The registrar at Eastern University studied the grade point average (GPA's) of its students. The GPA's are normally distributed with a mean of 2.8 and a standard deviation of 0.4. (a) What percentage of students a have a GPA between 2.2 and 3.7? (2 decimal places) AnswerD (b) What percentage of students a have a GPA between 2.8 and 3.7? (2 decimal places) Answer= (c) What percentage of students have a GPA of 3.7 or higher? (2 decimal places) Answer= (d) Any student with a GPA of 3.7 or higher makes it on to the Dean's list. If 305 students are on the Dean's list, how many students are there at Eastern University? Answer= Students (e) Approximately what percentage of students have a GPA below 1.0? 05% 010% 00%

The mean SAT score for 13 male highschool students is 500 and the standard deviation is 100. the mean SAT score for 16 female highschool students is 490 and the standard deviation is 80. At a=.05 are male SAT scores higher than female SAT scores? (a=.05)

Most medical schools require applicants for admission to take the Medical College Admissions Test (MCAT) examination. Scores on the MCAT are roughly normally distributed with a mean of 500 and a standard deviation of 10.6. What percentage of students score above 518 points? ( write as a decimal and round to the nearest hundredth)

Suppose that water usages in American showers are normally distributed, with an average shower using 20 gallons, and a standard deviation of 3.2 gallons. Estimate the percentage of showers that used (a) between 13.6 and 26.4 gallons. % (b) more than 26.4 gallons. % (c) less than 10.4 gallons. % (d) between 16.8 and 29.6 gallons. %

In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test had a mean score of 230 with a standard deviation of 23. Assume the scores are normally distributed. Find the probability that a student had a score higher than 285.

Jeff is doing an experiment involving mice. The mice weights have mean weight 2.37 ounces and standard deviation 0.053 ounces. Jeff selects 9 mice independently and calculates the sample mean, x̄, of their weights. What is the standard deviation of x̄?

Cotinine levels were measured in a group of non-smokers exposed to tobacco smoke (n =40), the mean of the sample was 60.58 ng/Ml and the standard deviation was 138.08 ng/Ml. Also, cotinine levels were measured in a group of non-smokers not exposed to tobacco smoke(n =40), the mean of the sample was 16.35 ng/mL and the standard deviation was 62.53 ng/mL. Cotinine is a metabolite of nicotine, meaning that when nicotine is absorbed by the body, cotinine is produced. Use a 0.05 significance level to test the claim that non-smokers exposed to tobacco smoke have a higher mean nicotine level than nonsmokers not exposed to tobacco smoke. a)Define the parameter and state null and alternative hypothesis b)Test Statistics c) Critical Value Approach d) Conclusion

2000 freshmen at state university took a biology test. the scores were normally distributed with a mean of 70 and a standard deviation of 5. Use z scores. (1) the percent of students that scored less than 77

Exam scores in a large class are normally distributed with a mean of 55 and standard deviation of 10. The teacher decides to boost the scores by adding 20 points to everyone’s score.  Elizabeth’s original score on the exam was 75, so her new score is 95. The z-score corresponding to her new score (relative to the other new scores) will be:

Joe's average bowling score is 181, and is normally distributed with a standard deviation of 34. What z-score corresponds with a bowling score of 227 points?