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Answer :
Final answer:
Without additional information about the population proportion that believes in stricter gun laws, the mean number of people in samples of size 190 who hold that belief cannot be determined.
Explanation:
To find the mean number of people who believe there need to be stricter gun laws in samples of size 190, we need more information about the population proportion that believes in stricter gun laws. Without that, we cannot determine the mean. Therefore, the correct answer to the question is b) Cannot be determined from the information given.
For instance, if a previous study showed that 60% of the population believes in stricter gun laws, we could then estimate the mean of a sample of 190 people as 0.60 * 190 = 114 people. However, without this kind of information, we cannot provide a specific number.
The law of large numbers and expected values are statistical concepts relevant here. The law of large numbers suggests that as the sample size increases, the sample mean tends to be closer to the population mean. Expected values allow us to predict the average outcome for samples given the population proportion.
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