summerjoiner
27.03.2020 •
Mathematics
The popular candy Skittles comes in five colors. According to the Skittles website, the five colors are evenly distributed in the population of Skittle candies, so each color makes up 20% of the population. Suppose that we purchase a small bag of Skittles. Assume that this size bag always has 20 candies. In this particular bag, 6 are green: 6 out of 20 is 30%. Is this a surprising result? Use the applet to conduct a simulation. Which option gives the right answer and the best explanation? Group of answer choices Yes, this result is surprising. Random samples with this much error are unusual. Yes, this result is surprising. We expect 20% of candies to be green. No, this result is not surprising. It is a little bit more than one standard deviation above 20%. No, this result is not surprising. We expect random samples to vary.
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Ответ:
No, this result is not surprising. It is a little bit more than one standard deviation above 20%
Step-by-step explanation:
Proportion of each color in the population (p) = 0.20
Sample size (n) = 20 Skittles
The standard deviation of a sampling distribution is determined by:
The difference between the observed proportion of 0.30, and the mean proportion of 0.20 is 0.10, which is just a little bit more than one standard deviation of 0.089. Therefore, this result is not surprising since it is a little bit more than one standard deviation above 20%.
Ответ:
Full question:
A student wants to find the answer to the question “What is the most popular restaurant in Bedford?” He asks 20 randomly selected customers at one local restaurant. Which best describes the accuracy of the results of the survey?
The survey results will be accurate since the sample was chosen randomly.
The survey results will be inaccurate since the entire population should have been surveyed.
The survey results will be inaccurate since the entire sample of the population was eating at the same restaurant.
The survey results will be accurate since the sample represents the population and the population is the target of the survey.
Option C
The survey results will be inaccurate since the entire sample of the population was eating at the same restaurant best describes the accuracy of the results of the survey
Explanation:In a statistical study, sampling methods relate to how we choose members from the population to be in the research. If a sample isn't randomly chosen, it will reasonably be biased in some way and the data may not be representational of the population.
Efficient interpretation of data is based on real procedures for generating data and sensitive analysis of the data.The efficiency depends on how strongly the sample outlines the population. The sample must contain the attributes of the population to be representative. Here sample is chosen from one local restaurant so it willnot produce efficient analysis result.