The number of incoming students at two campuses of a midwestern university have historically been normally distributed. The main campus incoming class has a mean of
3,122 and a standard deviation of 300, and the regional campus incoming class has a mean of 730 and a standard deviation of 113
if there were 3,537 incoming students on the main campus and 828 on the regional campus, which had the more successful year in student recruitment based on z scores?
| The score for the main campus is _____ |
Round the answers to at least two decimal places.
The number of incoming students at two campuses of a midwestern university have historically been normally...
An administrator at a college claims that the mean SAT Mathematics score of incoming students is 520. You find that in a random sample of 45 incoming students, the mean SAT Mathematics score is 511 with a standard deviation of 48.65. Assume the population of scores are normally distributed. Suppose you perform a hypothesis test to determine whether the mean SAT Mathematics score of incoming students is less than 520. What is the P-value for this hypothesis test? Round the...
In a university final examination, the scores of students are normally distributed. The examination is scaled so that the Mean is 72 and the Standard Deviation is 18. What fraction of the students throughout the university should score between 72 and 99? Group of answer choices
During an orientation event at a large university, incoming students are advised about the cost of textbooks for a typical study period. A sample of 100 students currently enrolled at this university indicates a sample mean cost of $315.40. A population standard deviation is known to be $43.20. (a) (8 marks) Construct a 95% confidence interval for the true population mean cost of textbooks. Explain what the values you have calculated mean. Provide a diagram (a template is available on...
Suppose GRE Verbal scores are normally distributed with a mean of 461 and a standard deviation of 124. A university plans to recruit students whose scores are in the top 12% . What is the minimum score required for recruitment? Round your answer to the nearest whole number, if necessary.
The average GRE score at the University of Pennsylvania for the incoming class of 2016-2017 was 311 with a standard deviation of 13.5. If you select a random sample of 60 students, what is the probability that the sample mean will be less than 314? Round your answer to three decimal places.
A professor at a local university noted that the grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. Answer the following questions rounding your solutions to 4 decimal places. The professor has informed the class that 7.93 percent of her students received grades of A. What is the minimum score needed to receive a grade of A?
Students across the U.S. take the ACT test, which has scores that are normally distributed with a mean of 21 with a standard deviation of 5. If 250 students are randomly selected, what is the probability that at least 15 of them will score a 29 or better? A small college has an entering freshmen class of 600 students. Of these, 240 have brought their own personal computers to campus. A random sample of 110 entering freshmen was taken. What...
It is reported that the ACT scores of freshman students at NMSU is approximately Normally distributed, with mean of 20.5 and standard deviation of 5.1. (1) (3pts) If the university decides to offer a scholarship to the top 2% of students, how high does a student need to score on ACT test to qualify for that scholarship? (No points will be given without proper steps) (2) (3pts) A math class has 20 freshmen enrolled. If we assume the 20 freshmen...
Suppose that distribution of Math SAT scores for incoming freshman at Etown has a mean of 535 and a standard deviation of 30. What is the probability that the average Math SAT score in a class containing 35 students is between 500 and 550?
Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 69.3 and a standard deviation of 29.45. (a) What percentage of students taking the test had scores between 60 and 80? (Round your answer to one decimal place.) % (b) At what score was the rate of change of the probability density function for the scores a maximum?
Scores on a 100-point final exam administered to all...