In: Statistics and Probability
You want to find out the percentage of community college students that own a pet. You decide to email five students in one of your classes and ask them if they own any pets.
(a) What is the population in this example?
(b) What is the sample?
(c) What is the parameter of interest?
(d) Suppose three of the five students tell you they own a pet, while the other two say they do not. i. Is this numerical or categorical data?
Explain your answer. ii. What is the value of the statistic of interest in this survey? Show a calculation.
(e) Have you taken a simple random sample of the population? Explain your answer. (f) Do you think this sample will be representative? Explain your reasoning.
2. You later do a larger survey of 20 community college students. You ask each of the 20 people the question “How many pets do you own?”
Here is the data you collected. 5,2,4,1,0,0,1,3,2,7,6,0,0,1,1,3,2,2,1,5. Make a table that shows the frequency, relative frequency, and cumulative relative frequency of the responses.
3. Draw a histogram of the data from the previous problem, using four class intervals, i.e., using four bars.