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, all tenth-grade girls, and determined the mean number of sit-ups they could do. can she make an inference about the population mean for all tenth-grade girls based on the sample? no, because the sample size was not big enough. no, because she did not use a simple random sample. yes, because the sample size was big enough. yes, because she used a simple random sample.

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14-04-2022
Mathematics

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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, all tenth-grade girls, and determined the mean number of sit-ups they could do. can she make an inference about the population mean for all tenth-grade girls based on the sample? no, because the sample size was not big enough. no, because she did not use a simple random sample. yes, because the sample size was big enough. yes, because she used a simple random sample.

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shivishivangi1679 shivishivangi1679 · Answer 1 · 2022-04-25T09:36:27+02:00

The true statement is as follows "No because she did not use a simple random sample".

What is random sampling?

Random sampling is the method to choose the given samples of observation to make assumptions about the population.

It is given that

Population: All tenth-grade girls

Sample: 20 intramural tennis players

The 20 intramural tennis players cannot represent all tenth-grade girls.

This is so because the selection is biased here, and it could not be used to make inferences about the overall population. then she did not use a simple random sample.

Hence, the true statement is (b)