According to a report of the National Foundation for Infectious Diseases 46% of all college students in the US receive the flu vaccine. Suppose that 6 college students are selected at random.

Let X = the number of college students who are vaccinated in a random sample of 6 college students. Question 4 Subquestions 4.a

O 5 Suppose you are asked to produce a stick graph representing the distribution of X. How many sticks will be included in your stick graph?

point(s)

too many to list since I will be using a normal distribution

l-

5

’ 6

7

Can not be determined with the information provided

4.b I I I I I I I I I I I

TBD 1. What is the distribution of X? Be specific: ProVIde the name of the distribution and the values of the appropriate parameters. Be sure to

points include validation as to why you selected such model.

2. What is the expected value X? What is the standard devistion of X? For both numerical summaries, provide symbol, value and units.

| 3. List all the values of X that are within one standard deviation of the mean.

I

Be sure to clearly label your answer as 1., 2., etc.

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4.c

TBD After reading the report released by the National Foundation for Infectious Diseases, you find it hard to believe that only 46% of college students

points get the flu vaccine, after all, the colleges and universities are constantly offering incentives such as free food, gift cards, etc.

| You decide to conduct a brief survey in your dorm building. In a random sample of 30 student who live in your dorm building, all 30 said that

a they got the flu vaccine. Does the result of your study make you doubt the 46% reported by the National Foundation for Infectious

Diseases?

Provide a written response to address this question and include appropriate numerical support.