1. At NYU there is currently a problem that only 60 percent of the freshman graduate from NYU in 6 years. That means 40 percent leave the school before graduation. This is a relatively high number compared to some other schools. This is in spite of NYU being one of the best schools in the country in placing students into high-income jobs.

a. In your opinion, why do so many students leave NYU before graduation?

b. Using the idea of nudging, come up with three ways (and explain them) that NYU could nudge students to stay at Pace.

Suppose we know that at a University XYZ that 15% of students receive an A in their introductory statistics class, 20% receive a B, 30% receive a C, 10% receive a D, and the rest receive an F. For comparison, a sample of 260 students at University ABC is taken and 20% received an A, 25% received a B, 25% received a C, 10% received a D, and the remaining students failed the class. When testing (at the 5% level of significance) whether the proportions between the two universities are different, what is the critical value? (please round your answer to 3 decimal places)

Based upon extensive data from a national high school educational testing​ program, the mean score of national test scores for mathematics was found to be 605 and the standard deviation of national test scores for mathematics was found to be 98 points. What is the probability that a random sample of 196 students will have a mean score of more than 610? Less than 591​?

a) The probability that a random sample of 196 students will have a mean score of more than 610 is ?

b) The probability that a random sample of 196 students will have a mean score of less than 591 is ?

Large Sample Proportion Problem. A survey was conducted on high school marijuana use. Of the 2266 high school students surveyed, 970 admitted to smoking marijuana at least once.  A study done 10 years earlier estimated that 45% of the students had tried marijuana. We want to conduct a hypothesis test to see if the true proportion of high school students who tried marijuana is now less than 45%.   Use alpha = .01.
What is the critical value for this test?

Group of answer choices

-1.96

-2.576

-2.33

2.33

A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information. Today Five Years Ago x̄ 82 88 σ2 112.5 54 n 45 36

The 95% confidence interval for the difference between the two population means is

A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school's students, 33% of them plan to go into general practice. Using a 0.05 significance level, test the claim that more than 28% of the medical school’s students plan to go into general practice.

a) Write the null and alternative hypotheses.

b) Determine the P-value.

c) Should you Reject H0 or Fail to reject H0?

d) Write a sentence to state your final conclusion.

A) An Olympic archer is able to hit the bull’s eye 80% of the time. Assume each shot is independent of the others. She will shoot 6 arrows. Let X denote the number of bull’s eyes she makes.

Find the mean of the probability distribution of X. Do not round

B) The GPA of students at a college has a mean of 2.9 and a standard deviation of 0.3. Scores are approximately normally distributed.

Suppose that the top 6% of students are eligible for the Honors Program. Find the GPA which is the cutoff score for students to qualify for this program. Round to the nearest hundredth.

read the following descriptions of hypothetical studies. Explain whether each is an experiment, non-experiment, or quasi-experiment and state why for identifying, and for explanation). 5. To test whether phone use decreases academic success, a professor compares the grades of students who have used their phones in class to those of students who have never used their phones in class. 6.Belk Gym gives out surveys to students who use the facilities during the month of January to find out how satisfied they feel with the gym and the work out classes offered.