The failure rate in a statistics class is 20%. In a class of 30 students, find the probability that exactly five students will fail. Use the normal distribution to approximate the binomial distribution.

1.6 Strategies to support full participation of students with disability                                                       Demonstrate broad knowledge and understanding of legislative requirements and teaching strategies that support participation and learning of students with disability.

College officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. How many randomly selected students must be surveyed in order to be 97% confident that the sample percentage has a margin of error of 2 percentage points?

(a) Assume that there is no available information that could be used as an estimate of p^.

(b) Assume that another study indicated that 77% of college students carry weapons.

There is 540 peoplein attendance at a high school basketball game. The admission prices are $5 for students, $7 for parents, and $10 for faculty. The total revenue for the game is$3000. There are 9 times as many students present as parents. Use the variable names: s = # of students, p = # of parents and f = # of faculty. Find the number of each group in attendance by writing a system of 3 equations in the three variables and solving the system.

You believe the rate of students who fail the SOL is lower for school A than school B. A random sample of 500 students from school A showed that 5.8% failed. A random sample of 400 students from school B revealed that 7.5% failed.

A: Verify the assumptions.

B:State the hypotheses

C:What is the test statistic?

D:Test this hypothesis at the significance level .02

E:What is your conclusion?

The college bookstore tells prospective students that the average cost of its textbooks is $52 with a σ of $4.50. A group of smart statistics students think that the average cost is much higher. In order to test the bookstore’s claim against their alternative, the students select a random sample of size 100. Assume that the mean from their random sample is $52.80. Use alpha value of 0.05 level to test the hypothesis.

of all the students admitted to a college,58% take a workshop prior to taking the math placement test. out of all the admitted students, 80% are placed out of the lower level remedial class,while of all students that take the workshop 90% are placed out of remedial class. what is the probability that a random selected newly admitted student will take the workshop and will be placed out of the lower remedial class?

A committee surveyed 173 students from a large university campus and found that 53 of them participated in varsity sports. (a) Based on the survey results, construct and interpret a 95% confidence interval for the proportion of students who are varsity athletes. (b) Based on the survey results, test the claim that more than 25% of students are varsity athletes. Use alpha=0.01α = 0.01. Show all work.

A university has found over the years that out of all the students who are offered admission, the proportion who accept is 0.70. After a new director of admissions is hired, the university wants to check if the proportion of students accepting has changed significantly. Suppose they offer admission to 1200 students and 888 accept. Is this evidence at the α = .05 level that there has been a real change from the status quo?