Two seemingly equally excellent students are vying for an academic honor where only one must have to be chosen to get the award. The following are their grades used as basis for the award: (8 points) Kathlyn : 91, 90, 94. 93, 92 Renier 92, 92, 90, 94, 92
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- To receive a C grade, a student must average more than 77 but less than or equal to 85. If Noah received a C in the course and had five grades of 73, 85, 73, 69, and 78 before taking the final exam, what were the possible grades for his final if there were 100 points possible? (Assume all six grades are weighted equally and let x represent the unknown score.)A researcher knows from decades of past research that scores on IQ tests have an average μ = 100. The researcher collects a sample of students from their own university and wants to know if the students they are studying are smarter than the average person based on past research. What test will they use to evaluate their hypothesis?At the end of a rock concert, representatives of the featured performer randomly selected 50 of the attendees and had them fill out a survey that asked them if they had a positive, negative, or neutral impression of the performer's latest song. The performer's representatives then tabulated the results and concluded that exactly 82% of those surveyed had a positive impression of the song, exactly 8% had a negative impression, and exactly 10% had a neutral impression. Which of these was most likely the purpose of the survey? A. To estimate the percentages of all rock music fans who have a positive, negative, and neutral impression of the song. B. To estimate the percentages of all the performer's fans who have a positive, negative, and neutral impression of the song. C. To determine the exact percentages of all rock music fans who have a positive, negative, and neutral impression of the song. D. To determine the exact percentages of all the performer's fans who have a positive,…
- A Company is planning a Children’s Christmas party for their 750 employees.Base on the survey responses they have 526 who indicated that they have girls and342 indicating that that have boys.From the survey how many possible employees have both boys and girls,if 75 employees did not do the survey?The television show Lett3rs has been successful for many years. That show recently had a share of 19, which means, that among the TV sets in use, 19% were tuned to Lett3rs. An advertiser wants to verify that 19% share value by conducting its own survey, and a pilot survey begins with 10 households have TV sets in use at the time of a Lett3rs broadcast. If at most one household is tuned to Lett3rs, does it appear that the 19% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Lett3rs unusual?) A. no, it is not wrongB. yes, it is wrongA foreign car manufacturer advertises that its newest model, the Bullet, rarely stops at gas stations. In fact, they claimed that its EPA rating for highway driving is at least 32.5 mpg. However, the results of a recent independent study determined the mpg for 50 identical models of the Bullet, with these results: n = 50, x= 30.4 mpg, and s = 5.3 mpg.This report failed to offer any conclusion, and you have been asked to interpret these results by someone who has always felt that the 32.5 figure is too high. What would be your conclusion using a significance level of 5%?Z = 1.645
- Suppose you have a group of fourth graders and a group of eighth graders, and you want tocompare the average amount of sleep per night, in hours, for the fourth graders vs. eighth graders.Which is the most appropriate test to use?A lecturer is interested in studying the pass rate of their module. In a particular year, 20 students sit the module and 3 students fail.Researchers wanted to determine whether fence lizards learned to avoid fire ants. To determine this, they gathered lizards from eastern Arkansas (where there were no fire ants), and from southern Alabama (which had been invaded by fire ants). The lizards were then exposed to fire ants, and researchers measured how long (in seconds) it took the lizards to flee. The researchers observed that the lizards from Alabama had an average response time of 32 seconds, and the lizards from Arkansas had an average response time of 44 seconds. Using this, which of the following is closest to the P-value for this hypothesis test? Choice 1:0.5 Choice 2:0.005 Choice 3:0.05 Choice 4:1 Choice 5:0.01 Which is the correct choice and why?
- Q6 How many different ways are there to select a group of 3 out of 7 people for a cyber-sport team with 3 distinct roles?A local jam production company is confident that 60% of the population will like its new grapefruit jelly. (i) If 200 persons taste the new grapefruit jelly, determine the number of persons who are expected to like it. [2](ii) From a random sample of 10 persons who tastedA music professor offers his 40 students the option of coming to an additional rehearsal session theweek before their juries (musical final exams.) In order to decide whether these extra sessions actuallyhelp students, he keeps track of who attends them and compares their jury scores to those of students who did not schedule extra sessions. In this study, a difference was found between the scores of students who scheduled the extra sessions and those of students who didn't attend(higher average for students with extra sessions) A) Yes, becuase the study relied on a common final exam fro everyone B)No, because the students chose whether they attended the review session or not C) Yes becuase the study included both students who attned the review session and those who did not D)Yes, becuase the number of subjects in the study was large E)No, becuase the students in the study were not blinded