Suppose a university wishes to compare the effectiveness of four leaming modalities (Face-to-Face, Online, Blended, Course Learning Module) for a particular course. 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: Face-to-Face 23 20 28 18 15 e Online 23 30 15 28 33 Blended 30 35 28 33 CLM 25 15 15 23 20 28 25 25 40
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- What is a sample space?List the sample space of each experiment. Selecting a letter of the alphabetA pet food manufacturer runs an experiment to determine whether four types of cat treats are equallypreferred by cats. The manufacturer randomly selects 160 cats from a large city’s network of animal shelters.In the experiment, 160 cats are individually presented with four dishes, each containing a different type oftreat, and their choices are noted. Results show that 30 cats chose Type A, 43 chose Type B, 45 chose Type C,and 42 chose Type D. Do these data provide convincing statistical evidence at the 10% level that cats have preferences among typesof cat treats?
- A researcher is interested in factors related to academic performance of students. She hypothesized that for undergraduate students, there is an association between academic majors (STEM, Business, Education, Nursing) and amount of time spent studying each week (less than 3 days, 3 to 6 days, everyday). To test her hypothesis, she randomly selected 1000 undergraduate students from various colleges/universities in Texas, and then classified each participant according to their major and amount of study time each week. For her study, she found test-statistic of 23.75 and a p-value of 0.0006. Using this information, fill in the necessary information below for her test. Distribution used: a. chi-square distribution, 3 degrees of freedom b. chi-square distribution, 4 degrees of freedom c. chi-square distribution, 6 degrees of freedom d. chi-square distribution, 12 degrees of freedomA researcher randomly selected 500 patients in a doctors office and found that 90% of these patients had health insurance. The results of this study, if applied to all residents, are questionable because of: a) selection bias b) response bias c) lack of accuracy d) nonreponse biasA company wished to study the differences among four sales-training programs on the sales abilities of their sales personnel. Thirty-two people were randomly divided into four groups of equal size and the groups were then subjected to different sales-training programs. Because there were some dropouts due to illness during the training program the number of trainees completing the programs varied from group to group. At the end of the training programs, each salesperson was randomly assigned a sales area from a group of sales areas that were judged to have equivalent sales potentials. The numbers of sales made by each of the four groups of sales people during the first week after completing the training program are listed in the table.
- In the last few years, a number of web-based companies that offer job-placement services have been created.The manager of one such company wanted to investigate the job offers recent MBAs were obtaining. In particular, the manager wanted to know whether finance majors were being offered higher salaries than marketing majors.Suppose that we examine the transcripts of finance MBA majors and marketing MBA majors as follow.We randomly select a finance MBA major and a marketing MBA major whose grade point average (GPA) falls within a same range (based on a maximum of 4).Then the highest salary offer for each selected MBA major was recorded.This process was continued until there are enough records to cover the GPA from 2.0 to 4.0 (The minimum GPA required for graduation is 2.0).The following data represent the highest salary offers for randomly selected Finance MBA majors and Marketing MBA majors with about the same GPA. Finance Marketing 78000 75000 85000 79000 75000 79000…According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking. The same college president is more interested in testing her suspicion that the proportion of students at her college that binge drink is different than the national proportion of .37. Use the statistic provided for her college above for your test. A. Define the null and alternative hypotheses to test this claim. B. By hand, calculate the test statistic for this test. C. Use…According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking. Calculate the statistic for this sample. Calculate the standard error for this sample. Verify that we can use a normal distribution for this sample. By hand calculate a 90% confidence interval for the proportion of all students at this college that engage in binge drinking. Show all work. Interpret the results of your confidence interval in the context of the…
- According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 41% of college students nationwide engage in binge drinking behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is lower than the national proportion. In a commissioned study, 462 students are selected randomly from a list of all students enrolled at the college. Of these, 162 admitted to having engaged in binge drinking. The college president is interested in testing her suspicion that the proportion of students at her college that binge drink is lower than the national proportion of 0.41 at a level of significance of . Carry out the test and report your conclusion. (round to 2 decimal places, determine the p value – 4 decimal places and report your conclusion.) Based on the sample of these 462 students calculate . State the null and…In San Francisco, a sample of 3,264 wireless routers showed that 1,142 used encryption (to prevent hackers from intercepting information). In Seattle, a sample of 1,910 wireless routers showed that 618 used encryption. Specify the decision rule at a= 0.10 Find the test statistic (z calc)for its Music 360 survey, Nielsen Co. asked teenagers and adults how each group has listenedto music in the past 12 months. Nearly two-thirds of U.S. teenagers under the age of 18 say theyuse google Inc.’s video-sharing site to listen to music and 35% of the teenagers said they usePandora Media Inc.’s custom online radio service (the wall street Journal, August 14, 2012).Suppose 10 teenagers are selected randomly to be interviewed about how they listen to music.a. Is randomly selecting 10 teenagers and asking whether or not they use Pandora MediaInc.’s online service a binomial experiment?b. what is the probability that none of the 10 teenagers use Pandora Media Inc.’s onlineradio service?c. what is the probability that 4 of the 10 teenagers use Pandora Media Inc.’s online radioservice?d. what is the probability that at least 2 of the 10 teenagers use Pandora Media Inc.’sonline radio service?