women more flexible than men? To answer this question, a physical therapist measured the flexibility of 15 domly selected women and 20 randomly selected men by determining the number of inches subjects could ch while sitting on the floor with their legs straight out and back perpendicular to the ground. The more cible an individual is, the more they can reach from the seated position. The physical therapist obtained the owing data: ender Women Ien Sample Size 15 20 Mean (in inches) 20.86 18.43 SD (in inches) 2.11 3.16 sume that both population distributions are approximately normal and that the population variances are NOT nal.
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a. Is the sampling dependent or independent in this study? Justify your answer.
b. Test the hypothesis at α = 0.05. Using the critical value approach, include all key steps of test of
hypothesis.
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- After inspecting all of the 55,000 kg of meat stored at the Wurst Sausage Company, it was found that 45,000 kg of the meat was spoiled. Parameter or Statistic?a servery of 1200 adults and children in the unittest states has shown that more people have lost a close connection with nature , although a wide cross section of respondents expressed a serie to close that gap. the study the nature of american national repor, found that more than half of adults reported spending five hours or less in nature each week, and begin satisfied with the small amount of time spent outdoors. parents of children 8-12 old siad that their child spend three times as many hours outside . the study said it was common for older adults who grow up spent less time in nature. in addtiontio to the lure of techology people speding less time in nature beacuse of where they work., live and go to school. the study showed the minority groups and young adults faced more barriers to getting inot nature than other groups. what is the population of interest? be as specific as possible what tyoe of study is this? specifiy whether observational or experiment and…A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actually contain the advertised 6 ounces of protein in each package. Based on the following data, is there any evidence that the meals do not contain the advertised amount of protein? Run the appropriate test at a 5% level of
- A simple random sample of front-seat occupants involved in car crashes is obtained. Among3000occupants not wearing seat belts,36were killed. Among 7697occupants wearing seat belts,18were killed. Use a0.05significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below.In many colleges, educators are changing their approach to instruction from a “teacher/lecture-centeredmodel” to a “student-centered model” where students learn in a laboratory environment in which lectureis deemphasized and students can proceed at a pace suitable to their learning needs. In once schoolwhere this model was being introduced, of the 743 students who enrolled in the traditional lecture model, 364 passed; of the 567 in the student-centered model, 335 passed. Use a 0.05 level ofsignificance to test the claim that student-centered model results in a higher pass rate than the traditionalmodel?At the end of summer, the total weight of seeds accumulated by a nest of seed-gathering ants will vary from nest to nest. If the expected total weight of seeds gathered by a randomly chosen nest is 5 pounds, and the standarddeviationis0.5pounds,whatistheprobabilitythatthetotalcombinedweightoftheseedsgatheredby100 nests will be larger than 495 pounds by the end of next summer? To answer this question most accurately, given the information available, we would use: 1. Chebyshev’s theorem 2.Markov’s theorem (3.The Central Limit Theorem 4.The joint probability that the weight of seeds is larger than 5 pounds in each nest.
- A recent poll found that 664 out of 1026 randomly selected people in a particular country felt that colleges and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for the CLT are met, use the accompanying Minitab output to complete parts a and b below. N Event Sample p 95% CI for p 1026 664 0.647173 (0.617934, 0.676413) Question content area bottom b. Suppose a sports blogger wrote an article claiming that a majority of adults from this country believe that colleges and universities with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the blogger's claim? Explain your reasoning. A. No, it is not a plausible claim because the confidence interval contains 50%. B. No, it is not a plausible claim because the confidence interval does not contain only values above 50%. C. Yes, it is a…An observer at a busy bus stop did a 30-minute study of 3 buses. Given the following -Alight time =2 sec -Board time=3 sec -Door opening time =5 sec Determine the dwell time for the 3 busesTo determine the average length of hospital stay for patients who were hospitalized with and recovered from Covid-19, a physician randomly surveyed 100 of his patients and determined their average length of hospital stay. Identify the population, parameter, sample, and statistic for the above scenario. Write "NONE" for any information that is missing.
- The table below summarizes data from a survey of a sample of women. Using a 0.01significance level, and assuming that the sample sizes of 800 men and 300 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree 498 247 Women who disagree 302 53 Compute the test statistic, rounding to three decimal places. Find the critical value(s). (Round to three decimal places) What is the conclusion based on the hypothesis test?The researchers reported:" A 2x2 ANOVA revealed, first of all, a main effect for depletion, indicating that depleted individuals generated less ideas (M = 9.40, SD = 5.64) than non-depleted individuals (M = 12.44, SD = 7.34), F (1, 108) = 6.03, p = .016, n2 = .05. This effect was qualified by the expected interaction with [perseverance], F (1,108) = 4.52, p = .036, n2 = .05". What size are the effects for the main effect of depletion and for the interaction between depletion and perseverance, according to Cohen's conventions? a. These are small- to -medium effects b. These are non existent effects c. These are large effects d. We are unable to tell from from the n2 / r2 statisticsA study was conducted in 1997 to measure the total fat content, calories, and sodium content of vegetable burgers available at supermarkets and commonly used as a meat substitute. Measurements on 54 different brands of "veggie burgers," and the results were used to develop the 3-way contingency table below. Under 130 Calories Under 130 Calories 130 Calories or More 130 Calories of More Total Fat Content Under 320 g Sodium 320 g Sodium or More Under 320 g of Sodium 320 g Sodium or More Under 3 g 6 12 1 1 3-4 g 7 4 3 5 Over 4 g 1 1 7 6 A= {"Under 130 Calories"}, B= {"320 g Sodium or More"} C= {"Over 4 g Total Fat"} A vegetable burger is selected randomly from the group. Find the following probabilities: Please Answer D, E, F (d.) P(A and B) (e.) P(A and B and C) (f.) P(A or B)