ethnicity, region, pay rate, employee satisfaction rating. Each employee was asked to rate their level of satisfaction working at Company ABC. A composite score from 0 (lowest) to 5 (highest) is shown as the data variable employee satisfaction. Table 1: Employee Data on 15 Sales Representatives at Company ABCDuring the pandemic, an HR manager randomly assigned 6 employees to work from homeand the other 6 employees to work from the office as usual. After three months, all 12employees’ job performance was tested. Scores for those working from home were 10, 12,14, 13, 11, 12, and scores for those who worked from the office were 8, 6, 10, 8, 9, and 7.The HR manager then compares the scores from both groups to determine which groupscores significantly higher.Based on the experiment above,a) Carry out a t-test using five steps of hypothesis testing with the 0.05 level ofsignificance at one-tailed. Explain your finding.b) Sketch the t-distribution involved.A report described teens' attitudes about traditional media, such as TV, movies, and newspapers. In a representative sample of American teenage girls, 42% said newspapers were boring. In a representative sample of American teenage boys, 45% said newspapers were boring. Sample sizes were not given in the report. A button hyperlink to the SALT program that reads: Use SALT. (a) Suppose that the percentages reported had been based on a sample of 50 girls and 40 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using ? = 0.05. (Use pgirls − pboys.) Find the test statistic. (Round your answer to two decimal places.) z = Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. Reject H0. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who…