Suppose we want to estimate the average number of purchases in a given hour in a local convenience store. Using this example describe in your own words how you would go about determining this average through:
A.) Drawing a random sample: Drawing a random sample would be the most effective way to determine this out come of this for you have a certain amount of time which is 60 minutes, where in this time period we factor many variables such as time of day, work week or week end, or even a holiday would make the outcome be different of a random sample.
B.) A Systematic sample: could be used also be used due to determining how many purchases are made in an hour, but population isn't what is being counted just purchases.
C.) A convenient sample: This could also be used as a method of determining the outcome of an hour of purchases at a convenient store; because the population in this one not necessarily mean that a purchase will be made while in their, the variables to this problem include, going in for direction, using the restroom or as simple as just browsing to stretch your legs after a long period of time in a car .
II. The severity of side effects experienced by patients being treated with a particular medicine is under study. The severity is measured on the scale :none, mild, moderate, severe, very severe.
A.) Name a variable of interest: the side effects are the most important variable of interest due to the scale of severity. Each person reacts or has a different level of tolerance.
B.) Identify the type of variable: Risk factors, are a variable to the outcome of this , some of the factors that can give you the results that you are looking for. There are many variable here for this, but age, sex, gender, physical shape, if you have a high or low tolerance to certain drugs can be a determining factor on the outcome of this experiment .
I certainly hope this is right.
In determining the average number of purchases in a given hour at a local convenience store, different sampling methods can be used to estimate the average. Let's go through each method and explain how it can be applied in this scenario:
A.) Drawing a random sample: To estimate the average number of purchases in an hour, you could randomly select a certain number of hours throughout the day or week. By randomly selecting these specific time periods, you can account for different factors that may affect the number of purchases, such as time of day, weekday or weekend, or even holidays. This random sample will provide a representative snapshot of the store's performance during different periods.
B.) Systematic sample: In this particular case, a systematic sample may not be the most appropriate method. Systematic sampling involves selecting every nth element from a population, and in the context of purchases in an hour, the important aspect is the number of purchases rather than the population itself. However, if you were interested in analyzing the ordering or timing patterns of the purchases, a systematic sample could be useful.
C.) Convenient sample: While a convenient sample may not provide the most accurate estimation, it can offer insights when other methods might not be feasible or practical. In this scenario, a convenient sample could involve recording the number of purchases during specific hours selected based on convenience or availability. However, it's important to note that a convenient sample may introduce bias, as it relies on the individuals present at the convenience store during those specific hours.
Now, let's move on to the second scenario regarding the severity of side effects experienced by patients being treated with a particular medicine:
A.) Variable of interest: In this case, the variable of interest would be the severity of side effects experienced by the patients. The focus is on measuring the severity and categorizing it into levels such as none, mild, moderate, severe, or very severe. This variable will help assess the impact of the medicine's side effects on the patients.
B.) Type of variable: The type of variable in this scenario would be categorical. The severity of side effects falls into separate categories and is not continuous in nature. Additionally, when studying the severity of side effects, there could be other variables to consider known as risk factors. These factors, such as age, sex, gender, physical shape, and individual tolerance to certain drugs, can help identify potential associations or influences on the severity of side effects experienced by patients. By considering these risk factors, researchers can better understand the impact of the medicine on different subsets of the population.
It's important to note that the examples provided here are for illustrative purposes, and actual research or data collection requires careful consideration of various factors, including sample size, representativeness, and statistical analysis methods.