Entry to a certain university is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Tom wants to be admitted to this university and he knows that he must score better than at least 70% of the students who took the test. Tom takes the test and scores 565. Will he be admitted to this university?
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- Kyle and Caleb began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Kyle took a test in Math and earned a 73.9, and Caleb took a test in Art History and earned a 70.5. Use the fact that all the students' test grades in the Math class had a mean of 73 and a standard deviation of 9,4, and all the students' test grades in Art History had a mean of 62 and a standard deviation of 10.3 to answer the following questions. * a) Calculate the z-score for Kyle's test grade. = 2 b) Calculate the z-score for Caleb's test grade. c) Which person did relatively better? O Kyle O Caleb O They did equally well. MacBook Pro 00 000 esc F4 F5 F6 F7 F1 F2 F3 24 4 %23 tab caps lock C2The first statistics exam had a mean of 73 and a standard deviation of 15 points; the second had a mean of 83 and a standard deviation of 5 points. Anna scored a 82 on both tests. Megan scored 92 on the first exam and 7272 on the second. They both totaled 164 points on the two exams, but AnnaAnna claims that her total is better. Explain. Question content area bottom Part 1 The total of Anna's z-scores is enter your response here, which is greater than Megan's total of enter your response here. (Round to one decimal place as needed.)Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Tom wants to be admitted to this university and he knows that he must score better than at least 80% of the students who took the test. Tom takes the test and scores 595. Will he be admitted to this university?
- Imagine you were chosen as the coach of the Philippine National Men's Basketball team. You have to choose the last player to be included in the roster. You have to choose between two players. The two players have basically the same characteristics whether physical or actual game statistics. They have the same age, height, weight, wingspan, average points, rebounds, assists, steals, and blocks per game. Their only difference lies in the standard deviations for their points per game. Player 1 has a standard deviation of 5 while Player 2 has a standard deviation of 10. Who would you choose and why? 5 sentencesNeil scored 67 on his calculus class final and was devastated by his failing grade. His class distribution had a mean of 54 and a standard deviation of 7. Greg was quite proud of his score of 88 for his Spanish language class. His class distribution had a mean of 97 with a standard deviation of 6. Who did better relative to their class?Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?
- An incoming MBA student took placement exams in economics and mathematics. In economics, she scored 82 and in math 87. The overall results on the economics exam had a mean of 71 and a standard deviation of 7, while the mean math score was 69, with a standard deviation of 10. On which exam did she do better compared with the other students? Since she scored standard deviations V the mean in economics and standard deviations V the mean in mathematics, she did better on the exam. (Round to two decimal places as needed.)George has an average bowling score of 180 and bowls in a league where the average for all bowlers is 150 and the standard deviation is 20. Bill has an average bowling score of 190 and bowls in a league where the average is 160 and the standard deviation is 15. Who ranks higher in his own league, George or Bill? George because his standard score is higher than Bill's. Bill because his standard score is higher than George's. George because the standard deviation in his league is higher than the standard deviation in Bill's league. Bill because his 190 is higher than George's 180. Bill and George have the same rank in their leagues because both are 30 pins above the meanFind the value of the standardized test statistic.
- grade was 74 and the standard deviation was 12. She received a grade of 72 on her biology exam, where the mean grade A student Pat was done taking midterms. She received a grade of 82 on her statistics exam, where the mean grade was 88 and the standard deviation was 6. In what class did Pat relatively score better? Explain. Give answers to was 65 and the standard deviation was 10. Lastly, she received a grade of 91 on her kayaking exam where the mean 2 decimal places as needed.Joe went bowling in two leagues. In the first league, the mean bowling score is 167 with a standard deviation of 44. In the second league the mean bowling score is 180 with a standard deviation of 36. If he bowls a game of 201 in both leagues, in which league is this score the best in comparison to other bowlers? Explain.A business school dean in Ohio wants to know if graduates who completed an internship during their undergraduate years earn more than business undergraduates who do not complete an internship while in college. Based on national survey from 1,500 business alumni with less than six years of work experience, they earn on average $50,970 with a standard deviation of $12,976. Business alumni from the Ohio school who completed internships on average earned $53,497. The dean wants you to be 96% confident in your results. a. State in statistical terms the null and alternative hypotheses. b. Determine the appropriate test statistic (z or t). c. Determine the critical value(s). d. Compute the test statistic. e. Make a decision on the hypotheses. (which hypothesis is correct?) f. Determine the p-value for the test statistic.