Read through the powerpoint notes and post one comment about how something you saw related to our m&m sampling lab.
Notes on Chapter 9 Sampling Distributions
9.2 Sampling Distribution Proportions Notes
9.3 Notes Sampling Distributions Means
Read through the Notes for 9.3 and post a comment below about how the topic is different from the proportions in 9.2.
A parameter represents the a total population while a statistic is representative of individual samples. If X is the # of orange M&Ms from our experiment, the parameter would be the # orange M&Ms for every M&M in existence, while the statistic is the # of M&Ms I have in my bag.
ReplyDeleteThe M&M laboratory activity represents the principles of parameters and statistics very well. In our laboratory activity, the number of total orange M&Ms in existence represents the parameter (a figure that describes the population), while the number of M&Ms in our individual bag represents the statistic (a figure that describes the sample).
ReplyDeleteThe results of the M&M lab were a statistic because our data only represented our sample and not the whole population of M&Ms
ReplyDeleteOur M&M lab was only a small portion of data compared to how many bags of M&Ms there are in society. This makes the our M&M lab a statistic because it is only a small portion of data.
ReplyDeleteThe M&M lab allows us to successfully distinguish between parameters and statistics. While in the lab, we examined the proportion of orange M&Ms in our individual bag to the rest of candies in the bag, this only represented the statistic while the total number of orange M&Ms on Earth represent the parameter. However, the parameter is impossible to measure completely accurately because the number of orange M&Ms in existence is always changing.
ReplyDeleteThe M&M lab shows the difference between a statistic and a parameter. A statistic is a number that describes a sample; in this case, it's the number of orange M&Ms in our bag compared to the other candies in the bag. However, a parameter is the number of a population, which in this case would be all the orange M&Ms in the world. A parameter is a fixed number because its value is constantly changing and would be too hard to examine otherwise.
ReplyDeleteSection 9.3 describes the sampling distribution of the mean of the responses in an SRS whereas section 9.2 was taking an SRS from the population of interest to estimate the proportion of successes in the population
ReplyDeleteSince the M&M lab was only a sample of the entire amount of M&M's in the world, this makes our data a statistic. In our lab, the the total number of orange M&M's is the parameter, while the specific number of M&M's in each bag is the statistic, like I stated above.
ReplyDeleteA statistic is the the number that describes a sample and a parameter is the number of a population. In the M&M lab, a statistic was shown through the number of orange candies compared to the other candies in the world. A parameter was shown through all of the M&M's in the world.
ReplyDelete