The college of science at a particular university has 286 alum in a given year. Each of them are sent asurvey after they graduate, and 26 of them are returned. The survey asks many things, chiefly among themhow prepared they feel enterring the real world upon graduation. The results (on a scale of 1-10) show anaverage of 7.6 with a standard deviation of 2.2. Is there significant evidence to conclude that the scores ofthese recent graduates is different from 7 at the 0.01 significance level? Note that there's evidence thatthis distribution is symmetric.What are the hypotheses?Ho: µ < 7 vs H1:µ > 7H0:μ# Ίνs Η: μ =7Ho :µ = 7 vs H1 : µ #7Ho:µ < 7 vs H1 :µ 2 7What is probability statement for the p-value?P(Z > test statistic)P(T > test statistic)2P(Z test statistic)2P(T test statistic)None of the aboveIf the p-value were to be 0.001, state and justify your decision.Accept Ho because the p-value > a.Fail to reject Họ because the p-value < a.Accept Ho because the p-value < a.Reject Ho because the p-value < a.Fail to reject H, because the p-value > a.Reject Ho because the p-value > a. 2P(Z + test statistic)2P(T + test statistic)None of the aboveIf the p-value were to be 0.001, state and justify your decision.Accept Ho because the p-value > a.Fail to reject Họ because the p-value < a.Accept Ho because the p-value < a.Reject Ho because the p-value < a.Fail to reject H, because the p-value > a.Reject Ho because the p-value > a.conclude that the average response score of7.The correct conclusion is that werecent graduates isWhat level of concern do you have for the validity of your results?Valid -while the sample size is less than 30, the symmetry in the distribution means this isn't aconcernQuestionablethere is likely to be some nonresponse biasQuestionablethere is likely to be some response bias and n < 30Questionablethe sample size is less than 30Questionablethere is likely to be some nonresponse bias and n < 30Questionablethere is likely to be some response bias

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose you've just been hired as a statistics professor, but you've never taught undergrads before. While you're doing your best, you're not sure you're fully up to par with all the other excellent statistics professors out there. You decide to look at your 41 students' grades on their midterm exam. They averaged grades of 81 on this exam, with a standard deviation of 10. You reason that if they're higher than normal, you might be making things too easy for them. Likewise, if they're lower than normal, you might be making things too hard. Seeking a Goldilocks effect, you compare this with the national average of statistics midterm exam scores - this is 79. BEING SPECIFIC, what kind of statistical analysis should you perform, and WHY? Three parts of your answer will factor into the grade on this answer: the type of statistical test, one specific aspect of this test (hint- see the earlier questions), and your explanation as to why.
In a research study, conducted by the National Institute of Health, 25 individuals were sampled measuring their triglyceride levels. If the distribution of triglyceride levels for 25 to 55 year old females has a mean of 211 mg/dl and a standard deviation of 46 mg/dl, what is the probability that our sample mean will be above 240?
He can we answer?
SWC surveyed its students and measured the extent of their tendency to conform to others on a scale of 1 to 10. Higher scores indicate a higher tendency to conform. The mean score for students at the college was 6 with a standard deviation of 2. Professor Hayashi believes his students are very independent. He measures the conformity of his students on the same scale to see if they differ from the college. The following scores are the conformity scores of the sample of students: 4 7 5 4 3 10 7What proportion of random samples of students from the population can we predict will have a conformity above 5.5?
Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 77 and 2 respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 74. Compute the trainee's z-score. O A. z = -0.94 OB. z = -1.50 O C., z = 0.94 O9 z = 1.50
On the PSAT test taken by about 1.5 million high school juniors each year, the mean score on the reading portion of the test was 46.9, with a standard deviation of 10.9. The scores are normally distributed. If a student needed a score on this portion of the test that put them in the top 5% of scores nationally to qualify for a particular scholarship, what is the minimum score they must achieve?
SWC surveyed its students and measured the extent of their tendency to conform to others on a scale of 1 to 10. Higher scores indicate a higher tendency to conform. The mean score for students at the college was 6 with a standard deviation of 2. Professor Hayashi believes his students are very independent. He measures the conformity of his students on the same scale to see if they differ from the college. The following scores are the conformity scores of the sample of students: 4 7 5 4 3 10 7What proportion of random samples of students from the population can we predict will have a conformity mean below 3?
An English teacher has been teaching a sixth grade composition class for many years. He has the feeling that over the past several years, the writing ability of students has changed. A national test of proficiency in composition was administered 5 years ago. The resulting distribution of scores was normally shaped, had a mean of 85 and a standard deviation of 10.9. In order to test his feeling, he gives his present class of 43 students the same proficiency test. The resulting mean is 80 and the standard deviation is 8.7. a. What is the alternative hypothesis? b. What is the null hypothesis? c. What is your conclusion, using á = 0.052 tail? d. What type error may you be making because of your conclusion in part c?
Dr. Jill Biden has been teaching a seventh grade English composition class for many years. She has the feeling that over the past several years, the writing ability of students has changed. A national test of proficiency in composition was administered 5 years ago. The resulting distribution of scores was normally shaped, had a mean of 85 and a standard deviation of 10.9. In order to test his feeling, she gives her present class of 43 students the same proficiency test. The resulting mean is 80 and the standard deviation is 8.7. a. What is the alternative hypothesis? b. What is the null hypothesis? c. What is your conclusion, using an alpha of 0.05 (2 tailed). d. What type of error might you be making because of your conclusion in part c?
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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.

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