2. A Multi Level Marketing (MM) company wants to evaluate the effectiveness of gender inrecruiting new members. For this reason, a sample of 20 people was selected, of which 10 male members and 10 female members were selected. The following is a recapitulation of the number of members who succesf ully recruited in the past year Gender Number of Members 20 15 16 21 13 23 20 29 20 21 18 15 22 17 Male 14 Female 16 32 20 17 26 With a significance level of 5% and the assumption of the same variance, can it be concluded that women more effective in recruiting new members than men?

The Knight Foundation investigates whether high school students agreed with the statement that people should be allowed to burn or deface the American flag as a political statement. This question was asked in a survey of a representative sample of high school students in 2004 and also in a survey of a representative sample of high school students in 2014. Suppose that the sample size was 1000 in each of the two years. Data consistent with summary values given in the paper are summarized in the accompanying table. Is there convincing evidence that the proportions falling into each of the response categories were not the same for high school students in 2004 and 2014?

Although an increasing share of Americans are reading e-books on tablets and smartphones rather than dedicated e-readers, print books continue to be much more popular than books in digital format (digital format includes both e-books and audio books). A Pew Research Center survey of 1502 adults nationwide conducted January 8-February 7, 2019, found that 1081 of those surveyed had read a book in either print or digital format in the preceding 12 months. (You may regard the 1081 adults in the survey who had read a book in the preceding 12 months as a random sample of readers.) Andrew Perrin, "One-in-five Americans now listen to audiobooks," September 25, 2019 at www.pewresearch.org/fact-tank/2019/09/25/one-in-five-americans- now-listen-to-audiobooks/. The sampling scheme was more complex than an SRS, so the computation of the number in the sample who have read in the preceding 12 months and acting as if it were an SRS is oversimplified Macmillan Learning STATE: What can you say with 95%…

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3. Travelers who have no intention of showing up often fail to cancel their hotel reservations in a timely manner. These travelers are known, in the parlance of the hospitality trade, as "no-shows". To protect against no-shows and late cancellations, hotels invariably overbook rooms. A recent study examined the problems of over-booking rooms in the hotel industry. The following data, extracted from the study represent the daily numbers of late cancellations and no-shows for a random sample of 10 days at a hotel: 18, 16, 16, 16, 14, 18, 16, 18, 14, 19. c) Count the number of measurements that actually fall within the interval(-28, +2s) and express the interval count as a percentage of total number of measurements. at least 75% 100% 68% 95%

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…

1.  Explain under what conditions a researcher would use a One-Way Between-Subjects ANOVA. 2.  A psychologist at a private mental hospital was asked to determine whether there was a clear difference in the length of stay for patients with different categories of diagnosis.  Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows:Diagnosis Category Affective Disorders                             Cognitive Disorders                Drug-Related Conditions             7                                                          12                                                        8             6                                                          8                                                          10             5                                                          9                                                          12             6                                                          11…

A cross-sectional study is conducted to investigate cardiovascular disease (CVD) risk factors among a sample of patients seeking medical care at one of three local hospitals. A total of 500500 patients are enrolled. Based on the following data, we would like to determine if there is a significant association between the family history of CVD and the enrollment site. Enrollment Site   Family History of CVD Hospital 1 Hospital 2 Hospital 3 Total Yes 34 8 58 100 No 104 72 224 400 Total 138 80 282 500 Given: The value of the test statistic is χ2= 6.912  Use α=0.1 as the level of significance. The superintendent of Hospital 2 performed the Goodness of Fit Test to test whether 25% of the patients go to Hospital 1, 15% of the patients go to Hospital 2 and 60% of the patients go to Hospital 3.  Given: The superintendent found that the pp-value for the test is 0.25091 Let: p1=p1= be the proportion of patients at Hospital 1 p2=p2= be the proportion of patients at…

1.  A developmental psychologist would also like to determine how much fine motor skill improves for children from age 3 to age 4 but is worried about practice effects. She takes a random sample of 9 three-year old children and a second sample of 9 four-year olds and measures fine motor skill in each using the same test described above. Her data are provided below. Three Year Olds: 40, 35, 38, 39, 40, 50, 40, 38, 42 Four Year Olds: 35, 36, 39, 29, 35, 34, 33, 34, 35    a. Is there a significant difference in the motor skills from age three to four? Test with an α = 0.01.    b. What type of error is possible based on the outcome?    c. Calculate and interpret the effect size.    d. What is the mean motor skill score for the age three children? What is the mean motor skill score for the age four children?

6. A study of report writing by psychologist is conducted. A scale that measures the intelligibility of psychologist English is devised. This scale, called an "index of confusion" is devised so that low scores indicate high readability. These data are obtained on articles randomly selected from psychology journals and from unpublished reports written in 2015. Unpublished reports 2.39 Journals 1.79 1.75 1.67 1.65 2.51 2.86 2.14 1.87 1.75 1.94 2.56 2.29 2.49 1.62 2.06 1.33 2.36 2.58 2.33 1.96 1.69 1.70 2.62 2.41 1.94 a. Test the appropriate hypotheses. b. Does there appear to be a difference between u, and u, ? Explain.