In a certain university, a student can qualify for a masteral degree program in Business Administration if his mental ability is included in the top 20% of his class. If the test scores is normally distributed with mean of 175 and standard deviation of 20, what is the lowest possible score that an applicant must get in order to qualify in the program
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In a certain university, a student can qualify for a masteral degree program in Business Administration if his mental ability is included in the top 20% of his class.
If the test scores is
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- Let X be a random variable having distribution function F given by a 1. F(x) = 1 (a) Graph F. (b) Find P(1/4 < X < 1/2). (c) Find P(1/4 < X < 1/2). (d) Find P(3/8 < X < 3/4). (e) Find P(3/8After post-graduate study, Mike found a job as HR analyst in London. The company is currently recruiting Chief Marketing Officer. The HR department recently sent out a knowledge test to the applicants after the initial CV screening. At this stage of selection, the company does not invite the lowest scoring 30% back for the next face-to-face interview. According to the historical data, the test scores on this test are normally distributed and has a mean of 70 with standard deviation of 10. What mark (to the nearest whole number) must a candidate achieve in order to secure an interview? 2. How much is the 95% confidence interval for the test scores?In order to be accepted into a certain top university, applicants must score within the top 5% on the SAT exam. Given that the exam has a mean of 1000 and a standard deviation of 200, what is the lowest possible score a student needs to qualify for acceptance into the university?Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council's GMAT examination. Scores on the GMAT are roughly normally distributed with a mean of 527 and a standard deviation of 112. If a prestigious business school will only take those students who score in the top 5%, what score would you need to have to be accepted? You would need a score of or higher (round to the nearest whole number)A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the mean SI score, μ, for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 85 and that the standard deviation is 15, but the psychologist has good reason to believe that the value for the mean has changed. She plans to perform a statistical test. She takes a random sample of SI scores for smokers and computes the sample mean to be 75. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? μ x H₁ : ☐ H₁:0 □<ロ □ㄨˇ OA nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Utah and Oregon. Due to recent trends in the childcare industry, the firm suspects that the mean annual income of childcare workers in Utah is less than the mean annual income of childcare workers in Oregon. To see if this is true, the firm selected a random sample of 20 childcare workers from Utah and an independent random sample of 20 childcare workers from Oregon and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars 27060 , 42320 , 36445 , 37895, 44564 , 35325 , 30313 , 28698, 33706 , 48365 , 26946 , 25063 , 28339 , 29265 , 40051 , 37026 , 40150 , 42753 , 27820, 39471 Utah 29769 , 48859 , 32480 , 36288,45102 , 46219 ,51098 , 45516 , 38834 , 44659 , 40755 , 38006 , 39947 , 29801 , 32200, 38731 , 41370 , 28059 , 33753 , 35271 Oregon Send data to calc... v Send data to Excel The population standard deviation for the annual incomes of…Suppose Professor Alpha and Professor Omega each teach Introductory Biology. You need to decide which professor to take the class from and have just completed your Introductory Statistics course. Records obtained from past students indicate that students in Professor Alpha's class have a mean score of 80% with a standard deviation of 5%, while past students in Professor Omega's Class have a mean score of 80% with a standard deviation of 10%. Decide which instructor to take for Introductory Biology using a statistical argument.A researcher wants to know if men have a lower anxiety level than women in response to social rejection. The researcher brings 9 men and 16 women into a lab. He tells them all to write about a time they were socially rejected and he then measures their levels of anxiety using a 0-100 scale. The mean anxiety for men (A) was 81.67 with a standard deviation of 8.78. For women (B), he obtained a mean of 85.69 with a standard deviation of 4.8. A). What is the type of test you will use? (z-test, single-sample t-test, paired-samples t-test, or independent samples t-test) and why (what information provided in the problem) B). What are the hypotheses (Be Specific)Colleges announce an "average" SAT score for their entering freshmen. Usually the college would like this "average" to be as high as possible. A NewYork Times article noted, "Private colleges that buy lots of top students with merit scholarships prefer the mean, while open-enrollment public instituions like medians." Use what you know about the behavior of means and medians to explain these differences.make up 2 data sets, each with 5 values, that have the same mean and median, but different standard deviations.Nintendo is doing a classic game competition for the anniversary of Super Mario Bros. The average runtime for a straight playthrough is 1 hour and 58 minutes (with a standard deviation of 6 minutes). Out of all of the players who compete in this competition (120 players), the fastest 10% will get a chance at a special reward. What would be the benchmark playthrough time for this competition?Lucille, Rocio, and Cristina are all taking College Mathematics but from different professors. They all recently took a statistics exam and the exam scores were normally distributed in each of their classes. • Lucille's class had an average grade of 78 and the standard deviation was 7. Lucille earned 83.95 on the exam. • Rocio's class had an average grade of 82 and the standard deviation was 3. Rocio earned 86.5 on the exam. • Cristina's class had an average grade of 76 and the standard deviation was 4. Cristina earmed 82.8 on the exam. Since some professors give harder exams than others, these students decided to use statistics to figure out who did the best on their exam. Use the Cumulative Z-Score Table to answer the following questions. Write your answers as a percent with two decimal places. Hint • Lucille's score places her above % of her class. • Rocio's score places her above % of her class. • Cristina's score places her above % of her class.SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON