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(03.08 LC) The following function represents the value of a motorcycle, in dollars, after x years: f(x) = 19,000(0.91)x What does 0.91 represent?

4 students apply to a PhD program.  The program rejects 45% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number out of the 4 students who get rejected into the PhD Program. (Hint: Binomial distribution with n=4, P=45%)   What is the mean of the random variable?  (round your answer to 4 decimal places)

(04.03 MC) Determine the equivalent system for the given system of equations: 2x + 3y = 74x − 2y = 4

If a researcher randomly selects 6 of the 12 colleges that are part of the university, then selects their subjects randomly only from those 6 selected colleges, what type of sampling has occurred?

According to the Chicago Cubs there average attendance at a home game through out the year of 2019 was 38,208 based on attendance at all home games in 2019.  38,208 is a statistic.

A researcher is curious to see if the amount of time spent on social media influences how often friends meet in person to socialize.  After their sample is selected the researcher asks the subjects on average how much time they spend on social media each day and on average how many times per month do they meet in person with their friends to socialize.  What type of study design is this?

Using the following Scatter Plot: Select that statement that is true, that can also be justified by this graphic.

When the sample is selected by breaking the sample up into groups based on a preexisting quality and samples from each of the existing groups, what type of sampling is being done?

A researcher is curious to see if stress level for high school students influences their likelihood of going to college.  So they ask 500 people who attended college what their stress level was in high school and asked 500 people who did not attend college what their stress level was in high school.  What type of study design is this?

A study is observational when the researcher controls the behaviors of their subjects.