1. Consider a very small, hypothetical dataset for two groups: Group-A : 20, 30, 40 Group-B : 35, 45 (a) How many possible permutations are there between the two groups?
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- Employees in the textile industry can be segmented as follows:Employees NumberFemale and union 12,000Female and nonunion 25,000Male and union 21,000Male and nonunion 42,000 Is this experiment collectively exhaustive? Explain.In recent year, 28 US States had one or more tribal gambling casinos. The following table presents the number of tribal gambling casinos in those states.3 2 26 70 2 2 87 3 4 3 22 39 314 7 3 21 8 2 11114 8 14 1 34 31 4 Find the 5-number summaryConstruct a boxplot for these data28) A study published in the American Journal of Public Health was conducted to determine whether the use of seat belts in motor vehicles depends on ethnic status in San Diego County. A sample of 792 children treated for injuries sustained from motor vehicle accidents was obtained, and each child was classified according to (1) ethnic status (Hispanic or non-Hispanic) and (2) seat belt usage (worn or not worn) during the accident. The number of children in each category is given in the table below. Seat belts worn Seat belts not worn Hispanic 31 283 Non-Hispanic 148 330 Referring to these data, which of the following conclusions should be reached if the appropriate ni hypothesis is conducted using an alpha = .05 level? Tuoria enolzubaos griwollet Jo bidw ,20, of A) There is no relationship between whether someone is Hispanic and whether they wear a seat da srli to nabreg neowisd qilarrodslets al sist bel B) The use of seat belts and whether a person is Hispanic or not is statistically…
- 2. An individua's present route to work results in, on average, 40 minutes of travel time per trip. An alternate route has been suggested by a friend, who claims that it will reduce the travel time. Suppose that the new route was tried on 10 randomly chosen occasions with the following times resulting: 44, 38.5, 37.5, 39, 38.2, 36, 42, 36.5, 36, 34 Do these data establish the claim that the new route is shorter, at the (a) 1 percent (b) 5 percent (c) 10 percent level of significance?26) A phycologist is interested in determining the proportion of algae samples from a local rivulet that belonged to a particular phylum. A random sample of 50 algae was obtained and each alga was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria. a) The proportion p that was cyanobacteria isA. 38B. 0.38C. 0.5D. 0.76E. 50 b) (Continue from the previous question),What is the standard error of the proportion p, i.e. S.E.(p), that were cyanobacteriaisA. 0.0036B. 0.0604C. 0.0684D. 0.1824E. None of the aboveSection of an oil field has been divided into 48 equal sub-areas. Counting the oil wells in the 48 sub-areas gives the following frequency distribution : Number of 0 1 2 3 4 5 6 7oil wellsNumber of 5 10 11 10 6 4 0 2sub-areasIs there any evidence from these data that the oil wells are not distributed randomly throughout the section of the oil field?
- 5What are the correct intermediate steps of the following data set when it is being sorted with the bubble sort? 14,21,17,11 O A 14,21,11,17 - 14,11,21,17 - 11,14,21,17 - 11,14,17,21 11,21,14,17 - 11,14,21, 17 - 11,14,17,21 O B. 14,17,11,21 - 14,11,17, 21- 11,14,17,21 %3D OC. OD 14,17,11,21 - 11,17,14,21 - 11,14,17,21 - 11,14,17,211. Suppose there are nine sections of Intro Stats with 25 students each. You ‘randomly’ choose two studentsfrom each section to use as asample. Which of the following results best describes this type of sample?A. a random, stratified sampleB. a simple random sampleC. a random, clustered sampleD. a non-random, systematic sampleE. a random, convenient sample 2. Suppose there are nine sections of Intro Stats with 25 students each. You place all 225 student’s namesin a hat and ‘randomly’ draw 30 student names to use as asample. Which of the following results bestdescribes this type of sample?A. a random, stratified sampleB. a simple random sampleC. a random, clustered sampleD. a non-random, systematic sampleE. a random, convenient sample 3. Assume the heights of students at College are normally distributed with a mean of 64.0 inchesand a standard deviation of 1.2 inches. Which of the following values best approximates the probabilityof randomly selecting aCollege student tallerthan 62.2…
- In a recent study, a scientist was interested in investigating whether there is a significant difference in the number of sleeping hours in different moon phases: waxing crescent, full moon, and waning crescent. Participants’ number hour of sleep were recorded in the table below. Quality of sleeps (in number of hours) Waxing Crescent Full Moon Waning Crescent 7 8 9 7 8 4 5 4 3 6 5 7 8 9 6 What are the groups being compared? That is, what are the levels of the IV? What is the IV? What is the level of measurement of the IV?10) Last school year, the student body of a local university consisted of 35% freshmen, 24% sophomores, 26% juniors, and 15% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen 90 Sophomores 60 Juniors 90 Seniors 60 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. The expected frequency of seniors is a. 45 b. 35 c. 65 d. 55An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5 Suppose it makes sense to conduct a post-hoc analysis. We will use Tukey's test to make pairwise comparisons between means. The decision rule for Tukey's test would be as follows: "Reject H0 if |qc|>q0.10,K,L=M . Otherwise, fail to reject H0." 1. What is the value for the number of…