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- Here are summary statistics for the weights of Pepsi in randomly selected cans: n=36, x=0.82412 lb, s = 0.00574 lb. Use a confidence level of 99% to complete parts (a) through (d) below. a. Identify the critical value tx/2 used for finding the margin of error. ta/2 = 2.72 (Round to two decimal places as needed.) b. Find the margin of error. E=0.00261 lb (Round to five decimal places as needed.) c. Find the confidence interval estimate of μ. b<μUsing age as the quantitative variable and marital status (married/not married) as the categorical. Develop two research questions.A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…. A researcher suspects that the actual prevalence of generalized anxiety among children and adolescents is higher than the previously reported prevalence of generalized anxiety disorder among children and adolescents. The previously reported prevalence of generalized anxiety disorder among children and adolescents is 4.1%, and the researcher conducts a study to test the accuracy of the previously reported prevalence of generalized anxiety disorder by recruiting 98 children and adolescents from various pediatricians’ offices and tests them for generalized anxiety disorder using the DSM-5. The researcher determines that the prevalence of generalized anxiety disorder among the participants of the study is 6.8%. The researcher’s hypothesis, for a level of significance of 5%, should resemble which of the following sets of hypothesis? A) H0: p > .041; H1: p = .041; alpha= .05 B) H0: p > .041; H1: p = .041; alpha= .95 C) H0: p = .041; H1: p > .041; alpha= .05 D) H0: p = .041; H1: p…There are many ways to measure the reading ability of children. Research designed toimprove reading performance is dependent on good measures of the outcome. Onefrequently used test is the DRP, or Degree of Reading Power. A researcher suspects that themean score µ of all third- graders in Henrico County Schools is different from the nationalmean, which is 32. To test her suspicion, she administers the DRP to an SRS of 44 HenricoCounty third-grade students. The distribution of scores is summarized in the Minitab outputbelow: MEAN STDEV SEMEAN MIN Q1 MEDIAN Q3MAXDRP 35.09 11.19 1.69 14.00 26.00 35.00 44.0054.00 Construct a 90% confidence interval to estimate the mean DRP score in Henrico CountySchools.1. A researcher was interested in understanding reproductive health among youth. She randomly selected a group of young persons and administered a questionnaire to collect information. Table 1 provides data on 10 respondents with their responses to selected questions. Respondent # How much of Gender a risk would Number of persons had sex with in the past months Frequency of Alcohol usage in the past 12 do you think you personally have of getting other STDS? 12 months (Risk of HIV) Moderate Risk Female No risk at all Little risk 1 Never Male Almost everyday Male Never Great risk Male Female 4 About once per week Once per month Almost everyday 1-3 drinks per month Moderate risk 6. No risk at all Female 1 7 Great Risk Male 3 8. No risk at all Female Never Little Risk No risk at all Female Male Almost every day About once per 9 10 month a. Refer to Table 1: Indicate the most appropriate measure of central tendency for each variable listed and give a reason for your choice. b. Suppose you…O Macmillan Learning Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 200 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms per square meter of body surface area (kg/m²). Typical young men have about 20 kg/m². Each subject chose two images, one that represented his own level of body muscle and one that he thought represented "what women prefer." The mean gap between self-image and "what women prefer" was 2.35 kg/m². Suppose that the "muscle gap" in the population of all young men has a Normal distribution with standard deviation 2.5 kg/m². Give a 90% confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (They are wrong: women actually prefer a level close to that of typical men.) Give your answers to four decimal places. lower limit: upper limit: Chi-Fu Jeffrey Yang, Peter…The top 5 students of grade 10 section Oxygen class, James, Jessie, Jane, John, and Jack, are so eager to know their respective ranks. They keep on asking their teacher, Mr. Jacob, about who got the first rank, second, and so on. Mr. Jacob challenged them and said, "For all of you, in relation to all Grade 10 student's grades, you got the 90th percentile, 9th decile, 3rd quartile, 95th percentile, and 8th decile, respectively. Now tell me the correct rankings and prove to me that you are worth the rank you are in." Which of the following is the most probable ranking of the five students? James, John, Jack, Jessie, Jane Jane, John, Jack, Jessie, James John, Jack, James, Jessie, Jane John, James, Jessie, Jack, JaneThe average number of cavities that thirty-year-old Americans have had in their lifetimes is 4. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 11 twenty- vear-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 2, 5, 3, 2, 5, 3, 5, 2, 2, 2, 4 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: ns Ho: ? vSelect an answer v re H: ? v Select an answer c. The test statistic 2 v = (please show your answer to 3 decimal places.) urse d. The p-value = e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that... (Please show your answer to 4 decimal places.) O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly different from 4 at a = 0.05, so there is…The Board of Visitors hypothesize that self-esteem is increased by the time spent in college. After completing their junior year, a random sample of students was selected and given the Self-Esteem Adult Survey (SEAS). After completing their senior year they were again tested. What can be conclude with an a of 0.01? junior senior 5.9 2.1 7.2 7.5 7.4 6.9 6.8 6.3 8.5 5.5 6.2 6.4 7.3 4.6 5.2 5.2 a) What is the appropriate test statistic? Related-Samples t-test b) Condition 1: junior Condition 2: senior c) Input the appropriate value(s) to make a decision about Ho. p-value = ; Decision: --Select--- d) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and/or select "na" below. ; Magnitude: ; Magnitude: ---Select--- d = --Select--- 2 = e) Make an interpretation based on the results. O Students showed significantly less self-esteem in their senior year as opposed to their junior year. O Students showed significantly more…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.