Suppose all the students in a class are asked to choose between α and β simultaneously. If a student chooses “β” he/she immediately gets B +. If the student chooses “α”, then his/her payoff depends on the choices made by the other students. If at least 90% students choose α, then all of those who chose α get A, otherwise they get F. Find the nash equilibrium

Statistics Class Times A professor wishes to see if students show a time preference for statistics classes. A sample of four statistics classes shows the enrollment. At =α0.01, do the students show a time preference for the classes? Use the P-value method with a TI-83 Plus/TI-84 Plus calculator. Time :800AM :1000AM :1200PM :200PM Students 22 35 29 26

For one statistics course, among the students who purchase textbook, 60% choose physical textbook, 40% choose electronic textbook. Assume three students who made the purchase are randomly selected. Let random variable X be the number of students chosen physical textbook.
1.(6) find the probability distribution of X.
2.(4) Find the mean of and the standard deviation of X

Two students use a uniform slab of wood (mass= 10 Kg, length = 2.0m) in order to move a delicate but heavy piece of lab equipment (mass = 55 kg). The piece of equipment is placed 0.35 m from one of the students (note: one of the students is stronger than the other, but they succeed in keeping the slab perfectly level).

Find the force that the student nearest to the load applies to the slab:

The Business department of a college desires to survey a sample of students taking business statistics. The department is offering 30 classes of business statistics, similar in class size with a total of 1,200 students. They would like the sample size to be roughly 10% of the population of the business statistics students this semester. Describe how might the department obtain a sample using simple random sampling, stratified sampling, and cluster sampling.

It is thought that 12% of all students taking a particular course received a grade of A. In a sample of 155 students, it is found that 21 made an A. can we conclude that the ratio of students with grade of A is higher than 12%? To do so

a) State the null and alternative hypotheses.

b) Compute the test statistic-value.

c) Find the critical-value.

d) Identify the decision rule and express your decision.

Allocating resources in education is important. Based on the recent PISA test score results, students in China on average score higher than students in the U.S. Carefully design an experiment to provide policy recommendations on how to improve students’ performance in the U.S. Clearly state what questions you are trying to answer, and how your control and treatment group will help you answer those questions.

A sample of 20 students who had recently taken elementary statistics yielded the following informatin on brand of calculator owned (T = Texas instruments, H = Hewlett Packard, C = Casio, S = Sharp):

C S T C C S T T S C

C T T T H H S S C H

a. Estimate the true proportion of all such students who own a Texas Instruments calculator.

b. Of the 6 students who owned a TI calculator, 2 had graphing calculators. Estimate the proportion of students who do not own a TI graphing calculator.