(b) A random sample of enrollments from selected 6 business schools in London that specializes in finance and marketing is listed below. Test at 10% significance level for the difference in the means. Finance 574 477 601 498 598 547 Marketing 892 913 843 1002 907 785
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- What is meant by the sample space of an experiment?In a controlled laboratory experiment, scientists at the University of Minnesota discovered that 25% of a certain strain of rats subjected to a 20% coffee bean diet and then force-fed a powerful cancer-causing chemical later developed cancerous tumors. Would we have reason to believe that the proportion of rats developing tumors when subjected to this diet has increased if the experiment were repeated and 16 of 48 rats developed tumors? Use a 0.05 level of significance.Suppose that a random sample of firms with impaired assets was classified according to whether discretionary write-downs of these assets were taken, and also according to whether there was evidence of subsequent merger or acquisition activity. Using the data in the accompanying table, test the null hypothesis of no association between these characteristics. Write-Down Merger or Acquisition Activity? Yes No Yes 32 48 No 25 57
- In a simple random sample of 78 NCAA Division III Football games, the team that scored first won the game 52 times. Use a significance level of 0.05 to test the claim that the team that scores first wins the game three quarters of the time, in Division III NCAA football.In a study of brand recognition, 821 of the 849 subjects recognized the Campbell’s soup brand. Use this sample data to test the claim that the recognition rate is equal to 98%. Use a 0.10 level of significance.A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who subscribe to Sporting News. A random sample of 90 urban residents showed that 12 subscribed, and a random sample of 97 suburban residents showed that 17 subscribed. Does this indicate that a higher proportion of suburban residents subscribe to Sporting News? Use a 1% level of significance
- In a study of cell phone use and brain hemispheric dominance, an internet survey was e-mailed to 5000 subjects randomly selected from an online group involved with ears. 717 surveys were returned. Use a 0.01 significance level to test the claim that the return rate is less than 15%.A study, which randomly surveyed 3,700 households and drew on this information from the IRS, found that 79% of households have conducted at least one IRA rollover from an employer-sponsored retirement plan. Suppose a recent random sample of 90 households in a certain county was taken and respondents were asked whether they had ever funded an IRA account with a rollover from an employer-sponsored retirement plan. Based on the sample data below, can you conclude at the 0.10 level of significance that the proportion of households in the county that have funded an IRA with a rollover is different from the proportion for all households reported in the study? 77 respondents said they had funded an account; 13 respondents said they had notA random sample of enrollments from medical schools that specialize in research and fromthose that are noted for primary care is listed. At a = 0.01 is there sufficient evidence toconclude that there is a difference in average enrollment based on the sample data? Research 474 783 813 692 884 577 605 467 670 443 565 694 277 663 414 696 419 783 546 442 662 605 427 474 371 587 293 555 527 728 107 277 320
- A random sample of 1100 potential voters was randomly divided into 2 groups. Group 1: 500 potential voters; no registration reminders sent; 248 registered to vote Group 2: 600 potential voters; registration reminders sent; 332 registered to vote Do these data support the claim that the proportion of voters who registered was greater in the group that received reminders than in the group that did not? Use a 1% level of significance.In a study, 28 adults with mild periodontal disease are assessed before and 6 months after implementation of a dental-education program intended to promote better oral hygiene. After 6 months, periodontal status improved in 15 patients, declined in 8, and remained the same in 5.9.1 Assess the impact of the program statistically (use a two-sided test).Suppose a researcher studied sleeping patterns in second-, fourth-, and sixth-grade children, and there were 7 students in each group, showing sleep periods in minutes below. Grade 2nd 4th 6th 580 525 562 570 575 532 594 497 565 543 478 537 552 517 525 506 455 493 537 532 490 Mean minutes participants slept 562.57 527.00 505.43 Suppose the researcher found significant ANOVA test result: the observed F statistic is 7.14 at alpha= .05 level, and the researcher made the decision to reject the null hypothesis. Finish up the ANOVA test with your interpretation in terms of the research question (you do not need to perform the test, just provide interpretation based the information available). Your interpretation: Given MSerror= 41, conduct the Tukey’s HSD post-hoc test to determine which groups differed significantly from one another. Include your calculation work, and show each comparison and state the outcome of each…