3. The Associate Dean for Library Services wants to estimate the mean number of times students use the library during a semester. A sample study of 35 students showed a mean of 11 times with a standard deviation of 3 times. A. What is the population mean, using a 99 percent confidence interval? B. What can be concluded from the results? C. What is the population mean, using a 95 percent confidence interval? D. What can be concluded from the results?

According to past data, the 15% of all college students in California are business majors. Suppose a random sample of 200 California college students is taken.

a) What information about this sample allows us to use the normal distribution for our sampling distribution?

b) Calculate the standard error. Round to two places for ease.

c) What is the probability that the sample of 200 gives a sample proportion of 18% or higher? Show your calculator function and entries. Round to 4 places.

In a survey of 145 students at GCSC it was found that 47 of them were enrolled in the course Mathematics for the Liberal Arts. If two students from this survey were randomly chosen without replacement, what is the probability at least one of them is enrolled in the courseMathematics for the Liberal Arts?

Round your answer to 4 decimal places.

(Hint: The complement of "at least one" is "none". Find the probability that neither of the two people chosen is enrolled in the course and then use the "complements principle" to find your answer.)

Write a program that uses the defined structure and all the above functions. Suppose that the class has 20 students. Use an array of 20 components of type studentType. Other than declaring the variables and opening the input and output files, the function main should only be a collection of function calls. The program should output each student’s name followed by the test scores and the relevant grade. It should also find and print the highest test score and the name of the students having the highest test score.

Question 1 - Binomials

Eighty percent of the students applying to a university are accepted. Using the binomial probability tables or Excel, what is the probability that among the next 15 applicants:

1. Exactly 6 will be accepted?
2. At least 10 will be accepted?
3. Exactly 3 will be rejected?
4. Eight or more will be accepted?
5. Determine the expected number of accepted students. Remember you are talking about people. Work is required.
6. Compute the standard deviation.- Make sure you have looked at page 245. Work is required.

Let X represent the weight of the students at a university. Suppose X has a mean of 75 kg and a standard deviation of 10 kg. Among 100 such randomly selected students from this university, what is the approximate probability that the average weight of this sample (X100) lies between

(a) 74 and 75 kg

(b) greater than 76 kg

(c) less than 73 kg

Assume that the sample size(N) is large enough for the CLT (Central Limit Theorem) to be applicable.

Sahar is a lecturer of a large class of economics students. Sahar can’t stand being ill and so decides to get a flu vaccination. On the other hand, some of Sahar’s colleagues decide to skip their vaccinations because they are too busy. Do the lecturers’ decisions on whether or not to get vaccinated affect their students and if so how? Describe any market failures that arise from this situation. Describe how the government can address any of these market failures. What are some of the potential downsides to government intervention in this case?

Sahar is a lecturer of a large class of economics students. Sahar can’t stand being ill and so decides to get a flu vaccination. On the other hand, some of Sahar’s colleagues decide to skip their vaccinations because they are too busy. Do the lecturers’ decisions on whether or not to get vaccinated affect their students and if so how? Describe any market failures that arise from this situation. Describe how the government can address any of these market failures. What are some of the potential downsides to government intervention in this case?

Sahar is a lecturer of a large class of economics students. Sahar can’t stand being ill and so decides to get a flu vaccination. On the other hand, some of Sahar’s colleagues decide to skip their vaccinations because they are too busy. Do the lecturers’ decisions on whether or not to get vaccinated affect their students and if so how? Describe any market failures that arise from this situation. Describe how the government can address any of these market failures. What are some of the potential downsides to government intervention in this case?