The university in order to increase their graduates’ MFT exam score has transitioned to requiring a full year of statistics instead on one semester. Two random samples were taken.   Sample One has 59 of this year’s students (the ones that needed to have a full year of stats) has the MFT Their average stats score was 525 with a sample standard deviation of 25. The other sample of students came from last year when the students only needed to have taken 1 semester of stats. Their average score of these 50 students was 505 with a sample standard deviation of 25.   Construct the 95% confidence interval showing the improvement in MFT scores that comes from increasing the stats requirement.

Logan and Brian began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Logan took a test in Art History and earned a 76.8, and Brian took a test in English and earned a 68.9. Use the fact that all the students' test grades in the Art History class had a mean of 71.9 and a standard deviation of 11.6, and all the students' test grades in English had a mean of 61 and a standard deviation of 9.4 to answer the following questions.a) Calculate the z-score for Logan's test grade.z=z= [Round your answer to two decimal places.] b) Calculate the z-score for Brian's test grade.z=z= [Round your answer to two decimal places.]c) Which person did relatively better? Logan Brian They did equally well.

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.

The honors program at Brad's university only accepts students with an entrance exam score over 400. What percentage of students would be eligible if the students at Brad's school have an average exam score of 250, with a standard deviation of 80?

Word-e and Talk2U are two social media apps in which users can post messages in text. The character counts for posts on Word-e have a population mean of 96 and a standard deviation of 15. The character counts for posts on Talk2u have a population mean of 355 and a standard deviation of 39. For each.app, the distribution of the character counts is clearly bell-shaped Trey's last post on Word-e was 145 characters. Ryan's last post on Talk2U was 251 characters. (a) Find the z-scores of Trey's last post as a post on Word-e and Ryan's last post as a post on Talk2U. Round your answers to two decimal places. z-score of Trey's post: z-score of Ryan's post: (b) Relative to its population, which post was shorter? Choose the best answer based on the z-scores of the two posts. O Trey's post O Ryan's post O It is unclear which post was shorter relative to its population Explanation X X 5 Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility P B

I wanted to test if the mean Exam 3 score in this course was different than the mean Exam 2 score. I then did a different test than the previous questions. I instead used the 30 students in my course last semester as my sample for Exam 3, and I used a sample of 25 students from this class as my sample for Exam 2. The sample mean score for Exam 2 was 84.0 with a standard deviation of 2.0, and the sample mean score for Exam 3 was 82.0 with a standard deviation of 1.8. What is the t-value used in the 95% confidence interval for the mean difference between Exam 2 and Exam 3? Group of answer choices 2.045 2.064 2.042 2.060