How do I prepare the four standards?

Materials

Methanol

200. ppm w/v nicotine stock in methanol

250. ppm w/v quinoline stock in methanol

Standard Preparation

Prepare four standards using methanol as the dilution solvent. These standards should be prepared directly in GC vials assuming additivity of all solutions (use micropipets). The final volume of each should be 1.00 mL. The nicotine concentration should vary as follows: 10.0, 20.0, 30.0, 40.0, and 50.0 ppm w/v. The quinoline concentration should be 25.0 ppm w/v for each standard. Create a table that clearly shows what volume of each stock and methanol needs to be added to create these standards.

If you are given that y = f(x, v, w) = 2x -3 w + 5v; if you are also told the values of w = 5 and v = 10

a) Find an expression for f(x) = y in terms of x (i.e. plug in for w and v and reduce the equation

b) Plot your solution to the right

c) If you are told that x changes from 4 to 6, illustrate and explain what happens in your graph above.

d) If you are told that w changes from 5 to 2, how does this change what you solved/plotted? Show graphically and explain. Hint: Go back to your original equation and plug in w = 2 and v =2 and plot the line. What happened?

Write a static method remove(int v, int[] in) that will return a new array of the integers in the given array, but with the value v removed. For example, if v is 3 and in contains 0, 1, 3, 2, 3, 0, 3, and 1, the method will return an array containing 0, 1, 2, 0, and 1. Hint: You can follow two steps to solve this problem: Create an array in the method, let say you called it result. Before you create the result array, you need to find the number of values that will be in the result. Assign all values from in array to results array except v value. Return the array result. (JAVA) the main method and the class should be in 2 separate files

Suppose there are 54% female students on CMU campus. A random sample of 100 students was obtained. What is the probability there will be equal to or more than 58 female students?

Our class has 50 students. Assuming that no students are born on leap days (February 29), what is the probability that no two students share the same birthday? What is the probability that at least one of the students has the same birthday as another student in the class? Please provide your answers in the form of a fraction.

In 2006​, there were 11,300 students at college​ A, with a projected enrollment increase of 800 students per year. In the same​ year, there were 30,900 students at college​ B, with a projected enrollment decline of 600 students per year. According to these​ projections, when will the colleges have the same​ enrollment? What will be the enrollment at that​ time?

Say the fraction of students at college 1 who took statistics is given by 1/4. Say the fraction of students at college 2 who took statistics is given by 3/5. You survey 10 people from each college (so 20 people in total).

(a) What is the probability that more than half of the students surveyed from college 1 took statistics?

(b) What is the probability that more than half of the students surveyed from college 2 took statistics?

(c) Assuming that the colleges are independent, what is the probability that more than half of the students surveyed from college 1 took statistics and more than half of the students surveyed from college 2 took statistics?

(d) Assuming that the colleges are independent, what is the probability that more than half of the students surveyed from college 1 took statistics, or more than half of the students surveyed from college 2 took statistics?

     The mean height of a random sample of 47 students who take part in athletic activities at NRDC is 175cm with a standard deviation of 5cm while a random sample of 132 students who showed no interest in athletics had a mean of 170cm and a standard deviation of 7cm.

(a) Construct a 99% confidence interval for the difference in the mean heights of the two groups of students.

(b) Are students who take part in athletic activities taller? Test at the 1% level of significance.

     The mean height of a random sample of 47 students who take part in athletic activities at a school is 175cm with a standard deviation of 5cm while a random sample of 132 students who showed no interest in athletics had a mean of 170cm and a standard deviation of 7cm.

(a) Construct a 99% confidence interval for the difference in the mean heights of the two groups of students.

(b) Are students who take part in athletic activities taller? Test at the 1% level of significance.

1. A recruiter, Joey Falcon, interviews 6 students. Each student has a probability of 0.2 of receiving a recommendation from Joey Falcon (the result from each student is independent from the results of the other students). Let X be the number students who Joey Falcon recommends.

A second recruiter, Sophie Secaucus, interviews 4 students (different from the above 6 students). Each student has a probability of 0.3 of receiving a recommendation from Sophie Secaucus (the result from each student is independent from the results of the other students. Let Y be the number of students who Sophie Secaucus recommends.

1. Find the joint pmf for X,Y (assume X and Y are independent).
2. Find p(X<3, Y<2)
3. Find p(X+Y<5)

A counselor at Cypress College wanted to see if students who are in the EOPS program at Cypress College have more consistent grades than students who are not in the EOPS program. To test this, the counselor obtains random sample of students who are part of the EOPS program and a sample of students who are not and records their GPAs. The data is given below. Test the claim that students who are in the EOPS program have more consistent grades at the α=0.05 level of significance.