A study was done to determine whether FSU transfer students had a lower retention from the rate of the average US student retention rate of 71%. Of the 120 FSU transfer students tracked, 84 eventually received their bachelor's degree. What can you conclude at a=0.01? a) state the null and alternate hypothesis: b) What is the value for the point estimator of students' retention rate: c) Test statistic: Provide formula and substitute values only, do not calculate d) The P-value for this test was reported as p=0.35, give a conclusion and explain it in simple non-technical terms in context of the problem.

In an examination the probability distribution of scores (X) can be approximated by normal distribution with mean 64.9 and standard deviation 9.4.

Suppose one has to obtain at least 55 to pass the exam. What is the probability that a randomly selected student passed the exam? [Answer to 3 decimal places]

If two students are selected randomly what is the chance that both the students failed? [Answer to 3 decimal places]

If only top 4% students are given an award, then what was the minimum marks required to get the award? [Answer to 1 decimal place]

Let X be the number of students who attend counseling at a certain time of day. Suppose that the probability mass function is as follows p (0) = .15, p (1) = .20, p (2) = .30, p (3) = .25, and p (4) = .10. Determine:

a) Is this a valid probability mass function? Why?

b) Obtain the cumulative probability function

c) What is the probability that at least two students come to counseling

d) What is the probability that, from one to three students, inclusive, they will come to counseling e) Obtain the average and standard deviation of the probability function. Interpret your results.

Imagine our population of interest is all of the students who took a statsquiz. The average quiz score from all of the students in the class was 85 and the variance was 5. Imagine we could select several different samples from this population of 85 students. What would the standard deviation of the sampling distribution of the mean be for N=5?

A set of phones are normally distributed with a mean of 900 dollars and a standard deviation of 70 dollars. What proportion of phone prices are between 650 dollars and 925 dollars?

If the score variance were 40 and the error variance were 22, then the reliability would be?

Suppose that, after completing your MBA, you are offered a job as a management consultant in a firm specialized in engagement and productivity. One of your first assignments is related to the education sector. specifically working with a large university. The overall goal of the project you're managing is to identify and enhance motivational factors of students in a well-known university. The purpose is to help improve student motivation and learning engagement to help students reach their goal of degree completion. Because you have recently finished your studies, you feel you have a good understanding of the elements that motivate and de-motivate students.

You’re a researcher looking at whether or not applicants are accepted to a prestigious law internship. Only 10% of applicants receive a call to a first interview. You’re interested in two samples: all students from a rural community college who applied (24) and all students from Arizona who applied over the last five years (5804).

What are the mean and standard deviation for the large sample?

Explain in the context of this scenario what the mean represents, with appropriate rounding and units.

For the large sample, what is the probability that at least 600 students in the past five years received a first call?

A business school claims that students who complete a 3-month typing course can type a mean of more than 1200 words an hour. A random sample of 25 students who completed this course typed a mean of 1125 words an hour, with a standard deviation of 85 words. Assume that typing speeds for all students who complete this course have an approximately normal distribution. A) Using the P-Value method and a significance level of 1%, is there evidence to support the business school’s claim? B) Construct the corresponding confidence interval and explain how it supports your conclusion in (a).

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 (population 1) Five years ago (population 2)

sample mean 86 88

sample variance 112.5 54

sample size 45 36

The 92.50% confidence interval for the difference between the two population means is (round your answer to 2 decimal places).

a team of educational researchers want to assess the learning outcomes of courses that are offered in traditional face-to-face classroom as compare with online sections. section 1 (traditional classroom) consisted 101 students and section 2 (online class) were 105 students. At the end of the semester the researchers measured achievement scores. students in section 1 had an average of 85 with standard deviation of 6.5 and section 2 (online) earned an average of 78.0 with standard deviation of 9.5. is there a significant difference between the traditional and online class outcomes? at 95% level, apply five-step hypothesis testing and interpret the result.

Suppose some students are able to borrow for college at a rate of 5%, which also is the market rate of return. For other students, the only source of funds to borrow for college is Louie the Loanshark, who charges an interest rate of 20%. What are the consequences for the educational attainment of these different students? Is there a potential role for government intervention in the education market?

Explain the difference between a short-run and a long-run credit constraint. Give an example of a policy that could overcome each type of constraint. Why is it important for financial aid policy to distinguish between short- and long-run credit constraints?