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- Select the correct response. For a research study, there are five options for the first question, four options for the second question, and three options for the third question. Using a list, there would be outcomes for the sample space. For a similar study, if there are only four options for the first question, the sample space would have outcomes.Students in two elementary school classrooms were given two versions of the same test, but with the order of the questions arranged from easier to more difficult in version A and in reverse order in version B. Randomly selected students from each class were given version A and the rest given version B. The results are Version A:n1=31,x¯1=83,s1=4.6Version B:n2=32,x¯2=78,s2=4.3 Use a 0.01 significance level to test the claim that Version A is easier than version B.(Make sure you have the four steps shown similar to the examples that I gave) Assume that the two independent samples have been randomly selected from normally distributed populations. Instruction: 1) Must contains 4 steps as shown on the instructor's video. 2) Must identify whether the null hypothesis or the alternative hypothesis is the claim. 3) When doing the calculation, do not calculate standard error. 4) When finding the p-value, must show whether it is left-, right-, or two-tailed. 5) When drawing conclusion, must…Agnes Hammer is a senior majoring in management science. She has been interviewing with several companies for a job when she graduates, and she is curious about what starting salary offers she might receive. There are 140 seniors in the graduating class for her major, and more than half have received job offers. She asked 12 of her classmates at random what their annual starting salary offers were, and she received the following responses: $28,500 $35,500 32,600 36,000 34,000 25,700 27,500 29,000 24,600 31,500 34,500 26,800 Assume that starting salaries are normally distributed. Compute the mean and standard deviation for these data and determine the probability that Agnes will receive a salary offer of less than $27,000.
- A statistics instructor would like to know whether it is worthwhile to require students to do weekly homework assignments. For Section1 of the course, homework is assigned, collected and graded each week. In Section2, students are not required to turn in homework. At the end of the semester, the students are given the same final exam. In Section1, the numbers of students getting each grade are: 16 students got A, 22 students got B, 8 students got C, and 4 students got D. In Section2, the numbers of students getting each grade are: 8 students got A, 18 students got B, 18 students got C, and 6 students got D. Is there an association between assigning homework and exam grade? Test at the alpha = 0.05 level. a. We reject the null hypothesis with two-tailed critical values; there is an association between assigning homework and exam grade. b. We reject the null hypothesis with one-tailed critical value; there is an association between assigning homework and exam…A local television station sent out questionnaires to determine if viewers would rather see reruns of Supernatural, The Walking Dead, or Game of Thrones. There were 100 responses with the following results: 33 were interested in Supernatural 42 were interested in The Walking Dead 44 were interested in Game of Thrones 10 were interested in Supernatural and The Walking Dead 9 were interested in Supernatural and Game of Thrones 15 were interested in The Walking Dead and Game of Thrones 8 were interested in all three. a. Draw a Venn Diagram and label fully. b. How many viewers wanted to see reruns of Supernatural and Game of Thrones but not the Walking Dead?Suppose that in a survey of five-year-olds, 45% liked the letter A, 54% liked the letter B, and 50% liked the letter of C. 29% liked A and B, 28% liked A and C, 29% liked B and C, and 15% liked all of them. What percentage liked A and B but not the letter C?
- Q6 How many different ways are there to select a group of 4 out of 6 people for a cyber-sport team with 4 distinct roles?Suppose you are the manager of two beachfront hotels : The Palms and Golden Sands. You'd like to know if there is a difference in guest satisfaction between the two hotels. To investigate this, you conduct a survey and ask guests upon departure if they are likely to return to the hotel in the future. For The Palms, 163 out of 227 guests who were surveyed responded " yes ". For Golden Sands, 154 out of 262 guests responded "yes ". Answer the following questions. Round any numbers in your final answers to 2 decimals. 1) Calculate a 95 % confidence interval for the difference in satisfaction rates between The Palms and Golden Sands (Show work) 2) Use the critical value approach to test, at a 1% significance level, whether or not the guest satisfaction rates are different between the two hotels. What do you conclude ? (In your answer, show the steps involved with testing) 3) What is the p-value of your test in part 2?Choosing four people at random from the US population and none of them having diabetes, if 8.3% of the population has diabetes?
- In a series of studies, Sebastian Deri and his colleagues (2017) asked multiple groups about the number of friend groups they had and how often they attended different social events. They then asked participants how they thought their own numbers compared to other people's: Did participants see themselves as less social, the same as, or more social than others? In the first study, the researchers reported that: "Three hundred four participants from Amazon's Mechanical Turk (150 women; Mage = 37.1; 78% White, 10% Black, and 6% Asian) completed a survey in exchange for modest payment" (p. 860). What do the researchers mean by "Amazon's Mechanical Turk" with respect to their sample of participants? O A. An archival data set that already exists and from which researchers can use data O B. An online tool that researchers can use to recruit people to participate in research in exchange for a small payment O C. An e-book sold by Amazon that includes contact information for possible…When taking a 18-question multiple-choice test, where each question has 4 possible answers, it would be unusual to get ______ or more questions correct by guessing alone.You want to stimulate an experiment to draw cards out of a deck. You plan to draw 35 cards (with replacements) and list which cards you drew. How many times would you expect to draw a face card