Respuesta :
Answer:
No, it is not possible because she forgot to use a simple random sample.
Step-by-step explanation:
A simple random sample can be defined as a subset of a group of people or animals or things in which the probability of chosen every member of the group is the same. This sampling method is normally used because it is an unbiased method of sampling any set of groups. Therefore, based on the available information, it would be difficult for her to infer the population mean because she forgot to use a simple random sample.
The inference about the population means for all tenth-grade girls based on the sample of tennis players will be incorrect.
What is Mean?
A mean is an arithmetic average of a set of observations. it is given by the formula,
[tex]\rm Mean = \dfrac{Sum\ of\ observations}{Number\ of\ observations}[/tex]
Given to us
The number of sit-ups that all tenth-grade girls can do in 5 minutes is normally distributed, Beth surveyed 20 of her fellow intramural tennis players,
The reason for the sample being wrong
As the girls whose survey Beth is doing are tennis players, therefore, their average sit-ups will be more than an average student because they are more active with the physical exercise.
The correct survey method
As the survey is been done on a particular type of student it can not represent the entire population, for correct inference she needs to take random samples of the entire class rather than just the tennis players.
When Beth does the survey of only tennis players of the tenth grade, therefore, their mean will be the mean of the tennis players of tenth grade.
Hence, the inference about the population mean for all tenth-grade girls based on the sample of tennis players will be incorrect.
Learn more about Normal Distribution:
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