Nabisco, the company that owns Oreo, claims that the true mean weight of an Oreo cookie is 11.3 grams. In this Activity, students will be using sample data to examine the potential evidence against this claim. You might want to have 30 Oreos in the front of the classroom to make the data more realistic – actually this is just so that each student leaves class with an Oreo. I promise this will help when you are recruiting students for next year’s AP Stats class.
Too many students are conditioned to memorize “z* for proportions, t* for means“. While this is true, this statement does not answer the why. The short answer is that when trying to estimate the mean of a population, we also have to estimate the standard deviation of the population in order to understand the standardized distribution of sample means. Because we are now trying to estimate 2 parameters, we are introducing more variation into the standardized statistic. Thus the distribution of sample means follows a t-distribution, which is wider and shorter than a Normal distribution. We will give a more detailed explanation in Section 9.3.
How to satisfy the Normal/Large Sample condition?
There are three potential ways to satisfy the Normal/Large Sample Condition
Easy:If the population distribution is (approximately) Normal, then the sampling distribution of the sample mean is (approximately) Normal.
Medium:If the population distribution is not Normal (or shape is unknown), the sampling distribution of the sample mean is approximately Normal if the sample size is large enough, which is 30 in most cases. Students learned about the Central Limit Theorem inSection 7.3.
Hard:If the shape of the population is unknown and the sample size is small, graph the sample data. If the sample data shows no strong skewness and no outliers, it is reasonable to assume the population distribution is approximately Normal (meaning the sampling distribution is approximately Normal).
When we get to Chapter 9, Nabisco’s claim that the mean weight of an Oreo is 11.3 grams will become thenull hypothesis. Students will then use the data to determine whether or not we have convincing evidence against this claim by calculating aP-value. We can get students already thinking about this by asking whether or not the confidence interval provides convincing evidence against the claim (it does!).
FAQs
Answer Key:
Nabisco, the company that owns Oreo, claims that the true mean weight of an Oreo cookie is 11.3 grams.
How to construct a 95 percent confidence interval AP Stats? ›
Correct answer:
To obtain 95% confidence intervals for a normal distribution with known variance, you take the mean and add/subtract \displaystyle 1.96\times standard\ error. This is because 95% of the values drawn from a normally distributed sampling distribution lie within 1.96 standard errors from the sample mean.
How much does an Oreo cookie weigh? ›
According to Nabisco, an Oreo weighs 11.3 grams.
How to find the median AP stat? ›
To find the median of a sample with an even sample size, order the values from smallest to largest, take the two values in the middle, add them, and divide that by zero.
What percent is a 5 on AP stats? ›
For students aiming to secure a 5 on the AP Statistics exam, an estimated objective is to obtain between 75% and 80% of the maximum possible points on the test.
What percentage is a 4 on the AP Stats exam? ›
As a general guide, though, you can consider roughly more than 70% correct as being in the 5 range, 50-69% for a score of 4, 40-49% for a score of 3, 30-39% for a 2, and below 30% would likely be a 1. Again, these ranges are approximations and can vary by subject and by year.
What does 95% confident mean AP stat? ›
If we took many, many samples and constructed a confidence interval for each sample, we would expect 95% of the intervals to capture the true (parameter in context). In 95% of all possible samples, the interval computed from the sample data will capture the true (parameter in context).
What does 90% confidence level mean? ›
With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval (for example, plus or minus 4.5 percent instead of 3.5 percent).
Why does Oreo say double stuf? ›
"Stuf," in case you need to be reminded, is a made-up word. "Stuf" doesn't refer to creme or cookie in whole or in part or in any combination thereof. To Nabisco Double Stuf means double the enjoyment in every bite, and for about the same price as regular Oreos. So "Stuf" means great taste, fun, and value.
Is double stuff actually double stuffed? ›
Well, a math teacher named Dan Anderson and his class weighed a pile of Oreos, then scraped out and weighed all the white filling to find out the “regular” amount of filling. They did this again with Double-Stuf, and found out it was only 1.86 times as much stuffing, not 2.00.
About 66 Oreos would have around 3500 calories, which is equal to a pound.
What is the cuss in statistics? ›
common language which follows the acronym C.U.S.S. C: Measures of the Middle (mean and median) U: Unusual Features (gaps, clusters and outliers) S: Shape (skewed left, skewed right, mound, symmetric, uniform, bi-modal and multi-modal) S: Spread (variation, range, interquartile range, variance and standard deviation)
What does the P stand for in the P hat? ›
If repeated random samples of a given size n are taken from a population of values for a categorical variable, where the proportion in the category of interest is p, then the mean of all sample proportions (p-hat) is the population proportion (p).
What does SOCS stand for in AP stats? ›
When describing a Quantitative Distribution we want to at least note 4 things: The shape of the distribution, the presence of outliers, the center, and the spread. A helpful acronym to remember this is SOCS: Shape. Outliers. Center.
How much does one piece of Oreo weigh? ›
A regular Oreo cookie weighs 11.3 grams. A Double Stuf Oreo weighs 14.5 grams, and a Mega Stuf Oreo weighs 18 grams. Assuming that the chocolate-cookie part (the part that isn't Stuf) of all three versions is the same (and Mr.
How much does an Oreo pack weigh? ›
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Is AP Statistics math heavy? ›
The Course Material
AP Statistics covers nine units of course content in heavy topics that require requisite knowledge of advanced math and reasoning skills. As with any AP course, organized study habits and advanced planning are highly recommended.
